Sola fide

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TestimonyArguments.SolaFide — justification by grace through faith, not works

The Reformation's material principle, encoded so that its premises are visible and its disputed step is identified mechanically.

The argument runs on three independent strands, and that is the point.

The Pauline strand reads Galatians 2:16 as the centre of a polemic. The Teachers in Galatia required believers to be circumcised as well as to believe, and Paul answers that a person is justified "not by works of the law but through faith in Jesus Christ". It rests on two disputed readings of that verse.

The first is worksOfLawMeansWorksGenerally: whether ἔργα νόμου denotes human works in general, or specifically the covenant boundary markers — circumcision, food laws, sabbath — that marked Jews off from gentiles, as Dunn and Wright argue, building on Sanders' account of Second Temple Judaism. Only on the first reading does refusing circumcision mean refusing every work as a requirement.

The second is pistisChristouObjective: whether πίστις Χριστοῦ is faith in Christ, as Dunn holds, or Christ's own faithfulness, as Hays holds. Only on the first does the verse name the believer's faith as the means of justification. Excluding works is not yet faith alone.

The genitive dispute is a premise inside the Pauline strand, not a third strand. Every πίστις Χριστοῦ text sets it against νόμος, so no route through the genitive avoids the question of what ἔργα νόμου denotes. Nor does it follow the Old/New Perspective line: the New Perspective package keeps the objective genitive, because Dunn does.

The dominical strand rests on Jesus' own words rather than Paul's. ἡ πίστις σου σέσωκέν σε — "your faith has saved you" — occurs four times in Luke (7:50, 8:48, 17:19, 18:42). It is not a free win: σῴζω means both save and heal, and in 8:48, 17:19 and 18:42 the context is physical healing, which is why most translations render "made you well" there. The argument therefore rests on Luke 7:50, where the saying follows "your sins are forgiven" rather than a healing, and carries sozoIsSoteriological as its own premise. It is a second bet, on a different word — rated wellSupported, because no scholar found argues the healing sense at 7:50. It also carries its answer to "she loved much" (7:47): luke7_47LoveIsEvidence, that her love is the evidence of her forgiveness and not its ground, as 7:47b and the parable of the two debtors (7:41–43) read it. The reading of 7:47 is cited to Osvaldo Padilla's narrative-critical study of the episode: her actions "stem from the fact that she loves much because she has been forgiven much". Both premises are also Melanchthon's, in the Apology of the Augsburg Confession, which answers "she loved much" with Jesus' own words: "Christ interprets Himself when He adds: Thy faith hath saved thee". Neither argues σῴζω against the healing sense word by word; Marshall's commentary at 7:50 is named as the philological study to check.

The apostolic strand rests on Peter as Luke reports him. At the Jerusalem council (Acts 15) the demand Galatians answers is made again — "unless you are circumcised according to the custom of Moses, you cannot be saved" (15:1) — and Peter answers that God cleansed the gentiles' hearts by faith, that Jew and gentile alike are saved through grace, and that the law is "a yoke… that neither our fathers nor we have been able to bear" (15:9–11). James concurs (15:19). It carries acts15YokeIsLawAsCondition as its disputed premise: that the yoke is the whole law as a condition of salvation, and not Israel's law laid on gentiles as a mark of belonging, as Jervell reads Luke. The two premises are about different texts, and logically independent; they are not dialectically independent, since a reader who takes ἔργα νόμου as boundary markers will read the yoke the same way.

Each strand delivers only what its texts say. Paul argues for alone: the Galatians already believed, adding circumcision to their faith is what severs them from Christ, and 2:16 names faith as the one means (ἐὰν μή, "except through faith"). Luke 7:50 and Acts 15 say less: that her faith saved her, and that the gentiles are saved without the yoke — that faith suffices (faithIsSufficient), not that nothing else could be a condition. "Through faith", the part of the conclusion the strands are needed for, needs only that. The difference is not pedantry. A case is attacked on what it claims, and a Luke credited with alone would be attacked by the apocalyptic reading on a claim Luke never made.

A Johannine strand is encoded alongside, but not yet inside, the Reformed case (Johannine.lean). Asked what they must do "to be doing the works of God", the crowd is told: "This is the work of God, that you believe in him whom he has sent" (John 6:28–29). Calvin reads that believing as trust, which "brings nothing to God"; Aquinas as faith living through charity, the principle of good works. John alone delivers sola fide on Calvin's reading (johannine_strand_establishes) and not on Aquinas's (johannine_strand_rests_on_believing_as_trust). Luther answers Aquinas from Galatians 3:11–12: the law commands love, and the law is not of faith, so a faith formed by charity would justify by the law (luther_answers_aquinas_from_galatians) — an answer that rests on his step, which Aquinas denies (luther_answer_rests_on_his_step). The strand is not yet one of the strands of reformed, so what follows about three strands is still exact.

Encoding three strands yields a result no single strand could: no disputed premise is load-bearing on its own, because any strand carries the conclusion without the others. What is load-bearing is a disjunction — both Pauline readings, or the dominical one, or the apostolic one. Defeating Paul's reading and Luke's together, which defeated the two-strand version, no longer does. A reader who wins the ἔργα νόμου argument outright does not thereby defeat sola fide, and the New Perspective, which accepts justification by faith while rejecting the traditional reading of Paul's phrase, turns out to establish the conclusion too. Nor does winning the genitive for Hays: that costs the Reformed case its Pauline route, and not its conclusion.

The conclusion has three parts — salvation is by grace, not by works, and through faith — and they are separate atoms, because the rivals divide over different parts. The Tridentine position denies the second: works done in grace merit an increase of justification. The apocalyptic reading of Martyn and Campbell does not reach the third: taking the genitive as subjective and δικαιοσύνη θεοῦ as God's act of deliverance, it denies that faith is the condition of justification, and so has no ground for "through faith" of its own, while establishing grace and "not by works" by its own route (apocalyptic_establishes_grace_not_works). The split also shows which part the strands are needed for. Grace and "not by works" follow from the texts that say so in terms, given an answer to James, with every lexical premise removed (grace_and_works_rest_on_no_lexical_premise). The lexical disputes decide through faith. And each part has its own closing step, which shows what the answer to James is for: grace follows without it (grace_needs_no_answer_to_james), "not by works" does not (james_harmonisation_is_load_bearing).

The New Perspective's reading of ἔργα νόμου has a reason, and its critics answer the reason. Sanders' covenantal nomism — in by grace, staying in by works — is the ground, and Dunn's inference from it to the boundary-marker reading is the step, cited as his (sandersLine). Gathercole and the Variegated Nomism volume deny the ground: Second Temple Judaism also held final vindication according to works, so the demand Galatians refuses is a demand for obedience, and the Reformed reading follows (criticsLine). On the critics' history Paul alone carries sola fide (critics_carry_the_pauline_strand); on Sanders' he does not (sanders_costs_the_pauline_strand). The ἔργα νόμου dispute is a dispute about Second Temple Judaism before it is one about Paul's Greek.

What justification is is a separate question, and the encoding keeps it separate. The Reformed account is forensic: pardon and imputation, not infusion (Westminster XI.1). Trent denies it — justification is "not remission of sins merely, but also the sanctification and renewal of the inward man" — and so does Mannermaa's Finnish reading of Luther, for which Christ himself is present in faith. The Finnish package denies the forensic account and establishes sola fide (forensic_justification_not_load_bearing); Trent denies it and does not. So denying the forensic account is not enough to deny sola fide. What Trent's objection needs is its fuller definition: justification includes the renewal of the inward man, and that renewal grows through good works, so works increase justification. Both sides grant the growth; the Reformed call it sanctification, distinct from justification and following it (Westminster XIII.1; Calvin, Institutes III.xi.6). Put the distinction in place of Trent's definition and Trent's case no longer denies "not by works" (trent_objection_rests_on_its_definition). The dispute over merit is a dispute over what justification is — but over sanctification, not over infusion as such.

Authorship. Ephesians, Titus and 1 and 2 Peter are each disputed, and each dispute is catalogued from both sides — Hoehner and Lincoln on Ephesians, Mounce, Dibelius–Conzelmann and Marshall on the Pastorals, Jobes and Achtemeier on 1 Peter, Schreiner and Bauckham on 2 Peter, and Ehrman across all four. Granting every critical conclusion costs the argument nothing, because it reads these letters as canonical scripture rather than as an apostle's testimony. It does cost them their use as evidence of what Paul meant by "works", which is why that premise is argued from Romans 4, 9 and 11, where the law is not in view and the authorship is not in doubt.

James 2:24 — "a person is justified by works and not by faith alone", the only occurrence of faith alone in the New Testament — is no longer assumed away. Its compatibility with Paul is now derived from two cited premises: that James's target is a barren faith, mere assent ("even the demons believe", Jas 2:19), and that works are the fruit and evidence of saving faith rather than a ground of justification. Moo and Johnson for the exegesis; Westminster XI.2 for the confessional form — faith "is not alone in the person justified, but is ever accompanied with all other saving graces, and is no dead faith, but worketh by love". james_harmonisation_is_load_bearing shows the argument genuinely depends on this: drop it and sola fide does not follow.

Weighed as a dispute, with each strand, Trent, the apocalyptic reading, Sanders, the critics, Jervell, Paul's gospel, Paul's word (lexically, and from Romans 4) and Trent read as a claim about that word as parties, one thing prevails outright: Paul's word — δικαιόω does not denote the renewal of the inward man. Its two routes are the only parties whose every link is rated above disputed, and each defeats Trent read as a claim about the word, which cannot be defended at all. Everything else ties. Every other party's weakest link is disputed, and every attack between Trent and a Reformed party runs both ways: Luke's case, Paul's gospel and Trent are each defensible, and none is accepted on every resolution. Luke's case, holding only Luke's words, meets Trent over faith's sufficiency, and the apocalyptic reading not at all — Luke says faith saved her, not that faith alone does — so the dispute between Campbell and the Reformed reading is between Campbell and Paul, over the genitive.

Where Trent parts from Paul (Gospel.lean). Paul's answer to anything added to the gospel is Galatians — another gospel, accursed (1:6–9); if righteousness came by the law, Christ died for nothing (2:21) — and the gospel is that Christ died for our sins (1 Corinthians 15:3). Read with the forensic sense of δικαιόω, it denies Trent's definition of justification as renewal. Trent grants every text, and — with the Joint Declaration (§22) and New Testament scholarship across traditions — the forensic sense of the verb. A checked Because finds where they part: one step, that a verdict on a finished work excludes the renewal wrought in us.

What Trent's definition claims (Definition.lean). The definition can be read as a claim about Paul's word or about what God does in justifying, and a checked Dilemma answers both. Read as a claim about the word, it cannot be held with the lexical case — the forensic sense, Paul's own words for renewal, and the rule of least meaning (Joos, Silva; Barr's "illegitimate totality transfer") — at a step rated wellSupported; nor can the step from the Latin gloss Trent rests that reading on (Augustine: "being justified" is "being made righteous") to what the Greek word denotes. Read as a claim about what God does, nothing about the word reaches it, and it conflicts with Paul twice — with his gospel in Galatians and with Romans 4:5–8, "God justifies the ungodly" — each at a disputed step: Augustine grants Romans 4 and reads it the other way. Romans 4 thus does two things: read for the word, it is a second route, rated wellSupported, to the lexical conclusion; read for the reality, it meets Trent where Galatians does, and no higher.

Heard narrower (Hearings.lean). Two questions a reader asks, answered by hearing the same dispute with some parties set aside. What did the Reformation itself decide? Heard as Rome and the Reformers alone, only Paul's word is forced; Trent's definition, as a claim about what God does, and the Reformed strands tie. Without Trent, would Scripture establish sola fide? Four things are then forced — Luke's "faith suffices", Paul's gospel, and Paul's word by both routes — but faith alone is still not: Campbell on πίστις Χριστοῦ, Sanders and Dunn on ἔργα νόμου, and Jervell on the yoke each still stand against it. The obstacle then is modern exegesis, not Rome.

Jesus' own words (JesusWords.lean). What does Jesus himself say? Luke 18:9–14 — the tax collector "went down to his house justified" — is his own teaching on justification and works, in Paul's word for it. Trent's case is consistent with every word of the parable, and with the tax collector bringing no meriting works. Trent never cites Luke 18; applied to it, its dispositions (Session VI, ch. 6) and canon 9 deny the step to "faith suffices". So Luke 18 meets Trent where Luke 7:50 does, at Trent's definition. Matthew 7:21–23 and 19:16–22 are read both ways, each reading cited and disputed, and neither text settles its question alone. Heard together, Jesus' words force nothing; heard without Trent, Luke's two sayings are forced (that faith sufficed, not that faith alone saves) and Matthew is not. This is a dispute of its own, kept apart from the one above for the reason the Johannine strand is.

Baptism (Baptism.lean). Trent makes water baptism the instrumental cause of justification, and qualifies it in its own words: "or the desire thereof". Water, the Spirit and "fire" are kept as separate atoms, so no argument passes from one sense of "baptism" to another. Read so that the washing itself is necessary for salvation — Feeney's reading — Trent's claim cannot be held with the thief read as Augustine reads him, nor with Rome's own teaching on the desire. Read in Trent's own words, the thief does not reach it; what it meets is the Reformed argument from the desire — where only the desire is present, what justifies is not the washing — at a step Aquinas contests. John 3:5 is a dilemma of its own: of the four readings of its "water" on record, only the baptismal one leaves Trent's step from the verse standing, and even then the step is disputed. And that Acts gives the Spirit both before the water and after it is common ground: Rome says God "is not bound by his sacraments".

Where things are

FileContents
Atoms.leanthe Claim atoms
Sources.leanbaseCite, and each position's citation of the premise it disputes
Lines.leanthe inference steps, the three strands, the apocalyptic rival, what they share
Packages.leanthe positions, and the variants that remove a named premise
Results.leanevery @[headline] result, with its trust base
Dispute.leanthe positions as parties to one dispute, who defeats whom, and what prevails
Johannine.leanthe Johannine strand and Aquinas's rival reading, encoded alone
Gospel.leanPaul's gospel in Galatians against Trent's definition, and where they part
Definition.leanPaul's word, and the dilemma over what Trent's definition claims
Hearings.leanthe dispute heard narrower: the Reformation alone, and without Trent
JesusWords.leanLuke 18, and both readings of Matthew 7 and 19: what Jesus' words decide
Baptism.leanwater, Spirit and fire apart; the instrumental cause; John 3:5

TestimonyArguments.SolaFide.Atoms — the atomic claims

The prooftexts of the three strands, their four disputed premises, the reading of Galatians as a polemic, the authorship of the disputed letters, the rivals' premises — covenantal nomism, forensic justification, the apocalyptic reading — the James premises, and the three parts of the conclusion. See TestimonyArguments.SolaFide for the dispute this encodes.

TestimonyArguments.SolaFide.Sources — a citation for every atom

Several cite functions, not one. The atoms are shared across the positions; the citation of a disputed premise is not, because each side of a dispute is cited to its own scholarship. The Reformed tradition and the New Perspective part over what Paul's ἔργα νόμου denotes; Dunn and Hays part over the genitive in πίστις Χριστοῦ; the apocalyptic reading parts from both.

baseCite carries the default citation of every atom; reformedCite, newPerspectiveCite, subjectiveGenitiveCite, apocalypticCite and lawObservantLukeCite each override the one atom where their position parts from it, and criticalAuthorshipCite the four atoms on who wrote the disputed letters. That is the disagreement made mechanical: it shows up as a difference in the generated manifest rather than as a remark in a docstring.

Rated inferences

A dispute weighs a position's inference steps as well as its premises (see Testimony.Logic.Dispute), and a step is rated disputed when a cited source grants its grounds and denies its conclusion. These are the ratings the positions in SolaFide.Dispute carry.

The claims, numbered

claimkindheldsource
\(P_{1}\)Ephesians 2:8–9 teaches salvation by grace through faith, not of workstextualReformed Protestant, well supportedEph 2:8-9; calvin-institutes-1960, §III.xi.7; lincoln-ephesians-1990, ad loc. Eph 2:9
\(P_{2}\)Romans 3:28 teaches justification by faith apart from works of the lawtextualReformed Protestant, well supportedRom 3:28; calvin-institutes-1960, §III.xi.19; fitzmyer-romans-1993, ad loc. Rom 3:28
\(P_{3}\)Galatians 2:16 teaches that no one is justified by works of the lawtextualReformed Protestant, well supportedGal 2:16; calvin-institutes-1960, §III.xi.19; martyn-galatians-1997, ad loc. Gal 2:16
\(P_{4}\)Romans 4:4–5 contrasts wages owed with a gift reckoned to the one who believestextualReformed Protestant, well supportedRom 4:4-5; calvin-institutes-1960, §III.xi.18
\(P_{5}\)Titus 3:5 teaches that God saved us not by works done in righteousnesstextualReformed Protestant, well supportedTitus 3:5; calvin-institutes-1960, §III.xiv.5
\(P_{6}\)Paul's ἔργα νόμου denotes human works in general, not boundary markerslinguisticReformed Protestant, disputedcalvin-institutes-1960, §III.xi.19; westerholm-perspectives-2003; das-paul-law-covenant-2001; gathercole-where-boasting-2002; carson-variegated-nomism-1-2001; piper-future-justification-2007; Rom 9:11-12; Rom 11:6; Gal 3:10; Gal 5:3; Jas 2:10
\(P_{7}\)πίστις Χριστοῦ in Galatians 2:16 means faith in Christ, not Christ's faithfulnesslinguisticcritical scholarship, disputeddunn-once-more-pistis-christou-1991; matlock-detheologizing-2000; Gal 2:16; Rom 3:22; Phil 3:9
\(P_{8}\)Galatians opposes requiring circumcision, besides faith, for justificationinterpretivecritical scholarship, well supportedGal 2:3-5; Gal 5:2-4; martyn-galatians-1997, ad loc. Gal 5:2; moo-galatians-2013, ad loc. Gal 5:2; Acts 15:1; Acts 15:5; Acts 15:19; bruce-acts-1988, ad loc. Acts 15:1
\(P_{9}\)Acts 15:9–11 — Peter: hearts cleansed by faith; saved through gracetextualChristian, historical-grammatical, well supportedActs 15:9-11; bruce-acts-1988, ad loc. Acts 15:9
\(P_{10}\)The yoke refused at Acts 15:10 is the whole law as a condition of salvationinterpretiveChristian, historical-grammatical, disputedbruce-acts-1988, ad loc. Acts 15:10; Acts 15:10; Gal 5:1; Jas 2:10; das-paul-law-covenant-2001
\(P_{11}\)Acts 15:20–21, 21:20–24: Jewish believers keep the law; gentiles keep partinterpretivecritical scholarship, well supportedActs 15:20-21; Acts 21:20-24; jervell-luke-people-god-1972
\(P_{12}\)Ephesians was written by PaulhistoricalChristian, historical-grammatical, disputedhoehner-ephesians-2002; Eph 1:1
\(P_{13}\)Titus was written by PaulhistoricalChristian, historical-grammatical, disputedmounce-pastoral-epistles-2000; Titus 1:1
\(P_{14}\)1 Peter was written by the apostle PeterhistoricalChristian, historical-grammatical, disputedjobes-1-peter-2005; schreiner-peter-jude-2003; 1 Pet 1:1
\(P_{15}\)2 Peter was written by the apostle PeterhistoricalChristian, historical-grammatical, disputedschreiner-peter-jude-2003; 2 Pet 1:1
\(P_{16}\)δικαιοσύνη θεοῦ names God's deliverance in Christ, not a status faith obtainsinterpretivecritical scholarship, disputedcampbell-deliverance-god-2009; martyn-galatians-1997; Rom 3:21-26
\(P_{17}\)Luke 7:50 — Jesus says ‘your faith has saved you’ after declaring sins forgiventextualChristian, historical-grammatical, consensusLuke 7:50; marshall-luke-1978, ad loc. Luke 7:50
\(P_{18}\)σῴζω in Luke 7:50 denotes salvation, not physical healinglinguisticChristian, historical-grammatical, well supportedkolb-wengert-book-of-concord-2000, §Apology IV, on love and the fulfilling of the law: Luke 7:47–50; padilla-narrative-criticism-2021, pp. 54–55; Luke 7:47-50; marshall-luke-1978, ad loc. Luke 7:50
\(P_{19}\)Luke 7:47 — her love is the evidence of her forgiveness, not its groundinterpretiveChristian, historical-grammatical, plausiblepadilla-narrative-criticism-2021, pp. 54–54; kolb-wengert-book-of-concord-2000, §Apology IV, on love and the fulfilling of the law: Luke 7:47–50; Luke 7:41-43; Luke 7:47; Luke 7:47-50
\(P_{20}\)James 2:14–26 targets a barren faith — mere assent — not Paul's doctrineinterpretiveReformed Protestant, well supportedmoo-james-2000, ad loc. Jas 2:14; johnson-james-1995, ad loc. Jas 2:24; Jas 2:19
\(P_{21}\)Good works are the fruit and evidence of saving faith, not its groundtheologicalReformed Protestant, disputedwestminster-confession-1647, §XI.2; XVI.2; XVI.5; calvin-institutes-1960, §III.xvi.1; Jas 2:18-22; Eph 2:10; Rom 6:22; Luke 17:10
\(P_{22}\)James 2:24 is compatible with Paul, using ‘justify’ in a different senseinterpretiveReformed Protestant, disputedJas 2:24; moo-james-2000, ad loc. Jas 2:24; calvin-institutes-1960, §III.xvii.11
\(P_{23}\)James 2:24 says a person is justified by works and not by faith alonetextualChristian, historical-grammatical, consensusJas 2:24; moo-james-2000, ad loc. Jas 2:24; johnson-james-1995, ad loc. Jas 2:24
\(P_{24}\)Scripture does not contradict itselftheologicalReformed Protestant, well supportedcalvin-institutes-1960, §I.vii; 2 Pet 3:15-16; schreiner-peter-jude-2003, ad loc. 2 Pet 3:16
\(P_{25}\)Justification is by faith alonetheologicalReformed Protestant, well supportedcalvin-institutes-1960, §III.xi.1; schreiner-faith-alone-2015; mannermaa-christ-present-faith-2005; roberts-ante-nicene-fathers-1-1885, §1 Clement 32.4; hilary-commentary-matthew-2013, §8.6; basil-ascetical-works-1999, §Homily 20, Of Humility
\(P_{26}\)Faith is sufficient: whoever believes is savedtheologicalReformed Protestant, disputedLuke 7:50; Acts 15:9-11; schreiner-faith-alone-2015
\(P_{27}\)Salvation is by grace, a gift and not wages owedtheologicalReformed Protestant, well supportedcalvin-institutes-1960, §III.xi–xviii; 1 Pet 1:18-19; jobes-1-peter-2005, ad loc. 1 Pet 1:18
\(P_{28}\)Salvation is not by works: no work is its groundtheologicalReformed Protestant, well supportedcalvin-institutes-1960, §III.xi–xviii; schreiner-faith-alone-2015
\(P_{29}\)Salvation is received through faiththeologicalReformed Protestant, well supportedcalvin-institutes-1960, §III.xi–xviii; 1 Pet 1:3-5; jobes-1-peter-2005, ad loc. 1 Pet 1:5
\(P_{30}\)Justification is forensic only: pardon and imputation, not infusiontheologicalReformed Protestant, well supportedwestminster-confession-1647, §XI.1; calvin-institutes-1960, §III.xi.2; roberts-ante-nicene-fathers-1-1885, §Epistle to Diognetus 9
\(P_{31}\)Second Temple Judaism: in by grace, staying in by workshistoricalcritical scholarship, disputedsanders-paul-palestinian-judaism-1977
\(P_{32}\)Works performed in grace merit an increase of justificationtheologicalRoman Catholic, well supportedtanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 16
\(P_{33}\)Justification is not remission of sins only, but renewal of the inward mantheologicalRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 7; tanner-decrees-1990, §Trent, Session VI (1547), canon 11
\(P_{34}\)Justification and sanctification are inseparable but distincttheologicalReformed Protestant, disputedwestminster-confession-1647, §XIII.1; westminster-confession-1647, §XI.1; calvin-institutes-1960, §III.xi.6
\(P_{35}\)The inward renewal of the justified grows as they do good works in gracetheologicalRoman Catholic, well supportedtanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 10; westminster-confession-1647, §XIII.1
\(P_{36}\)John 6:28–29 — the work God requires is that you believe in him whom he senttextualChristian, historical-grammatical, consensusJohn 6:28-29; calvin-commentary-john-1847, ad loc. John 6:29; aquinas-commentary-john-2012, §cap. 6, lect. 3, n. 901
\(P_{37}\)John 3:16–18, 3:36, 5:24, 20:31 — eternal life through believing in the Son ※textualChristian, historical-grammatical, consensusJohn 3:16-18; John 3:36; John 5:24; John 20:31
\(P_{38}\)The believing of John 6:29 is trust, which brings nothing and receives ChristinterpretiveReformed Protestant, disputedcalvin-commentary-john-1847, ad loc. John 6:29; John 6:28-29
\(P_{39}\)The believing of John 6:29 is faith living through charity, the source of worksinterpretiveRoman Catholic, disputedaquinas-commentary-john-2012, §cap. 6, lect. 3, n. 901; tanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 7
\(P_{40}\)Galatians 3:11–12 — none is justified by the law; the law is not of faithtextualChristian, historical-grammatical, consensusGal 3:11-12; luther-commentary-galatians-1998, ad loc. Gal 3:11
\(P_{41}\)Love of God and neighbour is what the law commandstextualChristian, historical-grammatical, consensusDeut 6:5; Matt 22:37-40; luther-commentary-galatians-1998, ad loc. Gal 3:12
\(P_{42}\)Galatians 1:6–9: whoever preaches a gospel contrary to the one received is accursedtextualChristian, historical-grammatical, consensusGal 1:6-9; moo-galatians-2013, ad loc. Gal 1:6
\(P_{43}\)1 Corinthians 15:3: the gospel of first importance — Christ died for our sins ※textualChristian, historical-grammatical, consensus1 Cor 15:3
\(P_{44}\)Galatians 2:21: if righteousness were through the law, Christ died for no purposetextualChristian, historical-grammatical, consensusGal 2:21; moo-galatians-2013, ad loc. Gal 2:21
\(P_{45}\)Galatians 5:2–4: you who would be justified by the law are severed from ChristtextualChristian, historical-grammatical, consensusGal 5:2-4; moo-galatians-2013, ad loc. Gal 5:2
\(P_{46}\)Romans 8:33–34: it is God who justifies — who is to condemn? ※textualChristian, historical-grammatical, consensusRom 8:33-34
\(P_{47}\)In Paul, δικαιόω is forensic: to declare righteous, not to make virtuouslinguisticChristian, historical-grammatical, well supportedbauer-danker-lexicon-2000, §s.v. δικαιόω; morris-apostolic-preaching-1965; moo-romans-1996, §p. 80; irons-righteousness-of-god-2015; wright-justification-2009; fitzmyer-romans-1993, ad loc. Rom 3:24
\(P_{48}\)Paul names renewal with other words (ἀνακαίνωσις, ἁγιασμός) and sets them beside δικαιόω ※textualChristian, historical-grammatical, consensusTitus 3:5-7; Rom 12:2; Rom 6:19-22; 1 Cor 6:11
\(P_{49}\)A word contributes the least meaning its context requires; one occurrence does not carry the whole conceptlinguisticChristian, historical-grammatical, well supportedsilva-biblical-words-1994; joos-semantic-axiom-1972; barr-semantics-2004
\(P_{50}\)Paul's δικαιόω itself denotes the renewal of the inward man, not only the verdictlinguisticRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, chs. 7–8; vanlandingham-judgment-justification-2006
\(P_{51}\)When God justifies, he also renews: pardon and renewal are given together, not to be separatedtheologicalChristian, historical-grammatical, well supportedlwf-catholic-joint-declaration-2000, §§22; tanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 7; calvin-institutes-1960, §III.xi.6; gorman-cruciform-god-2009
\(P_{52}\)Augustine glosses "being justified" as "being made righteous", and the Latin West read iustificare sohistoricalChristian, historical-grammatical, consensusnpnf1-05-1887, §On the Spirit and the Letter, ch. 45 (26.45); mcgrath-iustitia-dei-2005; tanner-decrees-1990, §Trent, Session IV (1546), Decree on the Vulgate
\(P_{53}\)Romans 4:6–8: righteousness counted apart from works — sins forgiven, sin not countedtextualChristian, historical-grammatical, consensusRom 4:6-8; moo-romans-1996, ad loc. Rom 4:6
\(P_{54}\)λογίζομαι in Romans 4:3–11 is the language of reckoning: credited to one's accountlinguisticChristian, historical-grammatical, well supportedbauer-danker-lexicon-2000, §s.v. λογίζομαι; moo-romans-1996, ad loc. Rom 4:3
\(P_{55}\)In Romans 4:6–8 Paul glosses righteousness counted apart from works as sin not countedinterpretiveChristian, historical-grammatical, well supportedmoo-romans-1996, ad loc. Rom 4:6; Rom 4:6-8
\(P_{56}\)Christ's death for our sins is the whole ground of justification; to add to it is another gospelinterpretiveReformed Protestant, disputedwestminster-confession-1647, §XI.1; Gal 2:21; moo-galatians-2013, ad loc. Gal 2:21; roberts-ante-nicene-fathers-1-1885, §Epistle to Diognetus 9
\(P_{57}\)Luke 18:9–14 — the tax collector pleads for mercy and goes home justified, rather than the Pharisee who listed his workstextualChristian, historical-grammatical, consensusLuke 18:9-14; calvin-harmony-evangelists-2-1845, pp. 201–207
\(P_{58}\)δεδικαιωμένος at Luke 18:14 is God's verdict: accepted as righteous before GodlinguisticChristian, historical-grammatical, well supportedcalvin-harmony-evangelists-2-1845, pp. 206–207; Luke 18:14
\(P_{59}\)The tax collector brings no works that merit, only a humble and contrite plea for mercyinterpretiveChristian, historical-grammatical, consensusLuke 18:9-14; calvin-harmony-evangelists-2-1845, pp. 206–207; waterworth-trent-1848, p. 36
\(P_{60}\)Matthew 7:21–23 — the criterion at the judgment is doing the Father's will, not profession or mighty workstextualChristian, historical-grammatical, well supportedMatt 7:21-23; calvin-harmony-evangelists-1845, pp. 367–368; catholic-church-catechism-2000, §2826
\(P_{61}\)In Matthew 7:21–23, doing the Father's will is a condition of entering the kingdom in its own right, not only the fruit of faithinterpretiveRoman Catholic, disputedcatholic-church-catechism-2000, §2826; catholic-church-catechism-2000, §1821
\(P_{62}\)In Matthew 7:21–23, doing the Father's will includes believing in Christ, and "I never knew you" means no union with him by faithinterpretiveReformed Protestant, disputedcalvin-harmony-evangelists-1845, pp. 367–368
\(P_{63}\)Matthew 19:17 — "If you would enter life, keep the commandments"textualChristian, historical-grammatical, consensusMatt 19:16-22; waterworth-trent-1848, p. 35
\(P_{64}\)In Matthew 19:17, keeping the commandments is the way to life, made possible by graceinterpretiveRoman Catholic, disputedjohn-paul-ii-veritatis-splendor-1993, §12; catholic-church-catechism-2000, §2052–2053; waterworth-trent-1848, p. 35
\(P_{65}\)In Matthew 19:17, Christ answers on the law's own terms, so that the young man may see he has not kept it and turn to faithinterpretiveReformed Protestant, disputedcalvin-harmony-evangelists-2-1845, pp. 393–394
\(P_{66}\)Water baptism is the instrumental cause of justificationtheologicalRoman Catholic, disputedwaterworth-trent-1848, pp. 34–35; westminster-confession-1647, §XI.2
\(P_{67}\)The washing itself is necessary for salvation, though desire may justifytheologicalRoman Catholic, disputedfeeney-bread-of-life-1952
\(P_{68}\)Justification cannot be effected without the laver of regeneration, or the desire thereoftextualRoman Catholic, consensuswaterworth-trent-1848, p. 32; aquinas-summa-1920, §III q.68 a.2
\(P_{69}\)The desire for baptism brings about its fruits without being a sacramenttheologicalRoman Catholic, consensuscatholic-church-catechism-2000, §1258; aquinas-summa-1920, §III q.69 a.4 ad 2
\(P_{70}\)Luke 23:43 — the thief, unbaptised, is promised paradisetextualChristian, historical-grammatical, consensusLuke 23:43; npnf1-04-1887, §On Baptism IV.23.31
\(P_{71}\)The thief's case bears on salvation under the GospelinterpretiveChristian, historical-grammatical, well supportednpnf1-04-1887, §On Baptism IV.22.30–23.31; aquinas-summa-1920, §III q.66 a.11
\(P_{72}\)Acts 8:14–17 — the Samaritans, baptized, receive the Spirit afterwardstextualChristian, historical-grammatical, consensusActs 8:14-17; calvin-commentary-acts-1844, pp. 338–339
\(P_{73}\)Acts 10:44–48 — the Spirit falls on Cornelius's household before baptismtextualChristian, historical-grammatical, consensusActs 10:44-48; calvin-commentary-acts-1844, pp. 453–454
\(P_{74}\)God is not bound to water baptism: he gives the Spirit before it and after ittheologicalChristian, historical-grammatical, consensuscatholic-church-catechism-2000, §1257; calvin-commentary-acts-1844, p. 454; aquinas-summa-1920, §III q.69 a.4 ad 2
\(P_{75}\)John 3:5 — unless one is born of water and the Spirit, he cannot enter the kingdomtextualChristian, historical-grammatical, consensusJohn 3:5; oliver-water-john-2022
\(P_{76}\)John 3:5 requires water baptism for entry into the kingdominterpretiveRoman Catholic, disputedwaterworth-trent-1848, p. 56; catholic-church-catechism-2000, §1257
\(P_{77}\)The water of John 3:5 is baptismal waterinterpretiveRoman Catholic, disputedwaterworth-trent-1848, p. 56; calvin-commentary-john-1847, p. 110
\(P_{78}\)The water of John 3:5 is natural birthinterpretivecritical scholarship, disputedoliver-water-john-2022
\(P_{79}\)The water of John 3:5 is the cleansing promised in Ezekiel 36:25–27, not baptisminterpretiveChristian, historical-grammatical, disputedcarson-born-of-water-2019; oliver-water-john-2022
\(P_{80}\)The water of John 3:5 is the Spirit's own cleansing: water and Spirit are oneinterpretiveReformed Protestant, disputedcalvin-commentary-john-1847, pp. 110–111; calvin-institutes-1960, §IV.xvi.25
\(P_{81}\)James 2:14–26: faith without works cannot save, and is dead (2:17, 2:26)textualChristian, historical-grammatical, consensusJas 2:14-26; moo-james-2000, ad loc. Jas 2:14; johnson-james-1995, ad loc. Jas 2:14
\(P_{82}\)James 2:21–25: Abraham justified by works at Genesis 22, fulfilling Genesis 15:6; Rahab justified by works ※textualChristian, historical-grammatical, consensusJas 2:21-25; Gen 15:6; Gen 22:9-12
\(P_{83}\)Outside Paul, δικαιόω declares, acquits or vindicates, and does not denote making righteouslinguisticChristian, historical-grammatical, well supportedbauer-danker-lexicon-2000, §s.v. δικαιόω; Deut 25:1; Matt 11:19; Luke 7:35
\(P_{84}\)James's δικαιόω denotes the increase of the justice receivedlinguisticRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), ch. 10
\(P_{85}\)The faith alone that James 2:24 denies justifies is the dead faith of 2:14–26interpretiveChristian, historical-grammatical, well supportedJas 2:14-26; tanner-decrees-1990, §Trent, Session VI (1547), ch. 7; moo-james-2000, ad loc. Jas 2:24
\(P_{86}\)The faith the Reformers say alone justifies is no dead faith, but works by lovehistoricalReformed Protestant, consensuswestminster-confession-1647, §XI.2; calvin-institutes-1960, §III.xvi.1
\(P_{87}\)The faith James 2:24 denies justifies is not the faith of the Reformers' formulainterpretiveChristian, historical-grammatical, well supportedmoo-james-2000, ad loc. Jas 2:24
\(P_{88}\)Scripture teaches an increase of justification by good workstheologicalRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), ch. 10
\(P_{89}\)Good works are a cause of the increase of justification, not merely its fruitstheologicalRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), canon 24
\(P_{90}\)Revelation 22:11 says: he that is just, let him be justified stilltextualRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), ch. 10
\(P_{91}\)The Greek of Revelation 22:11 says: let the righteous still do righteousnesstextualChristian, historical-grammatical, consensusholmes-sblgnt-2010, app. Rev 22:11; usccb-nabre-2011, §Revelation 22:11
\(P_{92}\)Sirach 18:22 says: be not afraid to be justified even to deathtextualRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), ch. 10
\(P_{93}\)The Greek of Sirach 18:22 is about paying a vow before death, not growth in justicetextualChristian, historical-grammatical, well supportedusccb-nabre-2011, §Sirach 18:22
\(P_{94}\)The original text, written by the inspired author, outweighs any translation: a reading it lacks is not his wordlinguisticChristian, historical-grammatical, consensuspius-divino-afflante-spiritu-1943, §§16; westminster-confession-1647, §I.8
\(P_{95}\)The Vulgate, as the Church understands it, is free from error in faith and morals: its authenticity is juridicaltheologicalRoman Catholic, disputedpius-divino-afflante-spiritu-1943, §§21; tanner-decrees-1990, §Trent, Session IV (1546)
\(P_{96}\)Trent quotes the Vulgate's Revelation 22:11 and Sirach 18:22 as juridically authentic, not as the inspired authors' wordsinterpretiveRoman Catholic, disputedpius-divino-afflante-spiritu-1943, §§§20–21
\(P_{97}\)A doctrine taught from the Vulgate is to be confirmed from the original textstheologicalRoman Catholic, well supportedpius-divino-afflante-spiritu-1943, §§22; westminster-confession-1647, §I.8
\(P_{98}\)Revelation 22:11 and Sirach 18:22 confirm the increase of justification from the original textstextualRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), ch. 10
\(P_{99}\)Ephesians 2:10: created in Christ Jesus for good works, after 'not a result of works'textualChristian, historical-grammatical, consensusEph 2:8-10; westminster-confession-1647, §XVI.2
\(P_{100}\)James 2:18, 22: I will show you my faith by my works; faith completed by workstextualChristian, historical-grammatical, consensusJas 2:18-22; westminster-confession-1647, §XVI.2
\(P_{101}\)Romans 6:22: the fruit you get leads to sanctification, and its end is eternal lifetextualChristian, historical-grammatical, consensusRom 6:22; westminster-confession-1647, §XVI.2
\(P_{102}\)Luke 17:10: having done all that was commanded, we are unworthy servantstextualChristian, historical-grammatical, consensusLuke 17:10; westminster-confession-1647, §XVI.5
\(P_{103}\)1 Cor 15:58; Heb 6:10; 10:35; 2 Tim 4:8: God rewards the labor of believerstextualChristian, historical-grammatical, consensus1 Cor 15:58; Heb 6:10; Heb 10:35; 2 Tim 4:8; tanner-decrees-1990, §Trent, Session VI (1547), ch. 16; westminster-confession-1647, §XVI.6
\(P_{104}\)James's δικαιόω has the sense Paul's has: the justification of Romans and GalatianslinguisticRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), ch. 10
\(P_{105}\)The reward God renders to the works of the justified is rendered to them as meritstheologicalRoman Catholic, disputedtanner-decrees-1990, §Trent, Session VI (1547), ch. 16; canon 32; dulles-two-languages-1999
\(P_{106}\)1 Peter 2:5: spiritual sacrifices acceptable to God through Jesus ChristtextualChristian, historical-grammatical, consensus1 Pet 2:5; westminster-confession-1647, §XVI.6

※ grounded in scripture alone: the reading is assumed, not argued for.

trentAgainstFaithAlone

Every Reformed strand's step is contested, by Trent. Trent grants what each strand reads — Romans 3:28 and Galatians 2:16, that Jesus' words save, that salvation is through grace — and anathematises the conclusion each draws: justification by faith alone (Session VI, canon 9).

def trentAgainstFaithAlone : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef "Trent, Session VI (1547), canon 9"),
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

trentOnMerit

Trent's own step, from merit to the denial of "not by works". Rated consensus: the step is conceded on both sides — it is why the Reformed deny merit — and the dispute is over its premise, not its inference.

def trentOnMerit : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef
          "Trent, Session VI (1547), Decree on Justification, ch. 16"),
    tradition := Tradition.romanCatholic, confidence := Confidence.consensus }

trentAgainstThePleaAlone

The step from Luke 18 is contested, by Trent applied to it. Trent never cites Luke 18, and grants that nothing before justification, "whether faith or works", merits it (ch. 8). But it requires the dispositions it lists — fear, hope, beginning to love God, penitence (ch. 6) — and anathematises whoever says "nothing else is required to co-operate" (canon 9). Read by those chapters, the tax collector's humility and contrition are dispositions his justification required, not a plea that sufficed alone. So the step from the plea to "faith suffices" is disputed.

def trentAgainstThePleaAlone : Source :=
  { primary := Reference.work waterworthTrent (Bib.Locus.page 45),
    supporting := [Reference.work waterworthTrent (Bib.Locus.pages 33 34)],
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

calvinAgainstObedienceAsGround

The Catholic step from Matthew 7:21 is contested, by Calvin. He grants the text, and that entry requires doing the Father's will, and denies that the doing is more than the fruit of faith: "These words, therefore, do not exclude faith, but presuppose it as the principle from which other good works flow."

def calvinAgainstObedienceAsGround : Source :=
  { primary := Reference.work calvinHarmony1 (Bib.Locus.pages 367 368),
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

catechismAgainstDoingAsBelieving

The Reformed step from Matthew 7:21 is contested, by the Catechism. It grants the text and reads it the other way: "one enters the kingdom of heaven not by speaking words, but by doing 'the will of my Father in heaven'" (§2826).

def catechismAgainstDoingAsBelieving : Source :=
  {
    primary :=
      Reference.work catechismCatholicChurch (Bib.Locus.sectionRef "2826"),
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

calvinAgainstTheCommandmentsAsTheWay

The Catholic step from Matthew 19:17 is contested, by Calvin. He grants the text — "we have no right, therefore, to deny that the keeping of the law is righteousness" — and denies that it is the way to life for any sinner: "this passage was erroneously interpreted by some of the ancients, whom the Papists have followed, as if Christ taught that, by keeping the law, we may merit eternal life." Calvin answers the claim to merit; the reading encoded here claims less — the way made possible by grace — and he denies that too, since for him no sinner keeps the law.

def calvinAgainstTheCommandmentsAsTheWay : Source :=
  { primary := Reference.work calvinHarmony2 (Bib.Locus.page 394),
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

veritatisSplendorAgainstTheLegalReply

The Reformed step from Matthew 19:17 is contested, by John Paul II. He grants the text and reads it as the real path: Jesus "proposes them to us as the way and condition of salvation" (Veritatis Splendor 12).

def veritatisSplendorAgainstTheLegalReply : Source :=
  { primary := Reference.work veritatisSplendor (Bib.Locus.sectionRef "12"),
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

calvinAgainstBaptismInJohnThreeFive

Trent's step from John 3:5 is contested, by Calvin. He grants the verse and denies that it requires water baptism: "I cannot bring myself to believe that Christ speaks of baptism" (on John 3:5, 110).

def calvinAgainstBaptismInJohnThreeFive : Source :=
  { primary := Reference.work calvinJohn (Bib.Locus.page 110),
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

readingsWithoutTheWater

The steps from each non-baptismal reading of John 3:5 are well supported. If the water is natural birth, or Ezekiel's cleansing and not baptism, or the Spirit's own cleansing, the verse does not require water baptism: no reader was found who holds one of these readings and still requires baptism from the verse. Those who require it deny the reading instead (Trent, Session VII, On Baptism, canon 2).

def readingsWithoutTheWater : Source :=
  { primary := Reference.work oliverWaterJohn,
    supporting :=
      [Reference.work Bib.calvinInstitutes (Bib.Locus.sectionRef "IV.xvi.25")],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.wellSupported }

augustineOnTheThief

The step from the thief is well supported. Grant that he was promised paradise unbaptised, and that his case bears on salvation under the Gospel, and the washing itself is not necessary for salvation: "as in the thief, to whom the material administration of the sacrament was necessarily wanting, the salvation was complete" (Augustine, On Baptism IV.23.31), a passage Aquinas quotes with approval (III q.66 a.11). Feeney denies the conclusion; how he answers the thief could not be verified here.

def augustineOnTheThief : Source :=
  {
    primary :=
      Reference.work npnfAugustineManichaeans
        (Bib.Locus.sectionRef "On Baptism IV.23.31"),
    supporting :=
      [Reference.work aquinasSumma (Bib.Locus.sectionRef "III q.66 a.11")],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.wellSupported }

catechismOnDesire

The step from the desire to the salvation it assures is well supported. If the desire for baptism brings about its fruits, the washing itself is not necessary for salvation: the Catechism says it "assures them the salvation that they were not able to receive through the sacrament" (1259). Feeney grants that the desire justifies; he denies that it saves. It is this saving fruit, as the Catechism states it, that he denies — the ground, not the step.

def catechismOnDesire : Source :=
  {
    primary :=
      Reference.work catechismCatholicChurch (Bib.Locus.sectionRef "1259"),
    tradition := Tradition.romanCatholic,
    confidence := Confidence.wellSupported }

westminsterOnTheDesire

The Reformed step from the desire, as Westminster holds it: grace and salvation "are not so inseparably annexed unto it, as that no person can be regenerated, or saved, without it" (XXVIII.5), and faith is "the alone instrument of justification" (XI.2).

def westminsterOnTheDesire : Source :=
  {
    primary :=
      Reference.work westminsterConfession (Bib.Locus.sectionRef "XXVIII.5"),
    supporting :=
      [Reference.work westminsterConfession (Bib.Locus.sectionRef "XI.2")],
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

aquinasOnTheDesire

The Reformed step from the desire is contested, by Aquinas. He grants that Cornelius and others "receive grace and virtues through their faith in Christ and their desire for Baptism", and denies that the sacrament is therefore not the instrument: the desire is for the sacrament, and "when baptized, they receive a yet greater fulness of grace and virtues" (III q.69 a.4 ad 2).

def aquinasOnTheDesire : Source :=
  {
    primary :=
      Reference.work aquinasSumma (Bib.Locus.sectionRef "III q.69 a.4 ad 2"),
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

calvinOnActsTen

Where the Spirit comes before the water, and after it: common ground. Both grant that God is not bound to the water: the Catechism, that God "himself is not bound by his sacraments" (1257). Calvin's own sentence on Acts 10:47 goes further — "the Spirit is not included in baptism" — and that further claim is not what is granted here.

def calvinOnActsTen : Source :=
  { primary := Reference.work calvinActs1 (Bib.Locus.page 454),
    supporting :=
      [Reference.work catechismCatholicChurch (Bib.Locus.sectionRef "1257")],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.consensus }

melanchthonOnLuke7

Where Melanchthon reads Luke 7:47 by 7:50, in the Apology of the Augsburg Confession (1531): the part of Article IV on love and the fulfilling of the law. The Concordia Triglotta numbers it Article III, 31–34; the reference is given by article and topic because paragraph numbers differ between editions.

def melanchthonOnLuke7 : Bib.Locus :=
  Bib.Locus.sectionRef
    "Apology IV, on love and the fulfilling of the law: Luke 7:47–50"

campbellOnDeliverance

The apocalyptic reading's step, from Christ's faithfulness and God's deliverance to the denial that faith is the condition. Rated plausible: no source cited here grants both grounds and affirms faith as the condition of justification.

def campbellOnDeliverance : Source :=
  { primary := Reference.work campbellDeliveranceOfGod,
    supporting := [Reference.work martynGalatians],
    tradition := Tradition.criticalScholarship,
    confidence := Confidence.plausible }

reformedWorksOfLawSource

The Reformed reading of ἔργα νόμου, cited to the tradition that holds it and to its modern defenders against the New Perspective. Disputed precisely because the New Perspective denies it; see newPerspectiveCite.

def reformedWorksOfLawSource : Source

baseCite

Citations shared by every package: the prooftexts and the hermeneutical premises, which none of the three positions disputes the wording of.

def baseCite : Claim → AtomMeta

reformedCite

The Reformed reading of the disputed premise.

def reformedCite : Claim → AtomMeta :=
  fun x =>
    match x with
    | Claim.worksOfLawMeansWorksGenerally =>
      {
        label :=
          "Paul's ἔργα νόμου denotes human works in general, not boundary markers",
        kind := PremiseKind.linguistic,
        source := reformedWorksOfLawSource }
    | c => baseCite c

newPerspectiveCite

The New Perspective's reading of the disputed premise: ἔργα νόμου denotes the covenant boundary markers, so Paul is not addressing human effort in general.

def newPerspectiveCite : Claim → AtomMeta :=
  fun x =>
    match x with
    | Claim.worksOfLawMeansWorksGenerally =>
      {
        label :=
          "Paul's ἔργα νόμου denotes Jewish covenant boundary markers, not works in general",
        kind := PremiseKind.linguistic,
        source :=
          { primary := Reference.work dunnNewPerspective,
            supporting :=
              [Reference.work sandersPaulPalestinianJudaism,
                Reference.work wrightWhatPaulSaid,
                Reference.work wrightJustification],
            tradition := Tradition.criticalScholarship,
            confidence := Confidence.disputed } }
    | c => baseCite c

subjectiveGenitiveCite

Hays's reading of the genitive: πίστις Χριστοῦ is Christ's own faithfulness. Everything else as baseCite.

def subjectiveGenitiveCite : Claim → AtomMeta

lawObservantLukeCite

Jervell's reading of Luke-Acts: what Acts 15 withholds from gentiles is Israel's law as a mark of belonging, and the law is not refused as a means of salvation. Everything else as baseCite.

def lawObservantLukeCite : Claim → AtomMeta

criticalAuthorshipCite

The critical view of authorship: Ephesians and Titus are not by Paul, and 1 and 2 Peter not by Peter. Each atom is cited to a scholar who holds that view of that letter, with Ehrman for the case across all four. Marshall's mediating view of the Pastorals — written by Paul's circle after his death, without intent to deceive — is cited with the critical side, because it too denies that Paul wrote Titus.

def criticalAuthorshipCite : Claim → AtomMeta

criticsCite

The New Perspective's critics: Second Temple Judaism was not uniformly covenantal nomism, because final vindication according to works was widely held. Gathercole primary, the Variegated Nomism volume in support.

def criticsCite : Claim → AtomMeta :=
  fun x =>
    match x with
    | Claim.secondTempleCovenantalNomism =>
      {
        label :=
          "Second Temple Judaism also held final vindication according to works",
        kind := PremiseKind.historical,
        source :=
          { primary := Reference.work gathercoleWhereIsBoasting,
            supporting := [Reference.work carsonVariegatedNomism1],
            tradition := Tradition.reformedProtestant,
            confidence := Confidence.disputed } }
    | c => reformedCite c

tridentineCite

The Tridentine reading of what justification is: "not remission of sins merely, but also the sanctification and renewal of the inward man". Everything else as baseCite.

def tridentineCite : Claim → AtomMeta :=
  fun x =>
    match x with
    | Claim.justificationIsForensicOnly =>
      { label := "Justification is not forensic only: it renews the inward man",
        kind := PremiseKind.theological,
        source :=
          {
            primary :=
              Reference.work tannerDecrees
                (Bib.Locus.sectionRef
                  "Trent, Session VI (1547), Decree on Justification, ch. 7"),
            tradition := Tradition.romanCatholic,
            confidence := Confidence.wellSupported } }
    | c => baseCite c

finnishCite

The Finnish reading of Luther: justification is not forensic only, because Christ himself is present in faith and is the believer's righteousness. Everything else as reformedCite.

def finnishCite : Claim → AtomMeta :=
  fun x =>
    match x with
    | Claim.justificationIsForensicOnly =>
      {
        label :=
          "Justification is not forensic only: Christ is present in faith",
        kind := PremiseKind.theological,
        source :=
          { primary := Reference.work mannermaaChristPresentInFaith,
            tradition := Tradition.criticalScholarship,
            confidence := Confidence.disputed } }
    | c => reformedCite c

apocalypticCite

The apocalyptic reading: the genitive is subjective, and it is Campbell's reason for reading it so that the citation records.

def apocalypticCite : Claim → AtomMeta

TestimonyArguments.SolaFide.Lines — the strands, and what they share

Three strands deliver the conclusion, by different words from different speakers: Paul, Jesus, and Peter at Jerusalem. Each delivers only what its own texts say. Paul's says justification is by faith alone; Jesus' words at Luke 7:50 and Peter's at Jerusalem say that faith suffices, which is weaker, and is all the conclusion's "through faith" needs. A fourth line answers James, and a fifth — the apocalyptic reading — denies what Paul delivers. What every package holds in common is collected here too, so that a variant package is a named difference rather than a retyped list.

Lines of reason

Three strands deliver the conclusion, and a fourth line answers James. They do not all deliver the same thing. Paul argues for alone: the polemic refuses circumcision added to faith, and Galatians 2:16 names faith as the one means (ἐὰν μή, "except through faith"). Luke 7:50 and Acts 15 say that faith saves, and that the woman's love and the law's yoke are not what does; they do not say that nothing else could. So they deliver faithIsSufficient. The difference matters in a dispute, where a case is attacked on what it derives as well as on what it assumes: credit Luke with alone, and a reading that denies faith alone — the apocalyptic reading — attacks Luke's case on a claim Luke never made. The James harmonisation is deliberately not a strand: it does not reach justificationByFaithAlone by an independent route, it supplies a premise the closing step needs. So it contributes its grounds and its step to the case without being one of the lines caseOf treats as converging.

paulineToFaithAlone

The Pauline strand. From Romans and Galatians to justification by faith alone, read from Galatians 2:16 as the centre of the letter's polemic.

Each premise does its own work. Galatians 2:16 excludes works of the law; read as an objective genitive, it also names faith in Christ as the means of justification. The polemic says what is being refused: circumcision added to faith as a requirement. That is where alone comes from. The Galatians already believed, and adding a work to their faith is what Paul says severs them from Christ (5:4). Only the ἔργα νόμου premise lets circumcision stand for works in general rather than for one ethnic marker.

\[ (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \]

dominicalToSufficiency

The dominical strand. From Jesus' own words at Luke 7:50 to the sufficiency of faith, by way of the lexical premise about σῴζω and the reading of 7:47 that answers "she loved much": her love shows her forgiveness and does not earn it, so what Jesus names as saving her is her faith. It says her faith saved her, and no more — not that nothing else could have. Independent of Paul, and of the ἔργα νόμου dispute.

\[ (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \]

apostolicToSufficiency

The apostolic strand. From Peter's speech at the Jerusalem council to the sufficiency of faith, by way of the disputed premise about the yoke.

The council answers the same demand Galatians answers: circumcision and the law of Moses as a condition of salvation (Acts 15:1, 15:5). Peter's reply names faith as what cleansed the gentiles' hearts and grace as how Jew and gentile alike are saved, and refuses the yoke. If the yoke is the whole law as a condition of salvation, the gentiles are saved without it, by faith: faith suffices.

\[ (P_{9} \land P_{10}) \rightarrow P_{26} \]

jamesHarmonisation

The harmonisation of James: because James's target is barren faith, and works are the fruit of saving faith rather than its ground, James 2:24 does not contradict Paul. Derived rather than assumed.

\[ (P_{20} \land P_{21}) \rightarrow P_{22} \]

solaFide

The conclusion, in its three parts: salvation is by grace, not by works, and through faith. Stated as three atoms rather than one so that a position can be shown to hold some parts and deny another — which the apocalyptic reading and the Tridentine position each do, over different parts.

\[ P_{27} \land P_{28} \land P_{29} \]

graceNotWorks

The first two parts: by grace, and not by works. What the apocalyptic reading keeps.

\[ P_{27} \land P_{28} \]

toGrace

By grace, from the texts that say so: a gift through faith (Ephesians 2:8), a gift and not wages (Romans 4:4–5), mercy (Titus 3:5). Neither a strand nor the answer to James is needed for this part.

\[ (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \]

toNotByWorks

Not by works, from the same texts, which say "not of works" in terms — provided James 2:24 is answered, and scripture does not contradict itself. No strand is needed for this part either; what it needs, and grace does not, is an answer to James.

\[ (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \]

faithAloneSuffices

Faith alone is at least faith sufficient: if nothing but faith is the condition, faith is enough. How Paul's strand, which argues the stronger claim, reaches the part of the conclusion the others reach directly.

\[ P_{25} \rightarrow P_{26} \]

toThroughFaith

Through faith, from the sufficiency of faith and Ephesians 2:8 (διὰ πίστεως: faith as the means). This is the only part of the conclusion the three strands are needed for, and it needs only what each of them says.

\[ (P_{26} \land P_{1}) \rightarrow P_{29} \]

paulineLine — Pauline strand (ἔργα νόμου, πίστις Χριστοῦ)

The Pauline line. Its grounds are the reading of Galatians as a polemic and the two disputed lexical premises, about ἔργα νόμου and about πίστις Χριστοῦ. The prooftexts its step reads are shared with every other package, which is exactly why denying a lexical premise does not cost the argument its prooftexts.

The genitive dispute is a premise inside this strand, not a third strand. Every πίστις Χριστοῦ text sets it against νόμος, so a route through the genitive still passes through what ἔργα νόμου denotes. A line on the genitive whose grounds omitted the ἔργα νόμου premise would misdescribe Paul.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{7} \\ \text{(4)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\[4pt] \vdash \quad & P_{25} \end{aligned} \]

dominicalLine — Dominical strand (σῴζω at Luke 7:50)

The dominical line, resting on Jesus' words rather than Paul's. Its distinctive grounds are the other lexical premise, and the reading of 7:47 that keeps the woman's love from being the ground of her forgiveness.

\[ \begin{aligned} \text{(1)} \quad & P_{18} \\ \text{(2)} \quad & P_{19} \\ \text{(3)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\[4pt] \vdash \quad & P_{26} \end{aligned} \]

apostolicLine — Apostolic strand (Acts 15:7–11)

The apostolic line, resting on Peter as Luke reports him rather than on Paul or on Jesus. Its distinctive ground is the premise about the yoke.

It is logically independent of the Pauline strand: no premise is shared. It is not dialectically independent. A reader who takes ἔργα νόμου as Israel's boundary markers will read Peter's yoke the same way, as Jervell does, so the two premises tend to be won or lost together. What the encoding shows is that they are two premises about two texts, and an opponent has to answer both.

\[ \begin{aligned} \text{(1)} \quad & P_{10} \\ \text{(2)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\[4pt] \vdash \quad & P_{26} \end{aligned} \]

jamesLine — Harmonisation of James 2:24

The James line: not a route to the conclusion but the answer to the one text that stands against it.

\[ \begin{aligned} \text{(1)} \quad & P_{20} \\ \text{(2)} \quad & P_{21} \\ \text{(3)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\[4pt] \vdash \quad & P_{22} \end{aligned} \]

deliveranceNotFaithAlone

The apocalyptic reading (Martyn, Campbell). If πίστις Χριστοῦ is Christ's own faithfulness, and δικαιοσύνη θεοῦ is God's act of deliverance, then faith is not the condition on which justification is granted. So justification by faith alone, in the sense the Reformed and New Perspective packages share, is denied. Grace and "not by works" are not denied: the reading rejects the condition, not the gift.

\[ (\lnot P_{7} \land P_{16}) \rightarrow \lnot P_{25} \]

deliveranceIsGrace

What the apocalyptic reading keeps. If δικαιοσύνη θεοῦ is God's act of deliverance, it is sheer gift, conditioned on nothing a person does: by grace, and not by works. Campbell's inference, and his reason for calling the reading more gracious than the one it replaces.

\[ P_{16} \rightarrow P_{27} \land P_{28} \]

apocalypticLine — Apocalyptic reading (δικαιοσύνη θεοῦ as deliverance)

The apocalyptic line: a rival route from Paul, delivering the denial of what the Pauline strand delivers.

\[ \begin{aligned} \text{(1)} \quad & \lnot P_{7} \\ \text{(2)} \quad & P_{16} \\ \text{(3)} \quad & (\lnot P_{7} \land P_{16}) \rightarrow \lnot P_{25} \\[4pt] \vdash \quad & \lnot P_{25} \end{aligned} \]

sandersLine — Covenantal nomism (Sanders, Dunn)

The New Perspective's reason for its reading of ἔργα νόμου. If Second Temple Judaism was covenantal nomism — in by grace, staying in by works — then Paul's opponents were not seeking to earn salvation, and what he refuses is not works as such but the marks that kept gentiles out: the boundary markers. The ground is Sanders'; the inference is Dunn's, and is cited as his.

\[ \begin{aligned} \text{(1)} \quad & P_{31} \\ \text{(2)} \quad & P_{31} \rightarrow \lnot P_{6} \\[4pt] \vdash \quad & \lnot P_{6} \end{aligned} \]

criticsLine — Variegated nomism (Gathercole, Carson et al.)

The critics' reply. If Second Temple Judaism also held final vindication according to works, then the demand Galatians refuses — circumcision added to faith as a requirement — is a demand for obedience, and what Paul refuses in refusing it is works as such. So the Reformed reading of ἔργα νόμου is not assumed but derived: from the reading of Galatians as a polemic, and from a historical claim about Judaism that is argued on the evidence.

\[ \begin{aligned} \text{(1)} \quad & \lnot P_{31} \\ \text{(2)} \quad & P_{8} \\ \text{(3)} \quad & (\lnot P_{31} \land P_{8}) \rightarrow P_{6} \\[4pt] \vdash \quad & P_{6} \end{aligned} \]

jervellLine — Law-observant Luke (Jervell)

Jervell's reading of the yoke. If Luke presents the Jewish believers as keeping the law (Acts 21:20–24), and the decree as laying part of it on gentiles (Acts 15:20–21), then what Peter refuses at 15:10 is not the law as a condition of salvation but the whole of Israel's law laid on gentiles. The step is contested: Bruce grants both texts and reads the yoke as the law taken as a condition of salvation.

\[ \begin{aligned} \text{(1)} \quad & P_{11} \\ \text{(2)} \quad & P_{11} \rightarrow \lnot P_{10} \\[4pt] \vdash \quad & \lnot P_{10} \end{aligned} \]

trentOnIncrease

Trent's step from its definition to merit: if justification is the renewal of the inward man, and that renewal grows through good works, then good works increase justification (Session VI, ch. 10 and canon 24). Rated consensus, as trentOnMerit is: the Reformed deny the definition, not the inference, and canon 24 condemns the Reformed alternative by name — that works are "merely the fruits and signs of Justification obtained".

def trentOnIncrease : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef "Trent, Session VI (1547), canon 24"),
    supporting :=
      [Reference.work tannerDecrees
          (Bib.Locus.sectionRef
            "Trent, Session VI (1547), Decree on Justification, ch. 10")],
    tradition := Tradition.romanCatholic, confidence := Confidence.consensus }

tridentineLine — Trent (justification as renewal)

Trent's line. From its definition of justification — the renewal of the inward man, not remission of sins only — and the growth of that renewal through good works, to merit: good works increase justification (Session VI, ch. 10, canon 24). The Reformed grant the growth and deny the definition, so the step carries the objection only as far as the definition does.

\[ \begin{aligned} \text{(1)} \quad & P_{33} \\ \text{(2)} \quad & P_{35} \\ \text{(3)} \quad & (P_{33} \land P_{35}) \rightarrow P_{32} \\[4pt] \vdash \quad & P_{32} \end{aligned} \]

trentDefinitionSteps

What Trent's definition rules out: justification as forensic only (canon 11); justification as distinct from the sanctification that follows it; and faith as sufficient. If justification is the renewal of the inward man by infused charity, then faith "unless hope and charity be added thereto" does not unite a person perfectly with Christ (ch. 7), and whoever says that "nothing else is required to cooperate" is anathema (canon 9). Trent's denial of sufficiency is not a separate thesis: it follows from what Trent says justification is.

\[ \begin{aligned} \text{(1)} \quad & P_{33} \rightarrow \lnot P_{30} \\ \text{(2)} \quad & P_{33} \rightarrow \lnot P_{34} \\ \text{(3)} \quad & P_{33} \rightarrow \lnot P_{26} \end{aligned} \]

prooftexts

The prooftexts the strands read. Shared by every Reformed package, and by the New Perspective.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{2} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{4} \\ \text{(5)} \quad & P_{5} \\ \text{(6)} \quad & P_{17} \\ \text{(7)} \quad & P_{9} \end{aligned} \]

sharedGrounds

Everything the strands share: the prooftexts, the grounds of the James harmonisation, and scripture's self-consistency.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{2} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{4} \\ \text{(5)} \quad & P_{5} \\ \text{(6)} \quad & P_{17} \\ \text{(7)} \quad & P_{9} \\ \text{(8)} \quad & P_{20} \\ \text{(9)} \quad & P_{21} \\ \text{(10)} \quad & P_{24} \end{aligned} \]

sharedGroundsWithoutJames

The same, with James unanswered.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{2} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{4} \\ \text{(5)} \quad & P_{5} \\ \text{(6)} \quad & P_{17} \\ \text{(7)} \quad & P_{9} \\ \text{(8)} \quad & P_{24} \end{aligned} \]

conclusionSteps

The steps to the three parts of the conclusion, one each, and the step by which faith alone gives faith sufficient.

\[ \begin{aligned} \text{(1)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(2)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(3)} \quad & P_{25} \rightarrow P_{26} \\ \text{(4)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \end{aligned} \]

closingSteps

The steps that close the argument: the James harmonisation, then the steps to the parts of the conclusion.

\[ \begin{aligned} \text{(1)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(2)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(3)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(4)} \quad & P_{25} \rightarrow P_{26} \\ \text{(5)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \end{aligned} \]

Paul's gospel, against justification as renewal

Galatians is a letter about another gospel. The Teachers did not deny Christ; they added circumcision to him, and Paul calls that addition a different gospel and its preachers accursed (1:6–9). What he sets against it is what he received: Christ died for our sins (1 Corinthians 15:3); if righteousness came by the law, Christ died for nothing (Galatians 2:21); whoever would be justified by the law is severed from Christ (5:2–4).

This line reads those texts as one claim — Christ's work is the whole ground of justification — and carries it, with the forensic sense of Paul's verb, to the denial of Trent's definition: if justification is God's verdict on the ground of a finished work, the renewal wrought in us is no part of it.

galatianGospelReadingSource

Paul's reading of the gospel in Galatians: Christ's death is the whole ground, and adding a ground is another gospel. Cited to Moo on Galatians and to the Westminster Confession, and rated disputed: Trent grants every text and that Christ's passion merited justification (ch. 7), and denies that nothing is added (canons 24, 32).

def galatianGospelReadingSource : Source :=
  {
    primary :=
      Reference.work mooGalatians
        (Bib.Locus.adLoc { book := Book.galatians, chapter := 1, verse := 6 }),
    supporting :=
      [Reference.work westminsterConfession (Bib.Locus.sectionRef "XI.1")],
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

verdictNotRenewalSource

The step from a verdict on a finished work to "renewal is no part of justification": Westminster XI.1, God justifies "not by infusing righteousness into them, but by pardoning their sins, and by accounting and accepting their persons as righteous; not for anything wrought in them". Rated disputed, and the source that makes it so is Rome's own: the Joint Declaration (§22) grants the ground — God "no longer imputes to them their sin" — and denies the step: forgiveness and the love the Spirit effects "are not to be separated". Among New Testament scholars, Gorman takes the same side: the verdict is an effective word that transforms.

def verdictNotRenewalSource : Source :=
  {
    primary :=
      Reference.work westminsterConfession (Bib.Locus.sectionRef "XI.1"),
    supporting :=
      [Reference.work Bib.calvinInstitutes (Bib.Locus.sectionRef "III.xi.2"),
        Reference.work morrisApostolicPreaching],
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

galatianGospelLine — Paul's gospel (Galatians 1:6–9; 2:21; 5:2–4; 1 Corinthians 15:3)

Paul's gospel, as Galatians states it and 1 Corinthians summarises it.

\[ \begin{aligned} \text{(1)} \quad & P_{42} \\ \text{(2)} \quad & P_{43} \\ \text{(3)} \quad & P_{44} \\ \text{(4)} \quad & P_{45} \\ \text{(5)} \quad & (P_{42} \land P_{43} \land P_{44} \land P_{45}) \rightarrow P_{56} \\[4pt] \vdash \quad & P_{56} \end{aligned} \]

verdictExcludesRenewal

The step where Trent parts from Paul. If justification is God's verdict — δικαιόω is forensic, the opposite of condemning (Romans 8:33–34) — and its ground is Christ's finished work alone, then the renewal of the inward man is no part of it.

\[ (P_{56} \land P_{47} \land P_{46}) \rightarrow \lnot P_{33} \]

What Paul's word means

Trent's definition can be read as a claim about Paul's word — that δικαιόω, in Paul, denotes the renewal of the inward man — and this line answers it on lexical ground alone. δικαιόω is forensic: its opposite is condemn. Paul has other words for renewal, and sets them beside it. And a word contributes the least meaning its context requires: nothing in a verdict's context requires a second, inward sense, and to supply one from the doctrine is what Barr called illegitimate totality transfer. So Paul's δικαιόω does not denote renewal.

The line says nothing about what God does when he justifies. That is the other reading of Trent's definition, and this line does not reach it (TestimonyArguments.SolaFide.Definition).

leastMeaningSource

The step from the forensic sense, Paul's own vocabulary for renewal, and the rule of least meaning to "δικαιόω does not denote renewal". Silva's method, applied as Moo applies it to Romans. Rated wellSupported: no source cited here grants the three grounds and denies the conclusion. Those who hold that δικαιόω means "make righteous" — VanLandingham, and the Latin tradition from Augustine — deny the forensic sense itself, and are weighed in that premise's rating; those who hold that God's verdict renews — Gorman, the Joint Declaration — make a claim about what God does, not about the word.

def leastMeaningSource : Source :=
  { primary := Reference.work silvaBiblicalWords,
    supporting :=
      [Reference.work mooRomans (Bib.Locus.sectionRef "p. 80"),
        Reference.work barrSemantics],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.wellSupported }

lexicalLine — Paul's word (δικαιόω, by the rule of least meaning)

Paul's word, read by the rule of least meaning.

\[ \begin{aligned} \text{(1)} \quad & P_{47} \\ \text{(2)} \quad & P_{48} \\ \text{(3)} \quad & P_{49} \\ \text{(4)} \quad & (P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50} \\[4pt] \vdash \quad & \lnot P_{50} \end{aligned} \]

Romans 4: the ungodly, justified

An exegetical case, in two steps. The first is about Paul's argument: God "justifies the ungodly" (4:5), and what he counts to them is described in the psalm Paul quotes — lawless deeds forgiven, sin not counted (4:6–8). λογίζομαι is the language of reckoning, set against wages owed (4:4). So, in Paul's own argument, the righteousness counted to the ungodly is sin not counted. No source cited here grants the texts and the sense of the verb and denies that gloss.

The second step is where the exegesis is put to work, and it goes two ways.

  • Against a claim about Paul's word. With the rule of least meaning, the verb Paul glosses so does not also denote the renewal of the inward man. Rated wellSupported, as the lexical case is.
  • Against a claim about what God does. That what is counted is sin not counted, and that the verdict is forensic, excludes renewal from justification. Augustine grants every word of Romans 4 and reads the verse the other way — God "justifies the ungodly man, that he may become a godly one" (On the Spirit and the Letter 26.45) — and Trent makes the justice "whereby He maketh us just" justification's formal cause (ch. 7). So that step is disputed, as the step from Galatians is.

romansFourExegesisSource

The exegesis of Romans 4:3–8: reckoning language, set against wages, and the psalm's gloss on what is counted. Cited to Moo on Romans, and rated wellSupported: Augustine and Trent grant the texts and dispute what follows from them, not what Paul says the counting is.

def romansFourExegesisSource : Source :=
  {
    primary :=
      Reference.work mooRomans
        (Bib.Locus.adLoc { book := Book.romans, chapter := 4, verse := 6 }),
    supporting := [Reference.work bdag (Bib.Locus.sectionRef "s.v. λογίζομαι")],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.wellSupported }

romansFourReadingSource

The step from Paul's gloss, with the forensic sense of the verb, to "renewal is no part of justification". Cited to Moo on Romans 4:5 and Westminster XI.1, and rated disputed: Augustine grants the texts and reads "justifies the ungodly" as making the ungodly godly, and Trent's chapter 7 makes the justice "whereby He maketh us just" justification's formal cause.

def romansFourReadingSource : Source :=
  {
    primary :=
      Reference.work mooRomans
        (Bib.Locus.adLoc { book := Book.romans, chapter := 4, verse := 5 }),
    supporting :=
      [Reference.work westminsterConfession (Bib.Locus.sectionRef "XI.1")],
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

romansFourExegesisLine — Romans 4:3–8 (the ungodly, justified)

Romans 4:3–8, read: God justifies the ungodly, and the righteousness he counts to them is, in Paul's own gloss, sin not counted.

\[ \begin{aligned} \text{(1)} \quad & P_{4} \\ \text{(2)} \quad & P_{53} \\ \text{(3)} \quad & P_{54} \\ \text{(4)} \quad & (P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55} \\[4pt] \vdash \quad & P_{55} \end{aligned} \]

glossByLeastMeaning

From Paul's gloss, by the rule of least meaning: the verb he glosses so does not also denote renewal.

\[ (P_{55} \land P_{49}) \rightarrow \lnot P_{50} \]

countedExcludesRenewal

From Paul's gloss, with the forensic sense of the verb: renewal is no part of justification. The step Augustine denies.

\[ (P_{55} \land P_{47}) \rightarrow \lnot P_{33} \]

TestimonyArguments.SolaFide.Packages — the positions, and the variants

The positions — Reformed, New Perspective, subjective genitive, law-observant Luke, Finnish, critical authorship, apocalyptic, Tridentine — and reduced Reformed packages, each missing a named premise. Whether a premise is load-bearing is shown by removing it and then either establishing the conclusion anyway or naming a countermodel.

Packages

reformed — Reformed (sola fide)

The classical Protestant position: all three strands, and every disputed premise they rest on — ἔργα νόμου and πίστις Χριστοῦ in Paul, σῴζω in Luke, the yoke in Acts.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{7} \\ \text{(4)} \quad & P_{18} \\ \text{(5)} \quad & P_{19} \\ \text{(6)} \quad & P_{10} \\ \text{(7)} \quad & P_{1} \\ \text{(8)} \quad & P_{2} \\ \text{(9)} \quad & P_{3} \\ \text{(10)} \quad & P_{4} \\ \text{(11)} \quad & P_{5} \\ \text{(12)} \quad & P_{17} \\ \text{(13)} \quad & P_{9} \\ \text{(14)} \quad & P_{20} \\ \text{(15)} \quad & P_{21} \\ \text{(16)} \quad & P_{24} \\ \text{(17)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(18)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(19)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(20)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(21)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(22)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(23)} \quad & P_{25} \rightarrow P_{26} \\ \text{(24)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

dominicalWithoutSozo — Dominical strand (σῴζω at Luke 7:50)

The dominical line without the σῴζω premise. The reading of 7:47 stays: it is not the premise being tested.

\[ \begin{aligned} \text{(1)} \quad & P_{19} \\ \text{(2)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\[4pt] \vdash \quad & P_{26} \end{aligned} \]

paulineWithoutWorksOfLaw — Pauline strand (ἔργα νόμου, πίστις Χριστοῦ)

The Pauline line without the ἔργα νόμου premise.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{7} \\ \text{(3)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\[4pt] \vdash \quad & P_{25} \end{aligned} \]

paulineWithoutPistisChristou — Pauline strand (ἔργα νόμου, πίστις Χριστοῦ)

The Pauline line without the objective genitive.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\[4pt] \vdash \quad & P_{25} \end{aligned} \]

newPerspective — New Perspective on Paul

The New Perspective on Paul: it denies the traditional reading of ἔργα νόμου while accepting justification by faith, which is what Dunn and Wright actually hold. It keeps the objective genitive, as Dunn does, so the one Pauline ground it denies is the ἔργα νόμου premise.

The denial is not assumed: sandersLine derives it from covenantal nomism, so the package rests on Sanders' account of Judaism and Dunn's inference from it, which is where its critics engage it.

It takes no position on the yoke of Acts 15:10: the apostolic line keeps its step and loses its ground, so the package neither grants nor denies the premise on the New Perspective's behalf.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{7} \\ \text{(3)} \quad & P_{31} \\ \text{(4)} \quad & P_{18} \\ \text{(5)} \quad & P_{19} \\ \text{(6)} \quad & P_{1} \\ \text{(7)} \quad & P_{2} \\ \text{(8)} \quad & P_{3} \\ \text{(9)} \quad & P_{4} \\ \text{(10)} \quad & P_{5} \\ \text{(11)} \quad & P_{17} \\ \text{(12)} \quad & P_{9} \\ \text{(13)} \quad & P_{20} \\ \text{(14)} \quad & P_{21} \\ \text{(15)} \quad & P_{24} \\ \text{(16)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(17)} \quad & P_{31} \rightarrow \lnot P_{6} \\ \text{(18)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(19)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(20)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(21)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(22)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(23)} \quad & P_{25} \rightarrow P_{26} \\ \text{(24)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

finnish — Finnish reading of Luther (Mannermaa)

The Finnish reading of Luther (Mannermaa): the Reformed case, with the forensic account of justification denied. Christ himself is present in faith and is the believer's righteousness, so justification is not a declaration only.

On what justification is, this sides with Trent against the Reformed account; on sola fide it sides with the Reformed. The encoding shows both, and shows that the two questions are independent.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{7} \\ \text{(4)} \quad & P_{18} \\ \text{(5)} \quad & P_{19} \\ \text{(6)} \quad & P_{10} \\ \text{(7)} \quad & P_{1} \\ \text{(8)} \quad & P_{2} \\ \text{(9)} \quad & P_{3} \\ \text{(10)} \quad & P_{4} \\ \text{(11)} \quad & P_{5} \\ \text{(12)} \quad & P_{17} \\ \text{(13)} \quad & P_{9} \\ \text{(14)} \quad & P_{20} \\ \text{(15)} \quad & P_{21} \\ \text{(16)} \quad & P_{24} \\ \text{(17)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(18)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(19)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(20)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(21)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(22)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(23)} \quad & P_{25} \rightarrow P_{26} \\ \text{(24)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\ \text{(25)} \quad & \lnot P_{30} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

subjectiveGenitive — Subjective genitive (πίστις Χριστοῦ as Christ's faithfulness)

The subjective genitive (Hays): πίστις Χριστοῦ in Galatians 2:16 is Christ's own faithfulness, so the verse does not name the believer's faith as the means of justification. Everything else in the Reformed case is granted.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & \lnot P_{7} \\ \text{(4)} \quad & P_{18} \\ \text{(5)} \quad & P_{19} \\ \text{(6)} \quad & P_{10} \\ \text{(7)} \quad & P_{1} \\ \text{(8)} \quad & P_{2} \\ \text{(9)} \quad & P_{3} \\ \text{(10)} \quad & P_{4} \\ \text{(11)} \quad & P_{5} \\ \text{(12)} \quad & P_{17} \\ \text{(13)} \quad & P_{9} \\ \text{(14)} \quad & P_{20} \\ \text{(15)} \quad & P_{21} \\ \text{(16)} \quad & P_{24} \\ \text{(17)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(18)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(19)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(20)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(21)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(22)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(23)} \quad & P_{25} \rightarrow P_{26} \\ \text{(24)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

lawObservantLuke — Law-observant Luke (the yoke as Israel's law for gentiles)

Luke as law-observant (Jervell): the yoke Acts 15:10 refuses is Israel's law laid on gentiles as a mark of belonging, not the law as a condition of salvation. Everything else in the Reformed case is granted. The rival the apostolic strand was written against.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{7} \\ \text{(4)} \quad & P_{18} \\ \text{(5)} \quad & P_{19} \\ \text{(6)} \quad & \lnot P_{10} \\ \text{(7)} \quad & P_{1} \\ \text{(8)} \quad & P_{2} \\ \text{(9)} \quad & P_{3} \\ \text{(10)} \quad & P_{4} \\ \text{(11)} \quad & P_{5} \\ \text{(12)} \quad & P_{17} \\ \text{(13)} \quad & P_{9} \\ \text{(14)} \quad & P_{20} \\ \text{(15)} \quad & P_{21} \\ \text{(16)} \quad & P_{24} \\ \text{(17)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(18)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(19)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(20)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(21)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(22)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(23)} \quad & P_{25} \rightarrow P_{26} \\ \text{(24)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

criticalAuthorship — Reformed, with the critical view of authorship

The Reformed case granted every critical conclusion about authorship: Ephesians and Titus not by Paul, 1 and 2 Peter not by Peter.

Nothing else changes, and that is the point. The case reads these letters as canonical scripture, bound together by scriptureSelfConsistent, not as the testimony of a named apostle. So conceding their authorship costs the argument nothing — while it would cost an argument that cited Ephesians 2:9 as evidence of what Paul meant by "works", which is why worksOfLawMeansWorksGenerally leans on Romans instead.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{7} \\ \text{(4)} \quad & P_{18} \\ \text{(5)} \quad & P_{19} \\ \text{(6)} \quad & P_{10} \\ \text{(7)} \quad & P_{1} \\ \text{(8)} \quad & P_{2} \\ \text{(9)} \quad & P_{3} \\ \text{(10)} \quad & P_{4} \\ \text{(11)} \quad & P_{5} \\ \text{(12)} \quad & P_{17} \\ \text{(13)} \quad & P_{9} \\ \text{(14)} \quad & P_{20} \\ \text{(15)} \quad & P_{21} \\ \text{(16)} \quad & P_{24} \\ \text{(17)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(18)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(19)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(20)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(21)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(22)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(23)} \quad & P_{25} \rightarrow P_{26} \\ \text{(24)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\ \text{(25)} \quad & \lnot P_{12} \\ \text{(26)} \quad & \lnot P_{13} \\ \text{(27)} \quad & \lnot P_{14} \\ \text{(28)} \quad & \lnot P_{15} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

apocalyptic — Apocalyptic reading of Paul (Martyn, Campbell)

The apocalyptic reading of Paul (Martyn, Campbell). It rejects the traditional reading's framing of justification and also the New Perspective's. The question is neither how an individual is accepted nor how Jew and gentile are related, but God's deliverance of the world in Christ.

It shares Galatians with the Reformed reading — the text of 2:16 and the circumcision polemic — and closes with the same step to salvation. It does not share the dominical or apostolic strands, which neither Martyn nor Campbell argues from; to grant it Luke 7:50 or Acts 15 would be to encode a position nobody holds.

\[ \begin{aligned} \text{(1)} \quad & \lnot P_{7} \\ \text{(2)} \quad & P_{16} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{8} \\ \text{(5)} \quad & (\lnot P_{7} \land P_{16}) \rightarrow \lnot P_{25} \\ \text{(6)} \quad & P_{16} \rightarrow P_{27} \land P_{28} \\ \text{(7)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

apocalypticOnGraceAndWorks — Apocalyptic reading, on grace and works only

The apocalyptic reading, asked only about the first two parts of the conclusion: by grace, and not by works.

\[ \begin{aligned} \text{(1)} \quad & \lnot P_{7} \\ \text{(2)} \quad & P_{16} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{8} \\ \text{(5)} \quad & (\lnot P_{7} \land P_{16}) \rightarrow \lnot P_{25} \\ \text{(6)} \quad & P_{16} \rightarrow P_{27} \land P_{28} \\ \text{(7)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \end{aligned} \]

No premise here rests on scripture alone.

tridentinePremises

Trent's premises, given the line that carries its definition to merit: four prooftexts it shares with the Reformed, scripture's self-consistency, what its definition rules out, and the step from merit to the denial of "not by works" (ch. 16).

Not built from the Reformed lines, and that is the point: it shares four prooftexts with them and nothing else, so caseOf would misdescribe it.

def tridentinePremises : Line Claim → List (Formula Claim) :=
  fun line =>
    [p Claim.ephesians2_8_9, p Claim.romans3_28,
            p Claim.galatians2_16,
            p Claim.titus3_5,
            p Claim.scriptureSelfConsistent] ++
          line.premises ++
        trentDefinitionSteps ++
      [p Claim.worksMeritIncreaseOfJustification 🡒
          notP Claim.salvationNotByWorks]

tridentine — Tridentine (Council of Trent, Session VI)

The Tridentine position: justification is the renewal of the inward man, that renewal grows through good works, so works performed in grace merit an increase of justification — which denies the second part of the conclusion, salvation not by works. The same definition denies that justification is forensic only.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{2} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{5} \\ \text{(5)} \quad & P_{24} \\ \text{(6)} \quad & P_{33} \\ \text{(7)} \quad & P_{35} \\ \text{(8)} \quad & (P_{33} \land P_{35}) \rightarrow P_{32} \\ \text{(9)} \quad & P_{33} \rightarrow \lnot P_{30} \\ \text{(10)} \quad & P_{33} \rightarrow \lnot P_{34} \\ \text{(11)} \quad & P_{33} \rightarrow \lnot P_{26} \\ \text{(12)} \quad & P_{32} \rightarrow \lnot P_{28} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

Variants

Each removes named premises from reformed and keeps the rest. The Pauline strand has two lexical premises, so it has two reduced forms.

reformedWithoutWorksOfLaw — Reformed, minus the ἔργα νόμου premise

The Reformed package without the ἔργα νόμου premise.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{7} \\ \text{(3)} \quad & P_{18} \\ \text{(4)} \quad & P_{19} \\ \text{(5)} \quad & P_{10} \\ \text{(6)} \quad & P_{1} \\ \text{(7)} \quad & P_{2} \\ \text{(8)} \quad & P_{3} \\ \text{(9)} \quad & P_{4} \\ \text{(10)} \quad & P_{5} \\ \text{(11)} \quad & P_{17} \\ \text{(12)} \quad & P_{9} \\ \text{(13)} \quad & P_{20} \\ \text{(14)} \quad & P_{21} \\ \text{(15)} \quad & P_{24} \\ \text{(16)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(17)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(18)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(19)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(20)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(21)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(22)} \quad & P_{25} \rightarrow P_{26} \\ \text{(23)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

reformedWithoutSozo — Reformed, minus the dominical lexical premise

The Reformed package without the dominical lexical premise.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{7} \\ \text{(4)} \quad & P_{19} \\ \text{(5)} \quad & P_{10} \\ \text{(6)} \quad & P_{1} \\ \text{(7)} \quad & P_{2} \\ \text{(8)} \quad & P_{3} \\ \text{(9)} \quad & P_{4} \\ \text{(10)} \quad & P_{5} \\ \text{(11)} \quad & P_{17} \\ \text{(12)} \quad & P_{9} \\ \text{(13)} \quad & P_{20} \\ \text{(14)} \quad & P_{21} \\ \text{(15)} \quad & P_{24} \\ \text{(16)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(17)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(18)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(19)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(20)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(21)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(22)} \quad & P_{25} \rightarrow P_{26} \\ \text{(23)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

reformedWithoutWorksOfLawOrSozo — Reformed, minus the ἔργα νόμου and σῴζω premises

The Reformed package with the ἔργα νόμου premise and the dominical premise removed: the two disputes the argument was first built to survive. The apostolic strand is untouched.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{7} \\ \text{(3)} \quad & P_{19} \\ \text{(4)} \quad & P_{10} \\ \text{(5)} \quad & P_{1} \\ \text{(6)} \quad & P_{2} \\ \text{(7)} \quad & P_{3} \\ \text{(8)} \quad & P_{4} \\ \text{(9)} \quad & P_{5} \\ \text{(10)} \quad & P_{17} \\ \text{(11)} \quad & P_{9} \\ \text{(12)} \quad & P_{20} \\ \text{(13)} \quad & P_{21} \\ \text{(14)} \quad & P_{24} \\ \text{(15)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(16)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(17)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(18)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(19)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(20)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(21)} \quad & P_{25} \rightarrow P_{26} \\ \text{(22)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

reformedWithoutEveryStrandsPremise — Reformed, minus the ἔργα νόμου, σῴζω and yoke premises

The Reformed package with a disputed premise removed from every strand: ἔργα νόμου from Paul, σῴζω from Luke, the yoke from Acts. The objective genitive stays.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{7} \\ \text{(3)} \quad & P_{19} \\ \text{(4)} \quad & P_{1} \\ \text{(5)} \quad & P_{2} \\ \text{(6)} \quad & P_{3} \\ \text{(7)} \quad & P_{4} \\ \text{(8)} \quad & P_{5} \\ \text{(9)} \quad & P_{17} \\ \text{(10)} \quad & P_{9} \\ \text{(11)} \quad & P_{20} \\ \text{(12)} \quad & P_{21} \\ \text{(13)} \quad & P_{24} \\ \text{(14)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(15)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(16)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(17)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(18)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(19)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(20)} \quad & P_{25} \rightarrow P_{26} \\ \text{(21)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

reformedWithoutPistisChristouSozoOrYoke — Reformed, minus the πίστις Χριστοῦ, σῴζω and yoke premises

The same with the objective genitive removed in place of ἔργα νόμου: the Pauline strand loses its other lexical premise, and the other two strands theirs.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{19} \\ \text{(4)} \quad & P_{1} \\ \text{(5)} \quad & P_{2} \\ \text{(6)} \quad & P_{3} \\ \text{(7)} \quad & P_{4} \\ \text{(8)} \quad & P_{5} \\ \text{(9)} \quad & P_{17} \\ \text{(10)} \quad & P_{9} \\ \text{(11)} \quad & P_{20} \\ \text{(12)} \quad & P_{21} \\ \text{(13)} \quad & P_{24} \\ \text{(14)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(15)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(16)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(17)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(18)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(19)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(20)} \quad & P_{25} \rightarrow P_{26} \\ \text{(21)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

graceAndWorksWithoutAnyLexicalPremise — Grace and works, minus every lexical premise

The Reformed package with every lexical premise removed — both of Paul's, Luke's σῴζω and the yoke of Acts 15 — asked only about grace and works. The reading of Galatians as a polemic stays, and so does the answer to James.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{19} \\ \text{(3)} \quad & P_{1} \\ \text{(4)} \quad & P_{2} \\ \text{(5)} \quad & P_{3} \\ \text{(6)} \quad & P_{4} \\ \text{(7)} \quad & P_{5} \\ \text{(8)} \quad & P_{17} \\ \text{(9)} \quad & P_{9} \\ \text{(10)} \quad & P_{20} \\ \text{(11)} \quad & P_{21} \\ \text{(12)} \quad & P_{24} \\ \text{(13)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(14)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(15)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(16)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(17)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(18)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(19)} \quad & P_{25} \rightarrow P_{26} \\ \text{(20)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \end{aligned} \]

No premise here rests on scripture alone.

paulineStrandOnTheCritics — Pauline strand alone, on variegated nomism

The New Perspective's critics (Gathercole, the Variegated Nomism volume), on the Pauline strand alone: the ἔργα νόμου premise derived from a denial of covenantal nomism rather than assumed, and the other two strands left out. Does Paul alone carry sola fide on Gathercole's history?

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{7} \\ \text{(3)} \quad & \lnot P_{31} \\ \text{(4)} \quad & P_{8} \\ \text{(5)} \quad & P_{1} \\ \text{(6)} \quad & P_{2} \\ \text{(7)} \quad & P_{3} \\ \text{(8)} \quad & P_{4} \\ \text{(9)} \quad & P_{5} \\ \text{(10)} \quad & P_{17} \\ \text{(11)} \quad & P_{9} \\ \text{(12)} \quad & P_{20} \\ \text{(13)} \quad & P_{21} \\ \text{(14)} \quad & P_{24} \\ \text{(15)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(16)} \quad & (\lnot P_{31} \land P_{8}) \rightarrow P_{6} \\ \text{(17)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(18)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(19)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(20)} \quad & P_{25} \rightarrow P_{26} \\ \text{(21)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

paulineStrandOnSanders — Pauline strand alone, on covenantal nomism

The same on Sanders' reading of Judaism.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{7} \\ \text{(3)} \quad & P_{31} \\ \text{(4)} \quad & P_{1} \\ \text{(5)} \quad & P_{2} \\ \text{(6)} \quad & P_{3} \\ \text{(7)} \quad & P_{4} \\ \text{(8)} \quad & P_{5} \\ \text{(9)} \quad & P_{17} \\ \text{(10)} \quad & P_{9} \\ \text{(11)} \quad & P_{20} \\ \text{(12)} \quad & P_{21} \\ \text{(13)} \quad & P_{24} \\ \text{(14)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(15)} \quad & P_{31} \rightarrow \lnot P_{6} \\ \text{(16)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(17)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(18)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(19)} \quad & P_{25} \rightarrow P_{26} \\ \text{(20)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

reformedWithoutJamesHarmonisation — Reformed, minus the James harmonisation

The Reformed package without the premises that harmonise James.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{7} \\ \text{(4)} \quad & P_{18} \\ \text{(5)} \quad & P_{19} \\ \text{(6)} \quad & P_{10} \\ \text{(7)} \quad & P_{1} \\ \text{(8)} \quad & P_{2} \\ \text{(9)} \quad & P_{3} \\ \text{(10)} \quad & P_{4} \\ \text{(11)} \quad & P_{5} \\ \text{(12)} \quad & P_{17} \\ \text{(13)} \quad & P_{9} \\ \text{(14)} \quad & P_{24} \\ \text{(15)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(16)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(17)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(18)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(19)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(20)} \quad & P_{25} \rightarrow P_{26} \\ \text{(21)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

graceWithoutJamesHarmonisation — Grace alone, minus the James harmonisation

The same, asked only about the first part of the conclusion: is salvation by grace, with James 2:24 left unanswered?

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{6} \\ \text{(3)} \quad & P_{7} \\ \text{(4)} \quad & P_{18} \\ \text{(5)} \quad & P_{19} \\ \text{(6)} \quad & P_{10} \\ \text{(7)} \quad & P_{1} \\ \text{(8)} \quad & P_{2} \\ \text{(9)} \quad & P_{3} \\ \text{(10)} \quad & P_{4} \\ \text{(11)} \quad & P_{5} \\ \text{(12)} \quad & P_{17} \\ \text{(13)} \quad & P_{9} \\ \text{(14)} \quad & P_{24} \\ \text{(15)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(16)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\ \text{(17)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(18)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(19)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(20)} \quad & P_{25} \rightarrow P_{26} \\ \text{(21)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \end{aligned} \]

No premise here rests on scripture alone.

tridentineCase — Trent, against 'not by works'

Trent, as the argument it makes in a dispute: justification is the renewal of the inward man, that renewal grows through good works, so works done in grace merit an increase of justification, and salvation is not apart from works. The same premises as tridentine, concluding what Trent denies.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{2} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{5} \\ \text{(5)} \quad & P_{24} \\ \text{(6)} \quad & P_{33} \\ \text{(7)} \quad & P_{35} \\ \text{(8)} \quad & (P_{33} \land P_{35}) \rightarrow P_{32} \\ \text{(9)} \quad & P_{33} \rightarrow \lnot P_{30} \\ \text{(10)} \quad & P_{33} \rightarrow \lnot P_{34} \\ \text{(11)} \quad & P_{33} \rightarrow \lnot P_{26} \\ \text{(12)} \quad & P_{32} \rightarrow \lnot P_{28} \\[4pt] \vdash \quad & \lnot P_{28} \end{aligned} \]

No premise here rests on scripture alone.

Paul's gospel, against Trent's definition

galatianGospel — Paul's gospel (Galatians 1), against justification as renewal

Paul's gospel, against justification as renewal. Galatians and 1 Corinthians read as one claim — Christ's work is the whole ground — with the forensic sense of δικαιόω and Romans 8:33–34, concluding that justification is not the renewal of the inward man: the direct denial of Trent's definition (Session VI, ch. 7).

\[ \begin{aligned} \text{(1)} \quad & P_{42} \\ \text{(2)} \quad & P_{43} \\ \text{(3)} \quad & P_{44} \\ \text{(4)} \quad & P_{45} \\ \text{(5)} \quad & (P_{42} \land P_{43} \land P_{44} \land P_{45}) \rightarrow P_{56} \\ \text{(6)} \quad & P_{46} \\ \text{(7)} \quad & P_{47} \\ \text{(8)} \quad & (P_{56} \land P_{47} \land P_{46}) \rightarrow \lnot P_{33} \\[4pt] \vdash \quad & \lnot P_{33} \end{aligned} \]

Grounded in scripture alone: 1 Corinthians 15:3: the gospel of first importance — Christ died for our sins, Romans 8:33–34: it is God who justifies — who is to condemn?.

romansFourOnTheWord — Romans 4:3–8, on Paul's word (by the rule of least meaning)

Romans 4, on what Paul's word means. Paul glosses the righteousness God counts to the ungodly as sin not counted; by the rule of least meaning, the verb he glosses so does not also denote the renewal of the inward man. An exegetical route to what the lexical case reaches lexically.

\[ \begin{aligned} \text{(1)} \quad & P_{4} \\ \text{(2)} \quad & P_{53} \\ \text{(3)} \quad & P_{54} \\ \text{(4)} \quad & P_{49} \\ \text{(5)} \quad & (P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55} \\ \text{(6)} \quad & (P_{55} \land P_{49}) \rightarrow \lnot P_{50} \\[4pt] \vdash \quad & \lnot P_{50} \end{aligned} \]

No premise here rests on scripture alone.

romansFourCase — Romans 4:3–8, against justification as renewal

Romans 4, against justification as renewal. Paul glosses the righteousness God counts to the ungodly as sin not counted; with the forensic sense of the verb, justification is not the renewal of the inward man.

\[ \begin{aligned} \text{(1)} \quad & P_{4} \\ \text{(2)} \quad & P_{53} \\ \text{(3)} \quad & P_{54} \\ \text{(4)} \quad & P_{47} \\ \text{(5)} \quad & (P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55} \\ \text{(6)} \quad & (P_{55} \land P_{47}) \rightarrow \lnot P_{33} \\[4pt] \vdash \quad & \lnot P_{33} \end{aligned} \]

No premise here rests on scripture alone.

Paul's word, against justification as renewal

lexicalCase — Paul's word (δικαιόω, by the rule of least meaning)

Paul's word. δικαιόω is forensic, Paul names renewal with words of its own, and a word contributes the least meaning its context requires: so Paul's δικαιόω does not denote the renewal of the inward man.

\[ \begin{aligned} \text{(1)} \quad & P_{47} \\ \text{(2)} \quad & P_{48} \\ \text{(3)} \quad & P_{49} \\ \text{(4)} \quad & (P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50} \\[4pt] \vdash \quad & \lnot P_{50} \end{aligned} \]

Grounded in scripture alone: Paul names renewal with other words (ἀνακαίνωσις, ἁγιασμός) and sets them beside δικαιόω.

TestimonyArguments.SolaFide.Results — what does and does not follow

Entailments are established with establish; refutations name a countermodel — the rival's own reading, written down as a valuation — and use refute_with.

lexical_premises_jointly_load_bearing is the result the encoding exists to make possible: no strand's disputed premise carries the argument, and only removing one from every strand defeats it. apostolic_strand_survives_paul_and_luke records what the third strand changed: the two disputes that used to be jointly decisive are no longer enough.

Results

reformed_establishes

Given the Reformed premises, the conclusion follows.

theorem reformed_establishes : Establishes reformed
-- axioms: propext, Quot.sound

newPerspective_establishes

The New Perspective establishes it too. Dunn and Wright reject the traditional reading of ἔργα νόμου; they do not reject justification by faith. Once Jesus' words at Luke 7:50 are in view, denying the Pauline lexical premise no longer blocks the conclusion.

Winning the ἔργα νόμου argument outright is therefore not a defeat of sola fide, and this library says so in a form either side can check. The critics of the New Perspective dispute its premise, not this result.

theorem newPerspective_establishes : Establishes newPerspective
-- axioms: propext, Quot.sound

tridentineReading

The Tridentine reading, as a valuation: works merit an increase of justification, so salvation is not apart from works; and justification renews the inward man, so it is not forensic only, not distinct from sanctification, and not had by faith alone — faith without charity does not suffice.

def tridentineReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | Claim.justificationByFaithAlone => False
    | x => True

tridentine_not_establishes

The Tridentine premises do not establish the conclusion — they entail the negation of its second part, that salvation is not by works.

theorem tridentine_not_establishes : ¬Establishes tridentine
-- axioms: propext, Quot.sound

worksOfLaw_not_load_bearing

The ἔργα νόμου premise is not load-bearing on its own: strip it and the other strands still carry the argument.

theorem worksOfLaw_not_load_bearing : Establishes reformedWithoutWorksOfLaw
-- axioms: propext, Quot.sound

sozo_not_load_bearing

Nor is the dominical lexical premise: strip it and the other strands still carry the argument.

theorem sozo_not_load_bearing : Establishes reformedWithoutSozo
-- axioms: propext, Quot.sound

apostolic_strand_survives_paul_and_luke

The two disputes that used to decide the argument no longer do. Deny both the ἔργα νόμου premise and the dominical premise — the pair whose joint removal defeated sola fide before Acts 15 was encoded — and the conclusion still follows, by Peter's speech at Jerusalem.

This is the change the third strand makes, stated as a result rather than left to be inferred from the absence of an old one.

theorem apostolic_strand_survives_paul_and_luke : Establishes
    reformedWithoutWorksOfLawOrSozo
-- axioms: propext, Quot.sound

pistisChristou_not_load_bearing

The objective genitive is not load-bearing for sola fide as a whole. Grant Hays that πίστις Χριστοῦ is Christ's own faithfulness, keep everything else, and the conclusion still follows.

The genitive is the hinge of the Pauline strand, as pistisChristou_jointly_load_bearing shows. It is not the hinge of the argument. A reader who wins the genitive for Hays has cost the Reformed case its Pauline route, and not its conclusion.

theorem pistisChristou_not_load_bearing : Establishes subjectiveGenitive
-- axioms: propext, Quot.sound

acts15Yoke_not_load_bearing

Nor is the yoke. Grant Jervell that the yoke of Acts 15:10 is Israel's law laid on gentiles, not the law as a condition of salvation, keep everything else, and the conclusion still follows by Paul and by Luke 7:50.

theorem acts15Yoke_not_load_bearing : Establishes lawObservantLuke
-- axioms: propext, Quot.sound

neitherLexicalReading

A reading on which no strand's disputed premise holds: Paul's phrase is about boundary markers, Jesus' σέσωκέν σε is about healing, and Peter's yoke is Israel's law for gentiles.

def neitherLexicalReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.worksOfLawMeansWorksGenerally => False
    | Claim.sozoIsSoteriological => False
    | Claim.acts15YokeIsLawAsCondition => False
    | Claim.justificationByFaithAlone => False
    | Claim.faithIsSufficient => False
    | Claim.salvationThroughFaith => False
    | x => True

lexical_premises_jointly_load_bearing

The result worth having. No strand's disputed premise carries the argument alone, but together they do: remove the ἔργα νόμου premise from Paul, σῴζω from Luke and the yoke from Acts, and sola fide no longer follows, with everything else retained.

So the Reformation's material principle, as encoded here, does not hang on the sense of Paul's ἔργα νόμου. It hangs on that, or on the sense of Jesus' σέσωκέν σε, or on Peter's yoke — and an opponent must defeat all three. The same holds with the πίστις Χριστοῦ premise in place of ἔργα νόμου; see pistisChristou_jointly_load_bearing.

theorem lexical_premises_jointly_load_bearing : ¬Establishes
    reformedWithoutEveryStrandsPremise
-- axioms: propext, Quot.sound

neitherPistisNorSozoReading

A reading on which Galatians 2:16 names Christ's faithfulness rather than faith in Christ, Jesus' σέσωκέν σε is about healing, and Peter's yoke is Israel's law for gentiles.

def neitherPistisNorSozoReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.pistisChristouObjective => False
    | Claim.sozoIsSoteriological => False
    | Claim.acts15YokeIsLawAsCondition => False
    | Claim.justificationByFaithAlone => False
    | Claim.faithIsSufficient => False
    | Claim.salvationThroughFaith => False
    | x => True

pistisChristou_jointly_load_bearing

Within the Pauline strand, faith in Christ is load-bearing. Deny the objective genitive, and the disputed premise of each other strand, keep the ἔργα νόμου premise and the reading of Galatians as a polemic against circumcision, and sola fide no longer follows.

Excluding works is not enough to reach faith alone. Galatians 2:16 must also name the believer's faith as the means, and on the subjective genitive it does not. So the Pauline strand rests on two disputed readings of one verse, either of which costs it the conclusion.

theorem pistisChristou_jointly_load_bearing : ¬Establishes
    reformedWithoutPistisChristouSozoOrYoke
-- axioms: propext, Quot.sound

authorship_not_load_bearing

Authorship is not load-bearing. Grant every critical conclusion — that Ephesians and Titus are not by Paul, and 1 and 2 Peter not by Peter — and the conclusion still follows.

The case reads these letters as canonical scripture rather than as an apostle's testimony, so their authorship is no premise of it — which is why this is proved by weakening (entails_of_subset) from reformed_establishes: the premises added are ones no step reads. What that costs is stated in criticalAuthorship: the letters cannot then serve as evidence of what Paul meant, and the ἔργα νόμου premise rests on Romans instead.

theorem authorship_not_load_bearing : Establishes criticalAuthorship
-- axioms: propext, Quot.sound

apocalypticReading

The apocalyptic reading, as a valuation: πίστις Χριστοῦ is Christ's faithfulness, δικαιοσύνη θεοῦ is God's deliverance, and faith is not the condition of justification. Everything else it grants.

def apocalypticReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.pistisChristouObjective => False
    | Claim.justificationByFaithAlone => False
    | Claim.faithIsSufficient => False
    | Claim.salvationThroughFaith => False
    | x => True

apocalyptic_not_establishes

The apocalyptic reading does not establish sola fide. It does not reach the conclusion's third part, "through faith": nothing it holds says that faith suffices, and the faith alone from which Paul's strand derives it, it denies.

What it keeps is stated as its own result, apocalyptic_establishes_grace_not_works.

theorem apocalyptic_not_establishes : ¬Establishes apocalyptic
-- axioms: propext, Quot.sound

apocalyptic_establishes_grace_not_works

What the apocalyptic reading keeps: grace, and not by works. If δικαιοσύνη θεοῦ is God's act of deliverance, salvation is sheer gift, conditioned on nothing a person does. The reading establishes the first two parts of the conclusion by its own route, and denies the third.

So the dispute between the apocalyptic and Reformed readings is located exactly: it is over through faith, and not over grace or works.

theorem apocalyptic_establishes_grace_not_works : Establishes
    apocalypticOnGraceAndWorks
-- axioms: propext, Quot.sound

grace_and_works_rest_on_no_lexical_premise

Grace, and not by works, rest on no lexical premise. Remove every one — ἔργα νόμου and πίστις Χριστοῦ from Paul, σῴζω from Luke, the yoke from Acts — and the first two parts of the conclusion still follow, from the texts that say "not of works" in terms and the answer to James.

The lexical disputes decide through faith: whether the texts that exclude works also name faith as the means. They do not decide whether works are excluded.

theorem grace_and_works_rest_on_no_lexical_premise : Establishes
    graceAndWorksWithoutAnyLexicalPremise
-- axioms: propext, Quot.sound

forensic_justification_not_load_bearing

Forensic justification is not load-bearing. Grant the Finnish reading of Luther that justification is not a declaration only — Christ himself is present in faith — and sola fide still follows. Proved by weakening, like authorship_not_load_bearing: no step reads the forensic premise.

On what justification is, Mannermaa sides with Trent against the Reformed account, and on sola fide with the Reformed against Trent. This result and tridentine_not_establishes together show that denying the forensic account does not by itself deny sola fide. What Trent's denial rests on is narrower: that justification includes the sanctification that grows through works (trent_objection_rests_on_its_definition).

theorem forensic_justification_not_load_bearing : Establishes finnish
-- axioms: propext, Quot.sound

critics_carry_the_pauline_strand

The critics carry the Pauline strand. Deny covenantal nomism with Gathercole, keep the reading of Galatians as a polemic, leave Luke and Acts out, and sola fide follows from Paul alone — with the ἔργα νόμου premise derived rather than assumed.

theorem critics_carry_the_pauline_strand : Establishes
    paulineStrandOnTheCritics
-- axioms: propext, Quot.sound

sandersReading

Sanders' world, with only Paul to go on: covenantal nomism, so the ἔργα νόμου premise fails and Paul does not reach faith alone.

def sandersReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.worksOfLawMeansWorksGenerally => False
    | Claim.sozoIsSoteriological => False
    | Claim.acts15YokeIsLawAsCondition => False
    | Claim.justificationByFaithAlone => False
    | Claim.faithIsSufficient => False
    | Claim.salvationThroughFaith => False
    | x => True

sanders_costs_the_pauline_strand

And Sanders costs it. Grant covenantal nomism, and with Dunn's inference the ἔργα νόμου premise is denied; leave Luke and Acts out, and sola fide does not follow from Paul.

Between them, this and critics_carry_the_pauline_strand locate the ἔργα νόμου dispute where the literature has it: in a historical question about Second Temple Judaism, before any question about Paul's Greek.

theorem sanders_costs_the_pauline_strand : ¬Establishes paulineStrandOnSanders
-- axioms: propext, Quot.sound

jamesUnharmonisedReading

A reading on which James 2:24 stands unharmonised against Paul.

def jamesUnharmonisedReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.james2_24Compatible => False
    | Claim.salvationNotByWorks => False
    | x => True

james_harmonisation_is_load_bearing

The argument genuinely depends on answering James. Remove the two premises that harmonise James 2:24 with Paul and sola fide no longer follows, however much of the rest is retained.

An argument for sola fide that does not engage James 2:24 is not merely impolite; it is invalid.

theorem james_harmonisation_is_load_bearing : ¬Establishes
    reformedWithoutJamesHarmonisation
-- axioms: propext, Quot.sound

grace_needs_no_answer_to_james

But grace does not need it. Remove the answer to James and salvation by grace still follows, from Ephesians 2:8, Romans 4:4–5 and Titus 3:5 alone. James 2:24 is load-bearing for not by works, the part it appears to contradict, and for nothing else — which the single closing step this argument once had could not show.

theorem grace_needs_no_answer_to_james : Establishes
    graceWithoutJamesHarmonisation
-- axioms: propext, Quot.sound

Satisfiability

Entails is vacuously true over a premise set with no model, so a package built from contradictory premises would establish its conclusion and every gate would pass. Only packages carrying a positive Establishes result need checking: one with a ¬ Establishes result is satisfiable already, because its countermodel satisfies every premise.

Not tagged @[headline] — these are claims about the health of the encoding rather than about justification.

everythingHoldsReading

The reading on which every claim in this argument holds at once: the witness that the packages built from positive grounds are coherent.

def everythingHoldsReading : Valuation Claim :=
  fun x => True

reformed_is_satisfiable

The Reformed package has a model, so reformed_establishes is not vacuous.

theorem reformed_is_satisfiable : Satisfiable reformed.premises
-- axioms: propext, Quot.sound

newPerspectiveOwnReading

The New Perspective's own world: Paul's ἔργα νόμου denotes the covenant boundary markers rather than works in general, and justification is by faith regardless. The all-holds reading cannot serve here — this package denies a premise, which is the whole point of it. Faith the only means and justification forensic only, it denies Trent's baptism as the instrument and justification as including sanctification.

def newPerspectiveOwnReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.worksOfLawMeansWorksGenerally => False
    | Claim.baptismIsInstrumentalCause => False
    | Claim.justificationIncludesSanctification => False
    | x => True

newPerspective_is_satisfiable

The New Perspective package has a model.

theorem newPerspective_is_satisfiable : Satisfiable newPerspective.premises
-- axioms: propext, Quot.sound

subjectiveGenitiveReading

Hays's own world: πίστις Χριστοῦ is Christ's faithfulness, and everything else in the Reformed case holds.

def subjectiveGenitiveReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.pistisChristouObjective => False
    | x => True

subjectiveGenitive_is_satisfiable

The subjective-genitive package has a model, so pistisChristou_not_load_bearing is not vacuous.

theorem subjectiveGenitive_is_satisfiable : Satisfiable
    subjectiveGenitive.premises
-- axioms: propext, Quot.sound

lawObservantLukeReading

Jervell's world: the yoke is Israel's law for gentiles, and everything else in the Reformed case holds.

def lawObservantLukeReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.acts15YokeIsLawAsCondition => False
    | x => True

lawObservantLuke_is_satisfiable

The law-observant package has a model, so acts15Yoke_not_load_bearing is not vacuous.

theorem lawObservantLuke_is_satisfiable : Satisfiable
    lawObservantLuke.premises
-- axioms: propext, Quot.sound

criticalAuthorshipReading

The critics' world: none of the four disputed letters is by the apostle whose name it bears, and everything else holds.

def criticalAuthorshipReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.ephesiansIsPauline => False
    | Claim.titusIsPauline => False
    | Claim.firstPeterIsPetrine => False
    | Claim.secondPeterIsPetrine => False
    | x => True

criticalAuthorship_is_satisfiable

The critical-authorship package has a model, so authorship_not_load_bearing is not vacuous.

theorem criticalAuthorship_is_satisfiable : Satisfiable
    criticalAuthorship.premises
-- axioms: propext, Quot.sound

reformedWithoutWorksOfLaw_is_satisfiable

The Reformed package minus the ἔργα νόμου premise has a model, so worksOfLaw_not_load_bearing is not vacuous. A load-bearing result that held only because its premises could not all be true would be exactly backwards.

theorem reformedWithoutWorksOfLaw_is_satisfiable : Satisfiable
    reformedWithoutWorksOfLaw.premises
-- axioms: propext, Quot.sound

reformedWithoutSozo_is_satisfiable

And the same minus the dominical lexical premise.

theorem reformedWithoutSozo_is_satisfiable : Satisfiable
    reformedWithoutSozo.premises
-- axioms: propext, Quot.sound

reformedWithoutWorksOfLawOrSozo_is_satisfiable

And the same minus both, so apostolic_strand_survives_paul_and_luke is not vacuous.

theorem reformedWithoutWorksOfLawOrSozo_is_satisfiable : Satisfiable
    reformedWithoutWorksOfLawOrSozo.premises
-- axioms: propext, Quot.sound

apocalypticOnGraceAndWorks_is_satisfiable

The apocalyptic package, asked about grace and works, has a model.

theorem apocalypticOnGraceAndWorks_is_satisfiable : Satisfiable
    apocalypticOnGraceAndWorks.premises
-- axioms: propext, Quot.sound

graceAndWorksWithoutAnyLexicalPremise_is_satisfiable

With every lexical premise removed, the package still has a model.

theorem graceAndWorksWithoutAnyLexicalPremise_is_satisfiable : Satisfiable
    graceAndWorksWithoutAnyLexicalPremise.premises
-- axioms: propext, Quot.sound

finnishReading

Mannermaa's world: justification is not forensic only, and everything else holds.

def finnishReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.justificationIsForensicOnly => False
    | x => True

finnish_is_satisfiable

The Finnish package has a model, so forensic_justification_not_load_bearing is not vacuous.

theorem finnish_is_satisfiable : Satisfiable finnish.premises
-- axioms: propext, Quot.sound

criticsReading

Gathercole's world: Second Temple Judaism was not uniformly covenantal nomism, and everything else holds. Faith the only means and justification forensic only, it denies Trent's baptism as the instrument and justification as including sanctification.

def criticsReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.secondTempleCovenantalNomism => False
    | Claim.baptismIsInstrumentalCause => False
    | Claim.justificationIncludesSanctification => False
    | x => True

paulineStrandOnTheCritics_is_satisfiable

The critics' Pauline package has a model, so critics_carry_the_pauline_strand is not vacuous.

theorem paulineStrandOnTheCritics_is_satisfiable : Satisfiable
    paulineStrandOnTheCritics.premises
-- axioms: propext, Quot.sound

graceWithoutJamesHarmonisation_is_satisfiable

With the answer to James removed, the package asked about grace still has a model, so grace_needs_no_answer_to_james is not vacuous.

theorem graceWithoutJamesHarmonisation_is_satisfiable : Satisfiable
    graceWithoutJamesHarmonisation.premises
-- axioms: propext, Quot.sound

TestimonyArguments.SolaFide.Gospel — where Trent parts from Paul

Paul's direct answer to anything added to the gospel is Galatians: another gospel, whoever preaches it accursed (1:6–9); if righteousness came by the law, Christ died for nothing (2:21); whoever would be justified by the law is severed from Christ (5:2–4). The gospel itself is that Christ died for our sins (1 Corinthians 15:3).

Set against Trent's definition of justification — "not remission of sins merely, but also the sanctification and renewal of the inward man" (Session VI, ch. 7) — the question is exactly where the two part. This module answers it in three steps, each checked.

What Trent grants. Every text of the line. And the forensic sense of Paul's verb: the Joint Declaration (1999), signed by the Catholic Church, confesses that God "no longer imputes to them their sin" (§22), and modern Greek scholarship across traditions reads δικαιόω as a verdict — the standard lexicon, Morris, Moo, Irons, Wright, and the Catholic exegete Fitzmyer (dikaioIsForensic, rated wellSupported).

What Trent denies. One step: that a verdict on the ground of a finished work excludes the renewal wrought in us. The same paragraph of the Joint Declaration holds forgiveness and the love the Spirit effects "not to be separated", and Gorman reads the verdict as an effective word that transforms.

Where they part. whereTrentPartsFromPaul finds it mechanically: the crux is that step, and what it breaks in Trent is its definition, and nothing else.

What this does not show is that the step is true. It shows that it is the whole of the disagreement: grant it, and Trent's definition cannot stand; deny it, and Paul's gospel as encoded here does not reach Trent's definition at all.

The gospel line holds

galatianGospelReading

The world of Paul's gospel as this line reads it: every text true, Christ's work the whole ground, the verdict forensic — and justification not the renewal of the inward man.

def galatianGospelReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.justificationIncludesSanctification => False
    | x => True

galatianGospel_establishes

Paul's gospel denies Trent's definition. From Galatians 1:6–9, 2:21, 5:2–4 and 1 Corinthians 15:3, read as one claim, with the forensic sense of δικαιόω: justification is not the renewal of the inward man.

theorem galatianGospel_establishes : Establishes galatianGospel
-- axioms: propext, Quot.sound

galatianGospel_is_satisfiable

The gospel line's premises have a model.

theorem galatianGospel_is_satisfiable : Satisfiable galatianGospel.premises
-- axioms: propext, Quot.sound

What Trent grants

jointDeclarationReading

Trent's world, with the Joint Declaration's confession added: God no longer imputes sin — the verb is forensic — and every text of the gospel line holds. Justification still includes renewal, faith without charity does not suffice, and justification is not by faith alone. Having granted that the verb is forensic, it does not also hold that Paul's verb denotes renewal: the meanings exclude the two (TestimonyArguments.Meanings.SolaFide.joins). Of the other pairs the meanings exclude, it holds the Greek of Revelation 22:11 and Sirach 18:22, and that James's δικαιόω is Paul's.

def jointDeclarationReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.james2_24Compatible => False
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | Claim.justificationByFaithAlone => False
    | x => True

trent_grants_the_gospel_texts

Trent can grant every text of the gospel line. Nothing Trent holds denies that Christ died for our sins, that righteousness by the law would make his death needless, or that another gospel is accursed.

theorem trent_grants_the_gospel_texts : Grants tridentineCase (⋀[p
    Claim.galatians1_6_9, p Claim.firstCorinthians15_3, p Claim.galatians2_21,
    p Claim.galatians5_2_4, p Claim.romans8_33_34])
-- axioms: propext, Quot.sound

trent_grants_the_forensic_sense

Trent can grant that Paul's verb is forensic, as the Joint Declaration does: God no longer imputes sin. The lexical question is not where they part.

theorem trent_grants_the_forensic_sense : Grants tridentineCase (p
    Claim.dikaioIsForensic)
-- axioms: propext, Quot.sound

Where Trent parts from Paul

whereTrentPartsFromPaul

Where Trent parts from Paul. The crux is one step: if justification is God's verdict on the ground of Christ's finished work, the renewal of the inward man is no part of it (verdictExcludesRenewal; Westminster XI.1). What it breaks in Trent is its definition — justification "not remission of sins merely, but also the sanctification and renewal of the inward man" (Session VI, ch. 7) — and nothing else in Trent's case: not its account of merit, not its reading of works.

The break needs the gospel line's grounds as well, and says so: the four texts, Paul's reading of them, Romans 8:33–34 and the forensic sense of the verb. Trent can grant every one of those (trent_grants_the_gospel_texts, trent_grants_the_forensic_sense); it is the step that it denies, with the Joint Declaration: forgiveness and renewal are "not to be separated".

Why Paul's gospel (Galatians 1), against justification as renewal stands against Trent, against 'not by works'.

  • The crux: \((P_{56} \land P_{47} \land P_{46}) \rightarrow \lnot P_{33}\), a premise of Paul's gospel (Galatians 1), against justification as renewal.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{42}\), \(P_{43}\), \(P_{44}\), \(P_{45}\), \((P_{42} \land P_{43} \land P_{44} \land P_{45}) \rightarrow P_{56}\), \(P_{46}\), \(P_{47}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\) cannot be held together with \((P_{56} \land P_{47} \land P_{46}) \rightarrow \lnot P_{33}\) and \(P_{42}\), \(P_{43}\), \(P_{44}\), \(P_{45}\), \((P_{42} \land P_{43} \land P_{44} \land P_{45}) \rightarrow P_{56}\), \(P_{46}\), \(P_{47}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

TestimonyArguments.SolaFide.Definition — what Trent's definition claims

Trent defines justification as "not remission of sins merely, but also the sanctification and renewal of the inward man" (Session VI, ch. 7). The Reformed deny it, and whereTrentPartsFromPaul locates the denial at one step. But the definition can be read two ways, and the two readings meet different objections.

Read as a claim about Paul's word, it says that δικαιόω, in Paul, denotes the renewal of the inward man. Trent invites the reading: chapter 8 sets out how "the Apostle's" words — justified "by faith and freely" — are to be understood, and chapter 7 says that the justified "are not only reputed, but are truly called, and are, just". Read so, the definition is a lexical claim, and it meets a lexical answer: δικαιόω is forensic, Paul names renewal with words of its own and sets them beside it (Titus 3:5–7; 1 Corinthians 6:11), and a word contributes the least meaning its context requires (Joos; Silva). To read renewal into the verdict from the doctrine is what Barr called illegitimate totality transfer. Every link of that answer is rated above disputed.

Why Trent would read it so is not left to the magisterium. The council read Paul in the Latin it had declared "authentic" (Session IV), and in Latin iustificare had meant "to make righteous" since Augustine: "what else does the phrase 'being justified' signify than being made righteous" (On the Spirit and the Letter 26.45). McGrath traces that inheritance through the medieval West. So this reading rests on a ground of its own — that Augustine glossed the word so, rated consensus, because he did — and a step from the Latin gloss to the Greek word. That step is where the reading breaks: a gloss in one language does not fix what a word denotes in another, and the lexical case says what δικαιόω denotes in Paul (whereTheLatinReadingFalls).

Read as a claim about what God does, it says that when God justifies he also renews — pardon and renewal given together, "not to be separated", as the Joint Declaration (§22) confesses. Read so, no lexical argument reaches it: it can be held with every word the lexical case says about δικαιόω, and Calvin himself grants that justification and sanctification are inseparable. What still divides Trent from Paul, on this reading, is the step whereTrentPartsFromPaul names — that a verdict on a finished work excludes renewal from justification — and that step is disputed.

Romans 4 is a second route to the same place, and it does not lift the rating. God "justifies the ungodly" (4:5), and the blessing of righteousness counted apart from works is sin not counted (4:6–8): read with the forensic verb, what is counted to the ungodly is not a righteousness wrought in them. Trent can grant every word (trent_grants_romans_four), and Augustine reads the same verse the other way — God justifies the ungodly "that he may become a godly one". So the step is disputed, as the step from Galatians is. What Romans 4 adds is not strength but a second route: on this reading, Paul meets Trent from Galatians and from Romans 4, and each must be answered on its own (whereRomansFourMeetsWhatGodDoes). The two routes are not wholly independent: both rest on the forensic sense of the verb, so a reader who denies that sense denies both.

whatTrentsDefinitionClaims is the dilemma, checked: each reading is fair — Trent read that way still has a model — and each is answered. The first cannot be held with Paul's word, three times over and each time at a step rated wellSupported: against the lexical case, as Trent states it and as it rests on the Latin gloss, and against Romans 4 read for the word. The second is untouched by anything about the word, and conflicts with Paul's gospel and with Romans 4, each time at a step rated disputed — so whoever grants that step rejects this reading, and whoever denies it need not. Which reading Trent means is not something the dilemma decides. What it shows is what each reading costs.

paulNamesRenewalOtherwise is grounded in scripture alone — what the texts say, and no more — and the manifest lists it so.

The lexical case holds

lexicalReading

The world of the lexical case: every word as it reads it, and δικαιόω denoting the verdict and not renewal.

def lexicalReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | x => True

lexicalCase_establishes

Paul's δικαιόω does not denote the renewal of the inward man, from the forensic sense, Paul's own words for renewal, and the rule of least meaning.

theorem lexicalCase_establishes : Establishes lexicalCase
-- axioms: propext, Quot.sound

lexicalCase_is_satisfiable

The lexical case's premises have a model.

theorem lexicalCase_is_satisfiable : Satisfiable lexicalCase.premises
-- axioms: propext, Quot.sound

Two readings of Trent's definition

trentReadsPaulsWord

Reading Trent's definition as a claim about Paul's word, and reading Paul's word as the Latin West did. Trent's chapter 8 sets out how "the Apostle's" words are to be understood, and chapter 7 says the justified are "not only reputed, but are truly called, and are, just". The council read Paul in the Latin it had declared "authentic" (Session IV), where iustificare had meant "to make righteous" since Augustine; McGrath traces that inheritance. Rated disputed: whether the council defines the word or the reality is itself argued, and the step from the Latin gloss to the Greek word is what the lexical case denies.

def trentReadsPaulsWord : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef
          "Trent, Session VI (1547), Decree on Justification, ch. 8"),
    supporting :=
      [Reference.work tannerDecrees
          (Bib.Locus.sectionRef
            "Trent, Session VI (1547), Decree on Justification, ch. 7"),
        Reference.work npnfAugustineAntiPelagian
          (Bib.Locus.sectionRef "On the Spirit and the Letter, ch. 45 (26.45)"),
        Reference.work mcgrathIustitiaDei],
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

trentReadsGrace

Reading Trent's definition as a claim about what God does in justifying: in the Joint Declaration, forgiveness and the renewal the Spirit effects are two aspects of God's gracious action, "not to be separated" (§22). Rated disputed, for the same reason as the other reading.

def trentReadsGrace : Source :=
  {
    primary :=
      Reference.work jointDeclarationJustification (Bib.Locus.sectionRef "§22"),
    supporting :=
      [Reference.work tannerDecrees
          (Bib.Locus.sectionRef
            "Trent, Session VI (1547), Decree on Justification, ch. 7")],
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

trentOnPaulsWord

Trent's definition, read as a claim about what Paul's word means — and resting that reading, as the Latin West did, on Augustine's gloss: "being justified" is "being made righteous".

def trentOnPaulsWord : Reading Claim :=
  { name := "as what Paul's word means",
    commits := p Claim.paulsJustifyDenotesRenewal,
    grounds :=
      [p Claim.augustineReadsJustifyAsMakeRighteous,
        p Claim.augustineReadsJustifyAsMakeRighteous 🡒
          p Claim.paulsJustifyDenotesRenewal],
    source := trentReadsPaulsWord }

trentOnWhatGodDoes

Trent's definition, read as a claim about what God does in justifying.

def trentOnWhatGodDoes : Reading Claim :=
  { name := "as what God does in justifying",
    commits := p Claim.justifyingGraceRenews,
    source := trentReadsGrace }

tridentineOnPaulsWord — Trent, against 'not by works', read as what Paul's word means

Trent, with its definition read as a claim about Paul's word.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{2} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{5} \\ \text{(5)} \quad & P_{24} \\ \text{(6)} \quad & P_{33} \\ \text{(7)} \quad & P_{35} \\ \text{(8)} \quad & (P_{33} \land P_{35}) \rightarrow P_{32} \\ \text{(9)} \quad & P_{33} \rightarrow \lnot P_{30} \\ \text{(10)} \quad & P_{33} \rightarrow \lnot P_{34} \\ \text{(11)} \quad & P_{33} \rightarrow \lnot P_{26} \\ \text{(12)} \quad & P_{32} \rightarrow \lnot P_{28} \\ \text{(13)} \quad & P_{52} \\ \text{(14)} \quad & P_{52} \rightarrow P_{50} \\ \text{(15)} \quad & P_{33} \rightarrow P_{50} \\[4pt] \vdash \quad & \lnot P_{28} \end{aligned} \]

No premise here rests on scripture alone.

tridentineOnWhatGodDoes — Trent, against 'not by works', read as what God does in justifying

Trent, with its definition read as a claim about what God does.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{2} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{5} \\ \text{(5)} \quad & P_{24} \\ \text{(6)} \quad & P_{33} \\ \text{(7)} \quad & P_{35} \\ \text{(8)} \quad & (P_{33} \land P_{35}) \rightarrow P_{32} \\ \text{(9)} \quad & P_{33} \rightarrow \lnot P_{30} \\ \text{(10)} \quad & P_{33} \rightarrow \lnot P_{34} \\ \text{(11)} \quad & P_{33} \rightarrow \lnot P_{26} \\ \text{(12)} \quad & P_{32} \rightarrow \lnot P_{28} \\ \text{(13)} \quad & P_{33} \rightarrow P_{51} \\[4pt] \vdash \quad & \lnot P_{28} \end{aligned} \]

No premise here rests on scripture alone.

tridentineOnPaulsWord_establishes

Trent, read as a claim about Paul's word, still concludes what Trent concludes: a reading only adds premises.

theorem tridentineOnPaulsWord_establishes : Establishes tridentineOnPaulsWord
-- axioms: propext, Quot.sound

trentOnPaulsWordReading

Trent's world, reading Paul's word as it does: δικαιόω denotes making just, and not a verdict only; justification includes renewal, faith without charity does not suffice, and justification is not by faith alone.

def trentOnPaulsWordReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | Claim.justificationByFaithAlone => False
    | Claim.dikaioIsForensic => False
    | x => True

tridentineOnPaulsWord_is_satisfiable

Trent, read as a claim about Paul's word, holds together. The horn is fair: it does not fall to itself.

theorem tridentineOnPaulsWord_is_satisfiable : Satisfiable
    tridentineOnPaulsWord.premises
-- axioms: propext, Quot.sound

trentGrantsTheWordReading

Trent read as a claim about what God does, with every word of the lexical case granted: δικαιόω forensic, Paul's own words for renewal, the rule of least meaning, and δικαιόω not denoting renewal. God, in justifying, also renews.

def trentGrantsTheWordReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | Claim.justificationByFaithAlone => False
    | Claim.paulsJustifyDenotesRenewal => False
    | x => True

tridentineOnWhatGodDoes_is_satisfiable

Trent, read as a claim about what God does, holds together.

theorem tridentineOnWhatGodDoes_is_satisfiable : Satisfiable
    tridentineOnWhatGodDoes.premises
-- axioms: propext, Quot.sound

lexical_case_does_not_reach_what_god_does

The lexical case does not reach the second reading. Trent, read as a claim about what God does, can be held with every premise of the lexical case: the rule of least meaning governs what Paul's word says, and this reading says nothing about the word.

theorem lexical_case_does_not_reach_what_god_does : Satisfiable
    (lexicalCase.premises ++ tridentineOnWhatGodDoes.premises)
-- axioms: propext, Quot.sound

Where each reading falls

whereTrentsWordReadingFalls

Why Paul's word stands against Trent, read as a claim about it. The crux is the lexical step: with the forensic sense, Paul's own words for renewal and the rule of least meaning, δικαιόω does not denote renewal. What it breaks is Trent's definition together with the reading — nothing else in Trent — and every link of the break is rated above disputed.

Why Paul's word (δικαιόω, by the rule of least meaning) stands against Trent, against 'not by works', read as what Paul's word means.

  • The crux: \((P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50}\), a premise of Paul's word (δικαιόω, by the rule of least meaning).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{47}\), \(P_{48}\), \(P_{49}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\), \(P_{33} \rightarrow P_{50}\) cannot be held together with \((P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50}\) and \(P_{47}\), \(P_{48}\), \(P_{49}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

whereTheLatinReadingFalls

Why Paul's word stands against the Latin reading of it. The same crux, and a second break in the same horn: Trent rests its reading of Paul's word on Augustine's gloss, and the step from that gloss to what the Greek word means is what breaks. That Augustine glossed it so is not in question — it is rated consensus — but a Latin gloss does not fix what δικαιόω denotes in Paul, and the forensic sense, Paul's own words for renewal and the rule of least meaning say it does not.

Why Paul's word (δικαιόω, by the rule of least meaning) stands against Trent, against 'not by works', read as what Paul's word means.

  • The crux: \((P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50}\), a premise of Paul's word (δικαιόω, by the rule of least meaning).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{47}\), \(P_{48}\), \(P_{49}\), which the break also needs.
  • Where the rival breaks: \(P_{52}\), \(P_{52} \rightarrow P_{50}\) cannot be held together with \((P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50}\) and \(P_{47}\), \(P_{48}\), \(P_{49}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

whereTrentsGraceReadingFalls

Why Paul's gospel stands against Trent, read as a claim about what God does. The same crux as whereTrentPartsFromPaul, and the same break: the step from a verdict on a finished work to "renewal is no part of justification", against Trent's definition. On this reading that step is all that divides them, and it is rated disputed.

Why Paul's gospel (Galatians 1), against justification as renewal stands against Trent, against 'not by works', read as what God does in justifying.

  • The crux: \((P_{56} \land P_{47} \land P_{46}) \rightarrow \lnot P_{33}\), a premise of Paul's gospel (Galatians 1), against justification as renewal.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{42}\), \(P_{43}\), \(P_{44}\), \(P_{45}\), \((P_{42} \land P_{43} \land P_{44} \land P_{45}) \rightarrow P_{56}\), \(P_{46}\), \(P_{47}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\) cannot be held together with \((P_{56} \land P_{47} \land P_{46}) \rightarrow \lnot P_{33}\) and \(P_{42}\), \(P_{43}\), \(P_{44}\), \(P_{45}\), \((P_{42} \land P_{43} \land P_{44} \land P_{45}) \rightarrow P_{56}\), \(P_{46}\), \(P_{47}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

Romans 4

romansFourCase_establishes

Romans 4 denies Trent's definition: Paul glosses the righteousness God counts to the ungodly as sin not counted, and with the forensic sense of the verb, renewal is no part of justification.

theorem romansFourCase_establishes : Establishes romansFourCase
-- axioms: propext, Quot.sound

romansFourCase_is_satisfiable

Romans 4's case has a model: Paul's gospel's world.

theorem romansFourCase_is_satisfiable : Satisfiable romansFourCase.premises
-- axioms: propext, Quot.sound

romansFourOnTheWord_establishes

Romans 4, read by the rule of least meaning, says what Paul's word means: the verb Paul glosses as sin not counted does not also denote the renewal of the inward man.

theorem romansFourOnTheWord_establishes : Establishes romansFourOnTheWord
-- axioms: propext, Quot.sound

romansFourOnTheWord_is_satisfiable

The exegetical route to Paul's word has a model: the lexical case's world.

theorem romansFourOnTheWord_is_satisfiable : Satisfiable
    romansFourOnTheWord.premises
-- axioms: propext, Quot.sound

trent_grants_romans_four

Trent can grant every word of Romans 4:5–8, as Augustine does: God justifies the ungodly, and the blessing is sin not counted. The texts are common ground; the reading is not.

theorem trent_grants_romans_four : Grants tridentineCase (⋀[p
    Claim.romans4_4_5, p Claim.romans4_6_8])
-- axioms: propext, Quot.sound

romans_four_on_the_word_does_not_reach_what_god_does

Romans 4, read for Paul's word, does not reach the second reading either. Trent, read as a claim about what God does, can be held with every premise of it: the exegesis says what the counting is, and this reading says nothing about the word.

theorem romans_four_on_the_word_does_not_reach_what_god_does : Satisfiable
    (romansFourOnTheWord.premises ++ tridentineOnWhatGodDoes.premises)
-- axioms: propext, Quot.sound

whereRomansFourMeetsTheWordReading

Why Romans 4 stands against Trent, read as a claim about Paul's word. The crux is the step from Paul's gloss — the righteousness counted to the ungodly is sin not counted — by the rule of least meaning, to "the verb does not also denote renewal". What it breaks is Trent's definition with the reading, and every link of the break is rated wellSupported or better: an exegetical route to where the lexical case arrives lexically.

Why Romans 4:3–8, on Paul's word (by the rule of least meaning) stands against Trent, against 'not by works', read as what Paul's word means.

  • The crux: \((P_{55} \land P_{49}) \rightarrow \lnot P_{50}\), a premise of Romans 4:3–8, on Paul's word (by the rule of least meaning).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{4}\), \(P_{53}\), \(P_{54}\), \(P_{49}\), \((P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\), \(P_{33} \rightarrow P_{50}\) cannot be held together with \((P_{55} \land P_{49}) \rightarrow \lnot P_{50}\) and \(P_{4}\), \(P_{53}\), \(P_{54}\), \(P_{49}\), \((P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

whereRomansFourMeetsWhatGodDoes

Why Romans 4 stands against Trent, read as a claim about what God does. The crux is the step from Paul's gloss, with the forensic sense of the verb, to "renewal is no part of justification". It breaks Trent's definition and nothing else. It is rated disputed, as the step from Galatians is — Augustine grants the same verses and reads them the other way, God justifying the ungodly "that he may become a godly one" — so on this reading of Trent, Paul meets it by two routes, from Galatians and from Romans 4, each at a disputed step. The routes share one ground, the forensic sense of the verb.

Why Romans 4:3–8, against justification as renewal stands against Trent, against 'not by works', read as what God does in justifying.

  • The crux: \((P_{55} \land P_{47}) \rightarrow \lnot P_{33}\), a premise of Romans 4:3–8, against justification as renewal.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{4}\), \(P_{53}\), \(P_{54}\), \(P_{47}\), \((P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\) cannot be held together with \((P_{55} \land P_{47}) \rightarrow \lnot P_{33}\) and \(P_{4}\), \(P_{53}\), \(P_{54}\), \(P_{47}\), \((P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

The dilemma

whatTrentsDefinitionClaims

What Trent's definition claims, read both ways. The claim is Trent's definition — justification is the sanctification and renewal of the inward man.

Read as a claim about what Paul's word means (δικαιόω denotes that renewal), it cannot be held with Paul's word, three times over, each at a step rated wellSupported: the lexical case against the definition as Trent states it; the lexical case against the Latin gloss the reading rests on ("being justified" as "being made righteous"); and Romans 4 read for the word.

Read as a claim about what God does in justifying (he also renews), nothing about the word reaches it: neither the lexical case nor Romans 4 read for the word. It conflicts with Paul twice, each time at a step rated disputed: with his gospel in Galatians, at the step whereTrentPartsFromPaul names, and with Romans 4, at his reading of the ungodly justified. A reader who grants those steps rejects this reading; one who denies them, as Augustine and the Joint Declaration do, need not.

Each reading is fair: Trent read either way still has a model.

Every reading of \(P_{33}\), answered. Trent, against 'not by works' holds \(P_{33}\). It is read 2 ways here, and each reading is checked; none can be left out.

1. Read as what Paul's word means. The claim commits Trent, against 'not by works' to \(P_{50}\) — so read by tanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 8; tanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 7; npnf1-05-1887, §On the Spirit and the Letter, ch. 45 (26.45); mcgrath-iustitia-dei-2005 (disputed). It rests the reading on \(P_{52}\), \(P_{52} \rightarrow P_{50}\).

Against Paul's word (δικαιόω, by the rule of least meaning), it cannot be held. Where it breaks:

Why Paul's word (δικαιόω, by the rule of least meaning) stands against Trent, against 'not by works', read as what Paul's word means.

  • The crux: \((P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50}\), a premise of Paul's word (δικαιόω, by the rule of least meaning).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{47}\), \(P_{48}\), \(P_{49}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\), \(P_{33} \rightarrow P_{50}\) cannot be held together with \((P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50}\) and \(P_{47}\), \(P_{48}\), \(P_{49}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

Against Paul's word (δικαιόω, by the rule of least meaning), it cannot be held. Where it breaks:

Why Paul's word (δικαιόω, by the rule of least meaning) stands against Trent, against 'not by works', read as what Paul's word means.

  • The crux: \((P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50}\), a premise of Paul's word (δικαιόω, by the rule of least meaning).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{47}\), \(P_{48}\), \(P_{49}\), which the break also needs.
  • Where the rival breaks: \(P_{52}\), \(P_{52} \rightarrow P_{50}\) cannot be held together with \((P_{47} \land P_{48} \land P_{49}) \rightarrow \lnot P_{50}\) and \(P_{47}\), \(P_{48}\), \(P_{49}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

Against Romans 4:3–8, on Paul's word (by the rule of least meaning), it cannot be held. Where it breaks:

Why Romans 4:3–8, on Paul's word (by the rule of least meaning) stands against Trent, against 'not by works', read as what Paul's word means.

  • The crux: \((P_{55} \land P_{49}) \rightarrow \lnot P_{50}\), a premise of Romans 4:3–8, on Paul's word (by the rule of least meaning).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{4}\), \(P_{53}\), \(P_{54}\), \(P_{49}\), \((P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\), \(P_{33} \rightarrow P_{50}\) cannot be held together with \((P_{55} \land P_{49}) \rightarrow \lnot P_{50}\) and \(P_{4}\), \(P_{53}\), \(P_{54}\), \(P_{49}\), \((P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

2. Read as what God does in justifying. The claim commits Trent, against 'not by works' to \(P_{51}\) — so read by lwf-catholic-joint-declaration-2000, §§22; tanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 7 (disputed).

Against Paul's word (δικαιόω, by the rule of least meaning), it is not reached: Paul's word (δικαιόω, by the rule of least meaning) holds, and can be held together with it.

Against Romans 4:3–8, on Paul's word (by the rule of least meaning), it is not reached: Romans 4:3–8, on Paul's word (by the rule of least meaning) holds, and can be held together with it.

Against Paul's gospel (Galatians 1), against justification as renewal, it cannot be held. Where it breaks:

Why Paul's gospel (Galatians 1), against justification as renewal stands against Trent, against 'not by works', read as what God does in justifying.

  • The crux: \((P_{56} \land P_{47} \land P_{46}) \rightarrow \lnot P_{33}\), a premise of Paul's gospel (Galatians 1), against justification as renewal.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{42}\), \(P_{43}\), \(P_{44}\), \(P_{45}\), \((P_{42} \land P_{43} \land P_{44} \land P_{45}) \rightarrow P_{56}\), \(P_{46}\), \(P_{47}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\) cannot be held together with \((P_{56} \land P_{47} \land P_{46}) \rightarrow \lnot P_{33}\) and \(P_{42}\), \(P_{43}\), \(P_{44}\), \(P_{45}\), \((P_{42} \land P_{43} \land P_{44} \land P_{45}) \rightarrow P_{56}\), \(P_{46}\), \(P_{47}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

Against Romans 4:3–8, against justification as renewal, it cannot be held. Where it breaks:

Why Romans 4:3–8, against justification as renewal stands against Trent, against 'not by works', read as what God does in justifying.

  • The crux: \((P_{55} \land P_{47}) \rightarrow \lnot P_{33}\), a premise of Romans 4:3–8, against justification as renewal.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{4}\), \(P_{53}\), \(P_{54}\), \(P_{47}\), \((P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\) cannot be held together with \((P_{55} \land P_{47}) \rightarrow \lnot P_{33}\) and \(P_{4}\), \(P_{53}\), \(P_{54}\), \(P_{47}\), \((P_{4} \land P_{53} \land P_{54}) \rightarrow P_{55}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

TestimonyArguments.SolaFide.Dispute — who prevails over sola fide

The results in Results.lean ask what each package entails. This module asks what happens when the positions meet: the three Reformed strands, each argued alone; Trent; the apocalyptic reading of Martyn and Campbell; Sanders and Dunn on covenantal nomism, and the critics who answer them; Jervell on the yoke of Acts 15; Paul's gospel in Galatians, against Trent's definition; Paul's word, read by the rule of least meaning, lexically and from Romans 4; and Trent with its definition read as a claim about that word. Who defeats whom is not stipulated — each defeat, and each absence of one, is a theorem about the positions' premises (see Testimony.Logic.Dispute).

The ratings decide one thing here

Every party's weakest link but two is disputed: each Reformed strand's inference is rated at Trent's canon 9, which denies it; Paul's and Peter's cases hold the Reformed distinction between justification and sanctification, which Trent anathematises; Trent rests on its own definition of justification, which Westminster denies; the apocalyptic reading denies an atom (and a denial ranks at the bottom); and so on. Between those parties no rating blocks any attack, and the outcome is fixed by who contradicts whom.

The exceptions are the two routes to Paul's word. The lexical case (lexicalCase): δικαιόω is forensic, Paul names renewal with words of its own, and a word contributes the least meaning its context requires. And the exegetical case from Romans 4 (romansFourOnTheWord): Paul glosses the righteousness God counts to the ungodly as sin not counted, and by the same rule the verb he glosses so does not also denote renewal. Every link of each is rated wellSupported or better. Each contradicts one party, Trent read as a claim about Paul's word, and those are the attacks in the dispute the ratings decide.

How to read the verdicts

A few words recur, and each has a plain meaning.

  • Defeats. One position contradicts another — denies one of its premises, its conclusion, or a claim it derives on the way — and is not the weaker of the two. Many defeats run both ways: a standoff.
  • Weakest link. A position is only as strong as its least-supported premise or step. Ratings run from disputed, the lowest, through plausible and wellSupported, to consensus. Denying a claim counts as disputed.
  • Forced (prevails outright, the grounded positions). Accepted however every standoff is resolved: nothing attacks it that it cannot rule out.
  • Can be defended (credulously accepted). Held by some consistent position that answers every attack on its members, itself or through an ally.
  • Not forced. Some consistent position leaves it out. Not forced is not false: it means the dispute, as argued, cannot make a reader accept it.
  • Cannot be defended. No consistent position can hold it and answer its attackers.

Who defeats whom

  • Trent and each Reformed strand defeat each other. Paul's and Peter's cases conclude "not by works", which Trent denies; and Trent's definition of justification — the renewal of the inward man — contradicts the distinction between justification and sanctification they hold. That is where the objection comes from: with the distinction in place of the definition, Trent's case no longer denies "not by works" (trent_objection_rests_on_its_definition). Luke's case holds only Luke's words, and meets Trent over faith's sufficiency: Trent's definition, with canon 9, denies that faith without charity suffices, and "your faith has saved you" says hers did.
  • The apocalyptic reading and Paul defeat each other: it denies the objective genitive, and Paul concludes faith alone. Luke and Acts do not conflict with it either way. They say that faith saves, which it grants; it says that faith is not the condition, which they do not deny.
  • The apocalyptic reading and Trent defeat each other. They agree that justification is not by faith alone; but the apocalyptic reading derives "not by works" — God's deliverance is conditioned on nothing a person does — and Trent denies it. Each attacks what the other holds.
  • Sanders defeats Paul, by denying the ἔργα νόμου premise; Paul and the critics each defeat Sanders back.
  • Jervell and Acts defeat each other, over the yoke.
  • Paul's gospel and Trent defeat each other, over Trent's definition: the gospel line concludes that justification is not the renewal of the inward man, and both rest on something rated disputed.
  • Paul's word defeats Trent read as a claim about it, and not the reverse (lexical_defeats_trent_on_pauls_word, trent_on_pauls_word_does_not_defeat_lexical). Read that way, Trent's case derives that δικαιόω denotes renewal; Paul's word denies it, and Trent's reply, from a definition rated disputed, fails against a case rated wellSupported. Romans 4, read for Paul's word, does the same, by exegesis rather than lexicography. Neither conflicts with anything else — in particular not with Trent's case as Trent states it, whose definition, taken at face value, says nothing about the word.

What follows

Only Paul's word prevails outright (only_pauls_word_prevails): the grounded extension is exactly its two routes, the lexical case and Romans 4 read for the word. Every other party is attacked by someone the dispute cannot rule out: some lose outright, and others stand off against a rival the dispute cannot choose between. And Trent read as a claim about Paul's word cannot be defended at all (trent_on_pauls_word_indefensible): both routes defeat it, and nothing answers either.

Beyond that, nothing wins on every resolution. Luke's case, Paul's gospel and Trent — as Trent states it, tied to neither reading — are each defensible, and none is forced (dominical_case_defensible, dominical_case_not_forced, gospel_defensible, gospel_not_forced, trent_defensible, trent_not_forced). Every attack between Trent and a Reformed party runs both ways, with every rating at the bottom, and the dispute has no ground to choose between them.

Between Paul and the apocalyptic reading, the dispute chooses neither. Each defeats the other over πίστις Χριστοῦ; each is defensible, and neither is forced (apocalyptic_defensible, apocalyptic_not_forced). The apocalyptic reading stands with Luke's case and Peter's, which claim that faith saves and not that faith alone does.

What the verdict rests on

Three things, each stated as a result or a limitation rather than left implicit.

What Trent's definition claims. Trent's definition can be read two ways, and the dilemma whatTrentsDefinitionClaims (Definition.lean) answers both. Read as a claim about Paul's word, it cannot be held with Paul's word, and in this dispute it cannot be defended. Read as a claim about what God does in justifying, the lexical case does not reach it, and what divides it from Paul is one step, that a verdict on a finished work excludes the renewal wrought in us (whereTrentPartsFromPaul) — rated disputed. Trent's case as Trent states it stands for that second reading here: the reading adds a commitment no party denies. So the dispute does not settle between Trent and the Reformed; it shows that Trent can keep its definition only as a claim about the reality and not about Paul's word, and it names the one step on which that claim turns.

An absence. The dominical case is attacked by no one but Trent, because no source cited here argues that σῴζω at Luke 7:50 means healing. That absence is now also its rating: the premise is wellSupported, not disputed, because a search for a scholar arguing the healing sense at 7:50 found none, and at 7:50 there is no illness — the saying follows "your sins are forgiven". It is not consensus, because the same formula means "made you well" at Luke 8:48, 17:19 and 18:42. A cited argument for the healing reading would attack the dominical case and lower the rating.

An objection answered in advance. "Her sins are forgiven, for she loved much" (7:47) is the text a rival would use to make love, not faith, the ground of her forgiveness. The dominical case does not leave that open: it carries luke7_47LoveIsEvidence — her love is the evidence of forgiveness, not its ground, as 7:47b and the parable of 7:41–43 read it — as a premise of its own. It is Padilla's reading — she "loves much because she has been forgiven much" — and Melanchthon's in the Apology of the Augsburg Confession: "Christ interprets Himself when He adds: Thy faith hath saved thee", so the woman did not merit forgiveness "by that work of love". It is rated plausible, because Trent counts beginning to love God among the dispositions to justification (Session VI, ch. 6); but no party here argues that reading of 7:47.

The parties chosen. A dispute is over the arguments put into it. Hays's subjective genitive is represented through the apocalyptic reading, which holds it; a Hays party of its own, the Joint Declaration, and a party for the Finnish reading would each be new arguments to weigh. So would a cited argument that Paul's δικαιόω, granted forensic, still denotes renewal: none was found, and the lexical case's rating says so. Romans 4 (romansFourCase) is answered in the dilemma, not added here: it meets Trent exactly where Paul's gospel does — at Trent's definition, from a step rated disputed — and a party of its own would be a second argument to weigh.

The positions

Each party is an argument in its own right: premises that can hold together, a conclusion they deliver, and an inference someone has rated. The Reformed case enters as three parties, one per strand, because a dispute weighs arguments whole: one package holding all three strands would be defeated by a contradiction of any one of them, and the redundancy the results prove would count for nothing.

reformedOntology

What the Reformed hold about what justification is, where Trent is heard: justification and sanctification are distinct, and sanctification follows. It carries no strand's conclusion — the strands reach sola fide without it — but it is the premise Trent's definition contradicts, so it belongs to each Reformed party, and Trent's attack on each lands on it as well as on "not by works". Not added to reformed, because the other packages built from it, the Finnish reading among them, would then hold it on their authors' behalf.

\[ \begin{aligned} \text{(1)} \quad & P_{34} \end{aligned} \]

paulineCase — Sola fide from Paul (Galatians 2:16)

The Pauline strand, argued alone: sola fide from Galatians 2:16.

Its ἔργα νόμου premise is derived, not assumed: it rests on the critics' line, which denies covenantal nomism and reads Galatians as a polemic against circumcision as a requirement. That is where the literature puts the dispute (critics_carry_the_pauline_strand, sanders_costs_the_pauline_strand), and so Sanders meets Paul here on the history of Second Temple Judaism, not on Paul's Greek. The critics' inference is rated with the rest, as Gathercole's.

\[ \begin{aligned} \text{(1)} \quad & P_{8} \\ \text{(2)} \quad & P_{7} \\ \text{(3)} \quad & \lnot P_{31} \\ \text{(4)} \quad & P_{8} \\ \text{(5)} \quad & P_{1} \\ \text{(6)} \quad & P_{2} \\ \text{(7)} \quad & P_{3} \\ \text{(8)} \quad & P_{4} \\ \text{(9)} \quad & P_{5} \\ \text{(10)} \quad & P_{17} \\ \text{(11)} \quad & P_{9} \\ \text{(12)} \quad & P_{20} \\ \text{(13)} \quad & P_{21} \\ \text{(14)} \quad & P_{24} \\ \text{(15)} \quad & P_{34} \\ \text{(16)} \quad & (P_{2} \land P_{3} \land P_{8} \land P_{7} \land P_{6}) \rightarrow P_{25} \\ \text{(17)} \quad & (\lnot P_{31} \land P_{8}) \rightarrow P_{6} \\ \text{(18)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(19)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(20)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(21)} \quad & P_{25} \rightarrow P_{26} \\ \text{(22)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

dominicalCase — Luke 7:50: "your faith has saved you"

Luke's case: what Jesus says at Luke 7:50, and no more. "Your faith has saved you", read with σῴζω as salvation and the woman's love (7:47) as the evidence of her forgiveness rather than its ground: her faith sufficed.

It carries nothing Luke does not say — not Paul's texts, not the answer to James, not the Reformed account of what justification is — and it does not claim what Paul argues, that faith alone saves. So it is attacked only by what denies Luke's own claim.

\[ \begin{aligned} \text{(1)} \quad & P_{17} \\ \text{(2)} \quad & P_{18} \\ \text{(3)} \quad & P_{19} \\ \text{(4)} \quad & (P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26} \\[4pt] \vdash \quad & P_{26} \end{aligned} \]

No premise here rests on scripture alone.

apostolicCase — Sola fide from Peter (Acts 15:9–11)

The apostolic strand, argued alone: sola fide from Peter at Jerusalem.

\[ \begin{aligned} \text{(1)} \quad & P_{10} \\ \text{(2)} \quad & P_{1} \\ \text{(3)} \quad & P_{2} \\ \text{(4)} \quad & P_{3} \\ \text{(5)} \quad & P_{4} \\ \text{(6)} \quad & P_{5} \\ \text{(7)} \quad & P_{17} \\ \text{(8)} \quad & P_{9} \\ \text{(9)} \quad & P_{20} \\ \text{(10)} \quad & P_{21} \\ \text{(11)} \quad & P_{24} \\ \text{(12)} \quad & P_{34} \\ \text{(13)} \quad & (P_{9} \land P_{10}) \rightarrow P_{26} \\ \text{(14)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(15)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(16)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(17)} \quad & P_{25} \rightarrow P_{26} \\ \text{(18)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

No premise here rests on scripture alone.

apocalypticCase — Apocalyptic reading, against faith as the condition

The apocalyptic reading, as the argument it makes: faith is not the condition of justification. It keeps grace and "not by works", by its own step.

\[ \begin{aligned} \text{(1)} \quad & \lnot P_{7} \\ \text{(2)} \quad & P_{16} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{8} \\ \text{(5)} \quad & (\lnot P_{7} \land P_{16}) \rightarrow \lnot P_{25} \\ \text{(6)} \quad & P_{16} \rightarrow P_{27} \land P_{28} \\ \text{(7)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & \lnot P_{25} \end{aligned} \]

No premise here rests on scripture alone.

sandersCase — Covenantal nomism (Sanders, Dunn)

Sanders and Dunn: covenantal nomism, so ἔργα νόμου are the boundary markers.

\[ \begin{aligned} \text{(1)} \quad & P_{31} \\ \text{(2)} \quad & P_{31} \rightarrow \lnot P_{6} \\[4pt] \vdash \quad & \lnot P_{6} \end{aligned} \]

No premise here rests on scripture alone.

criticsCase — Variegated nomism (Gathercole, Carson et al.)

Gathercole and Variegated Nomism: not covenantal nomism, so ἔργα νόμου are works in general.

\[ \begin{aligned} \text{(1)} \quad & \lnot P_{31} \\ \text{(2)} \quad & P_{8} \\ \text{(3)} \quad & (\lnot P_{31} \land P_{8}) \rightarrow P_{6} \\[4pt] \vdash \quad & P_{6} \end{aligned} \]

No premise here rests on scripture alone.

jervellCase — Law-observant Luke (Jervell)

Jervell: Luke is law-observant, so the yoke is not the law as a condition of salvation.

\[ \begin{aligned} \text{(1)} \quad & P_{11} \\ \text{(2)} \quad & P_{11} \rightarrow \lnot P_{10} \\[4pt] \vdash \quad & \lnot P_{10} \end{aligned} \]

No premise here rests on scripture alone.

Each position holds together and delivers its conclusion

paulineCase_establishes

The Pauline case delivers sola fide.

theorem paulineCase_establishes : Establishes paulineCase
-- axioms: propext, Quot.sound

paulineCase_is_satisfiable

The Pauline case has a model.

theorem paulineCase_is_satisfiable : Satisfiable paulineCase.premises
-- axioms: propext, Quot.sound

dominicalCase_establishes

The dominical case delivers sola fide.

theorem dominicalCase_establishes : Establishes dominicalCase
-- axioms: propext, Quot.sound

dominicalCase_is_satisfiable

The dominical case has a model.

theorem dominicalCase_is_satisfiable : Satisfiable dominicalCase.premises
-- axioms: propext, Quot.sound

apostolicCase_establishes

The apostolic case delivers sola fide.

theorem apostolicCase_establishes : Establishes apostolicCase
-- axioms: propext, Quot.sound

apostolicCase_is_satisfiable

The apostolic case has a model.

theorem apostolicCase_is_satisfiable : Satisfiable apostolicCase.premises
-- axioms: propext, Quot.sound

tridentineCase_establishes

Trent's case delivers its conclusion: salvation is not apart from works.

theorem tridentineCase_establishes : Establishes tridentineCase
-- axioms: propext, Quot.sound

tridentineCase_is_satisfiable

Trent's case has a model.

theorem tridentineCase_is_satisfiable : Satisfiable tridentineCase.premises
-- axioms: propext, Quot.sound

Where Trent's objection comes from

Trent's objection to "not by works" is not a separate thesis about works. It follows from what Trent says justification is: the renewal of the inward man, not remission of sins only (ch. 7). Grant that, grant that the renewal grows as the justified do good works (ch. 10), and good works increase justification (canon 24), which denies "not by works" (ch. 16). The Reformed grant the growth — Westminster XIII.1 calls it sanctification — and deny the definition.

tridentineCaseOnTheReformedDistinction — Trent, on the Reformed distinction

Trent's case with its definition of justification exchanged for the Reformed distinction: everything else Trent holds, including that the renewal grows through good works, and justification and sanctification distinct.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{2} \\ \text{(3)} \quad & P_{3} \\ \text{(4)} \quad & P_{5} \\ \text{(5)} \quad & P_{24} \\ \text{(6)} \quad & P_{35} \\ \text{(7)} \quad & (P_{33} \land P_{35}) \rightarrow P_{32} \\ \text{(8)} \quad & P_{33} \rightarrow \lnot P_{30} \\ \text{(9)} \quad & P_{33} \rightarrow \lnot P_{34} \\ \text{(10)} \quad & P_{33} \rightarrow \lnot P_{26} \\ \text{(11)} \quad & P_{32} \rightarrow \lnot P_{28} \\ \text{(12)} \quad & P_{34} \\[4pt] \vdash \quad & \lnot P_{28} \end{aligned} \]

No premise here rests on scripture alone.

reformedDistinctionReading

Trent's world, with the Reformed distinction in place of its definition: the renewal grows, but it is sanctification, so it increases nothing called justification, and salvation is not by works.

def reformedDistinctionReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.justificationIncludesSanctification => False
    | Claim.worksMeritIncreaseOfJustification => False
    | x => True

trent_objection_rests_on_its_definition

Trent's objection rests on its definition of justification. Keep all of Trent's case except its definition, grant the Reformed distinction instead, and "not apart from works" no longer follows — though both sides still hold that the renewal of the justified grows through good works. So the dispute over works is, at bottom, a dispute over what justification is: whether the renewal that grows is justification or the sanctification that follows it.

theorem trent_objection_rests_on_its_definition : ¬Establishes
    tridentineCaseOnTheReformedDistinction
-- axioms: propext, Quot.sound

apocalypticCase_establishes

The apocalyptic case delivers its conclusion.

theorem apocalypticCase_establishes : Establishes apocalypticCase
-- axioms: propext, Quot.sound

apocalypticCase_is_satisfiable

The apocalyptic case has a model.

theorem apocalypticCase_is_satisfiable : Satisfiable apocalypticCase.premises
-- axioms: propext, Quot.sound

sandersCase_establishes

Sanders' case delivers its conclusion.

theorem sandersCase_establishes : Establishes sandersCase
-- axioms: propext, Quot.sound

sandersCase_is_satisfiable

Sanders' case has a model.

theorem sandersCase_is_satisfiable : Satisfiable sandersCase.premises
-- axioms: propext, Quot.sound

criticsCase_establishes

The critics' case delivers its conclusion.

theorem criticsCase_establishes : Establishes criticsCase
-- axioms: propext, Quot.sound

criticsCase_is_satisfiable

The critics' case has a model.

theorem criticsCase_is_satisfiable : Satisfiable criticsCase.premises
-- axioms: propext, Quot.sound

jervellCase_establishes

Jervell's case delivers its conclusion.

theorem jervellCase_establishes : Establishes jervellCase
-- axioms: propext, Quot.sound

jervellCase_is_satisfiable

Jervell's case has a model.

theorem jervellCase_is_satisfiable : Satisfiable jervellCase.premises
-- axioms: propext, Quot.sound

Every party but two rests on something cited disputed, or denies an atom, which ranks at the bottom; so its strength is 0, and no rating blocks an attack between two of them. The exceptions are the two routes to Paul's word, the lexical case and Romans 4 read for the word: every link of each is rated wellSupported or better. So an attack on either from a party at the bottom does not defeat it, and its attack on such a party does.

paulineCase_strength

The Pauline case rests on its lexical premises, cited disputed, as well as on the Reformed distinction.

theorem paulineCase_strength : paulineCase.strength = 0
-- axioms: propext

dominicalCase_strength

The dominical case rests on the Reformed distinction, cited disputed, and on an inference Trent's canon 9 denies. Its own two premises rank higher: σῴζω wellSupported, and the reading of 7:47 plausible.

theorem dominicalCase_strength : dominicalCase.strength = 0
-- axioms: propext

apostolicCase_strength

The apostolic case rests on the yoke premise, cited disputed.

theorem apostolicCase_strength : apostolicCase.strength = 0
-- axioms: propext

tridentineCase_strength

Trent rests on its definition of justification, cited disputed.

theorem tridentineCase_strength : tridentineCase.strength = 0
-- axioms: propext

apocalypticCase_strength

The apocalyptic case denies the objective genitive.

theorem apocalypticCase_strength : apocalypticCase.strength = 0
-- axioms: propext

sandersCase_strength

Sanders' case rests on covenantal nomism, cited disputed.

theorem sandersCase_strength : sandersCase.strength = 0
-- axioms: propext

criticsCase_strength

The critics' case denies covenantal nomism.

theorem criticsCase_strength : criticsCase.strength = 0
-- axioms: propext

jervellCase_strength

Jervell's step is contested, by Bruce.

theorem jervellCase_strength : jervellCase.strength = 0
-- axioms: propext

galatianGospel_strength

Paul's gospel rests on its reading of Galatians and on the step from a verdict to "renewal is no part of justification", both cited disputed.

theorem galatianGospel_strength : galatianGospel.strength = 0
-- axioms: propext

lexicalCase_strength

Paul's word does not rest on anything disputed. The forensic sense and the rule of least meaning are wellSupported, Paul's own words for renewal are consensus, and so is no step: the step from them is wellSupported. Its weakest link ranks 2, above the bottom.

theorem lexicalCase_strength : lexicalCase.strength = 2
-- axioms: propext

tridentineOnPaulsWord_strength

Trent read as a claim about Paul's word rests on everything Trent does.

theorem tridentineOnPaulsWord_strength : tridentineOnPaulsWord.strength = 0
-- axioms: propext

romansFourOnTheWord_strength

Nor does Romans 4, read for Paul's word. Its texts are rated wellSupported or better, and so are the sense of λογίζομαι, Paul's gloss, the rule of least meaning and both steps. Its weakest link ranks 2.

theorem romansFourOnTheWord_strength : romansFourOnTheWord.strength = 2
-- axioms: propext

The defeats

Each is decided from the two packages' premises by Horn.defeats? and checked by the kernel: the attack, and the comparison of strengths.

trent_defeats_pauline

Trent defeats the Pauline case. It entails the denial of "not by works", so it rebuts sola fide.

theorem trent_defeats_pauline : Defeats tridentineCase paulineCase
-- axioms: propext, Classical.choice, Quot.sound

trent_defeats_dominical

Trent defeats the dominical case, on the same rebuttal.

theorem trent_defeats_dominical : Defeats tridentineCase dominicalCase
-- axioms: propext, Classical.choice, Quot.sound

trent_defeats_apostolic

Trent defeats the apostolic case, on the same rebuttal.

theorem trent_defeats_apostolic : Defeats tridentineCase apostolicCase
-- axioms: propext, Classical.choice, Quot.sound

pauline_defeats_trent

The Pauline case defeats Trent back. It entails "not by works", which Trent denies.

theorem pauline_defeats_trent : Defeats paulineCase tridentineCase
-- axioms: propext, Classical.choice, Quot.sound

dominical_defeats_trent

The dominical case defeats Trent back.

theorem dominical_defeats_trent : Defeats dominicalCase tridentineCase
-- axioms: propext, Classical.choice, Quot.sound

apostolic_defeats_trent

The apostolic case defeats Trent back.

theorem apostolic_defeats_trent : Defeats apostolicCase tridentineCase
-- axioms: propext, Classical.choice, Quot.sound

apocalyptic_defeats_trent

The apocalyptic reading defeats Trent. It holds "not by works" by its own step — God's deliverance is conditioned on nothing a person does — and Trent denies it.

theorem apocalyptic_defeats_trent : Defeats apocalypticCase tridentineCase
-- axioms: propext, Classical.choice, Quot.sound

apocalyptic_defeats_pauline

The apocalyptic reading defeats the Pauline case. It denies the objective genitive, a premise of Paul's strand cited disputed.

theorem apocalyptic_defeats_pauline : Defeats apocalypticCase paulineCase
-- axioms: propext, Classical.choice, Quot.sound

pauline_defeats_apocalyptic

The Pauline case defeats the apocalyptic reading back. It entails justification by faith alone.

theorem pauline_defeats_apocalyptic : Defeats paulineCase apocalypticCase
-- axioms: propext, Classical.choice, Quot.sound

dominical_does_not_defeat_apocalyptic

The dominical case does not defeat the apocalyptic reading. Luke 7:50 says that faith saved her, not that faith alone does; the apocalyptic reading grants that faith saves, and denies only that faith is the condition. So Luke's case entails nothing the apocalyptic reading denies (luke_grants_the_apocalyptic_conclusion).

theorem dominical_does_not_defeat_apocalyptic : ¬Defeats dominicalCase
    apocalypticCase
-- axioms: propext, Classical.choice, Quot.sound

apostolic_does_not_defeat_apocalyptic

Nor does the apostolic case, for the same reason: Peter at Jerusalem says faith suffices, not that it alone does (peter_grants_the_apocalyptic_conclusion).

theorem apostolic_does_not_defeat_apocalyptic : ¬Defeats apostolicCase
    apocalypticCase
-- axioms: propext, Classical.choice, Quot.sound

sanders_defeats_pauline

Sanders defeats the Pauline case. Covenantal nomism, with Dunn's inference, denies the ἔργα νόμου premise.

theorem sanders_defeats_pauline : Defeats sandersCase paulineCase
-- axioms: propext, Classical.choice, Quot.sound

pauline_defeats_sanders

The Pauline case defeats Sanders back. It holds the premise Sanders' conclusion denies.

theorem pauline_defeats_sanders : Defeats paulineCase sandersCase
-- axioms: propext, Classical.choice, Quot.sound

sanders_defeats_critics

Sanders defeats the critics. Their conclusions contradict.

theorem sanders_defeats_critics : Defeats sandersCase criticsCase
-- axioms: propext, Classical.choice, Quot.sound

critics_defeat_sanders

The critics defeat Sanders. They deny covenantal nomism, his ground.

theorem critics_defeat_sanders : Defeats criticsCase sandersCase
-- axioms: propext, Classical.choice, Quot.sound

jervell_defeats_apostolic

Jervell defeats the apostolic case. He denies the yoke premise.

theorem jervell_defeats_apostolic : Defeats jervellCase apostolicCase
-- axioms: propext, Classical.choice, Quot.sound

apostolic_defeats_jervell

The apostolic case defeats Jervell back. It holds the premise his conclusion denies.

theorem apostolic_defeats_jervell : Defeats apostolicCase jervellCase
-- axioms: propext, Classical.choice, Quot.sound

What does not defeat

Most pairs of parties are compatible: some world holds both, and seven such worlds are named below (Dispute.StandTogether) — the readings on which whole groups of positions can be held at once. Three pairs conflict in one direction only. All of them, like every cell of the table, are decided by Horn.defeats? from the premises.

criticsJervellReading

The critics' world with Jervell's: covenantal nomism fails, and the yoke is Israel's law for gentiles. The Pauline and dominical cases hold in it. Faith the only means and justification forensic only, it denies Trent's baptism as the instrument and justification as including sanctification.

def criticsJervellReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.secondTempleCovenantalNomism => False
    | Claim.acts15YokeIsLawAsCondition => False
    | Claim.baptismIsInstrumentalCause => False
    | Claim.justificationIncludesSanctification => False
    | x => True

trentSandersJervellReading

Trent's world with Sanders' and Jervell's. With Trent, it denies that faith is the only means of justification.

def trentSandersJervellReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.worksOfLawMeansWorksGenerally => False
    | Claim.acts15YokeIsLawAsCondition => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | Claim.justificationByFaithAlone => False
    | x => True

trentCriticsJervellReading

Trent's world with the critics' and Jervell's. With Trent, it denies that faith is the only means of justification.

def trentCriticsJervellReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.secondTempleCovenantalNomism => False
    | Claim.acts15YokeIsLawAsCondition => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | Claim.justificationByFaithAlone => False
    | x => True

apocalypticSandersJervellReading

The apocalyptic world with Sanders' and Jervell's. Justification is forensic only here, as in every world but Trent's, so it does not include sanctification.

def apocalypticSandersJervellReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.pistisChristouObjective => False
    | Claim.justificationByFaithAlone => False
    | Claim.worksOfLawMeansWorksGenerally => False
    | Claim.acts15YokeIsLawAsCondition => False
    | Claim.justificationIncludesSanctification => False
    | x => True

apocalypticCriticsJervellReading

The apocalyptic world with the critics' and Jervell's. Justification is forensic only here, as in every world but Trent's, so it does not include sanctification.

def apocalypticCriticsJervellReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.pistisChristouObjective => False
    | Claim.justificationByFaithAlone => False
    | Claim.secondTempleCovenantalNomism => False
    | Claim.acts15YokeIsLawAsCondition => False
    | Claim.justificationIncludesSanctification => False
    | x => True

apocalyptic_does_not_defeat_dominical

The apocalyptic reading does not defeat the dominical case. It contradicts nothing the dominical case rests on — not Luke 7:50, not σῴζω, not the reading of 7:47 — and it does not deny its conclusion: it grants grace and "not by works", and it can grant that salvation is received through faith while denying that faith is its condition. Why, premise by premise: apocalyptic_grants_sola_fide_as_stated and apocalyptic_grants_the_dominical_step.

theorem apocalyptic_does_not_defeat_dominical : ¬Defeats apocalypticCase
    dominicalCase
-- axioms: propext, Classical.choice, Quot.sound

apocalyptic_does_not_defeat_apostolic

Nor the apostolic case, for the same reasons (apocalyptic_grants_the_apostolic_step).

theorem apocalyptic_does_not_defeat_apostolic : ¬Defeats apocalypticCase
    apostolicCase
-- axioms: propext, Classical.choice, Quot.sound

trent_defeats_apocalyptic

Trent defeats the apocalyptic reading. They agree on its conclusion — justification is not by faith alone — but the apocalyptic reading derives "not by works" on the way (God's deliverance is sheer gift, conditioned on nothing a person does), and Trent denies it: works done in grace merit an increase of justification. So Trent rebuts the apocalyptic reading on a claim it derives (RebutsStep).

theorem trent_defeats_apocalyptic : Defeats tridentineCase apocalypticCase
-- axioms: propext, Classical.choice, Quot.sound

gospel_defeats_trent

Paul's gospel defeats Trent. It entails the denial of Trent's definition — justification is not the renewal of the inward man — and so undermines Trent at that premise (whereTrentPartsFromPaul says where).

theorem gospel_defeats_trent : Defeats galatianGospel tridentineCase
-- axioms: propext, Classical.choice, Quot.sound

trent_defeats_gospel

Trent defeats Paul's gospel back, by the same contradiction from the other side: its definition rebuts the gospel line's conclusion, and both rest on something rated disputed.

theorem trent_defeats_gospel : Defeats tridentineCase galatianGospel
-- axioms: propext, Classical.choice, Quot.sound

lexical_defeats_trent_on_pauls_word

Paul's word defeats Trent read as a claim about it. Trent, so read, derives that δικαιόω denotes renewal; Paul's word entails that it does not, and so rebuts the step by which Trent derives it (RebutsStep). The attack succeeds because Trent's weakest link is not above the lexical case's.

theorem lexical_defeats_trent_on_pauls_word : Defeats lexicalCase
    tridentineOnPaulsWord
-- axioms: propext, Classical.choice, Quot.sound

trent_on_pauls_word_does_not_defeat_lexical

And the reply fails. Trent, read as a claim about Paul's word, attacks the lexical case's step in turn — but its weakest link is Trent's definition, rated disputed, and the lexical case's is wellSupported. A weaker argument's rebuttal does not defeat a stronger one.

theorem trent_on_pauls_word_does_not_defeat_lexical : ¬Defeats
    tridentineOnPaulsWord lexicalCase
-- axioms: propext, Classical.choice, Quot.sound

Why these are not counters

The absences above are computed, and a computation names no reason. The readings below do: each is a way of holding one position that leaves one premise or conclusion of another standing, and each result checks that the reading holds everything the first position holds as well.

apocalypticWithFaithReading

The apocalyptic world in which salvation is still received through faith — faith is not the condition, but it is the means. Grace and "not by works" hold. Justification is forensic only here, as in every world but Trent's, so it does not include sanctification.

def apocalypticWithFaithReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.pistisChristouObjective => False
    | Claim.justificationByFaithAlone => False
    | Claim.justificationIncludesSanctification => False
    | x => True

apocalyptic_grants_sola_fide_as_stated

The apocalyptic reading grants what the Reformed strands conclude. Grace, "not by works", and salvation received through faith all hold in its world; what it denies is that faith is the condition. So it rebuts neither Luke's case nor Acts'.

theorem apocalyptic_grants_sola_fide_as_stated : Grants apocalypticCase
    dominicalCase.conclusion
-- axioms: propext, Quot.sound

apocalyptic_grants_the_dominical_step

The apocalyptic reader grants the dominical step outright. Luke's step delivers that faith suffices — "your faith has saved you" — and the apocalyptic world holds that: faith is the means, though not the condition.

theorem apocalyptic_grants_the_dominical_step : Grants apocalypticCase
    dominicalToSufficiency
-- axioms: propext, Quot.sound

apocalyptic_grants_the_apostolic_step

And the apostolic step, for the same reason: Peter says faith suffices, and the apocalyptic reading does not deny it.

theorem apocalyptic_grants_the_apostolic_step : Grants apocalypticCase
    apostolicToSufficiency
-- axioms: propext, Quot.sound

lukeWithoutAloneReading

Luke's world without alone: every premise of the dominical case, faith sufficient, and justification not by faith alone — because nothing Luke says excludes another condition. Justification is forensic only here, as in every world but Trent's, so it does not include sanctification.

def lukeWithoutAloneReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.justificationByFaithAlone => False
    | Claim.justificationIncludesSanctification => False
    | x => True

luke_grants_the_apocalyptic_conclusion

Luke's case grants the apocalyptic conclusion. Everything the dominical case holds is compatible with justification not being by faith alone, so it does not rebut the apocalyptic reading. Only Paul's case, which argues for alone, does.

theorem luke_grants_the_apocalyptic_conclusion : Grants dominicalCase
    apocalypticCase.conclusion
-- axioms: propext, Quot.sound

peter_grants_the_apocalyptic_conclusion

And Peter's case.

theorem peter_grants_the_apocalyptic_conclusion : Grants apostolicCase
    apocalypticCase.conclusion
-- axioms: propext, Quot.sound

trentWithoutDeliveranceReading

Trent's world, with the objective genitive and the apocalyptic reading of δικαιοσύνη θεοῦ both denied. With Trent, it denies that faith is the only means of justification.

def trentWithoutDeliveranceReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.pistisChristouObjective => False
    | Claim.righteousnessOfGodIsDeliverance => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | Claim.justificationByFaithAlone => False
    | x => True

trent_grants_the_subjective_genitive

Trent can grant the subjective genitive. Nothing Trent holds settles how πίστις Χριστοῦ is read, so the apocalyptic reading's denial of the objective genitive stands against Trent unanswered.

theorem trent_grants_the_subjective_genitive : Grants tridentineCase (notP
    Claim.pistisChristouObjective)
-- axioms: propext, Quot.sound

trentWithoutFaithAloneReading

Trent's world, in which justification is not by faith alone — the apocalyptic reading's conclusion, which Trent shares.

def trentWithoutFaithAloneReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.justificationByFaithAlone => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | x => True

trent_grants_the_apocalyptic_conclusion

Trent grants the apocalyptic reading's conclusion: justification is not by faith alone. They agree on it for different reasons, so Trent does not rebut the apocalyptic reading.

theorem trent_grants_the_apocalyptic_conclusion : Grants tridentineCase
    apocalypticCase.conclusion
-- axioms: propext, Quot.sound

The dispute

partyNode

The package each party argues from.

def partyNode : Party → ArgumentPackage Claim :=
  fun x =>
    match x with
    | Party.pauline => paulineCase
    | Party.dominical => dominicalCase
    | Party.apostolic => apostolicCase
    | Party.trent => tridentineCase
    | Party.apocalyptic => apocalypticCase
    | Party.sanders => sandersCase
    | Party.critics => criticsCase
    | Party.jervell => jervellCase
    | Party.gospel => galatianGospel
    | Party.lexical => lexicalCase
    | Party.trentOnPaulsWord => tridentineOnPaulsWord
    | Party.romansOnTheWord => romansFourOnTheWord

solaFideDispute

The dispute over sola fide: every party's premises have a model, every party establishes its conclusion, and every party's inferences are rated.

def solaFideDispute : Dispute Claim Party :=
  { node := partyNode, consistent := solaFideDispute._proof_1,
    sound := solaFideDispute._proof_2,
    rated := solaFideDispute._proof_15 }

reformed_strands_stand_with_the_critics

The Reformed strands and the critics stand together, where covenantal nomism fails and everything else holds.

theorem reformed_strands_stand_with_the_critics :
    solaFideDispute.StandTogether [Party.pauline, Party.dominical,
    Party.apostolic, Party.critics]
-- axioms: propext, Classical.choice, Quot.sound

paul_and_luke_stand_with_jervell

Paul and Luke stand with the critics and with Jervell.

theorem paul_and_luke_stand_with_jervell : solaFideDispute.StandTogether
    [Party.pauline, Party.dominical, Party.jervell, Party.critics]
-- axioms: propext, Classical.choice, Quot.sound

luke_and_acts_stand_with_sanders

Luke and Acts stand with Sanders: neither rests on ἔργα νόμου.

theorem luke_and_acts_stand_with_sanders : solaFideDispute.StandTogether
    [Party.dominical, Party.apostolic, Party.sanders]
-- axioms: propext, Classical.choice, Quot.sound

trent_stands_with_sanders_and_jervell

Trent stands with Sanders and Jervell.

theorem trent_stands_with_sanders_and_jervell : solaFideDispute.StandTogether
    [Party.trent, Party.sanders, Party.jervell]
-- axioms: propext, Classical.choice, Quot.sound

trent_stands_with_the_critics_and_jervell

Trent stands with the critics and Jervell.

theorem trent_stands_with_the_critics_and_jervell :
    solaFideDispute.StandTogether [Party.trent, Party.critics, Party.jervell]
-- axioms: propext, Classical.choice, Quot.sound

apocalyptic_stands_with_sanders_and_jervell

The apocalyptic reading stands with Sanders and Jervell.

theorem apocalyptic_stands_with_sanders_and_jervell :
    solaFideDispute.StandTogether [Party.apocalyptic, Party.sanders,
    Party.jervell]
-- axioms: propext, Classical.choice, Quot.sound

apocalyptic_stands_with_the_critics_and_jervell

The apocalyptic reading stands with the critics and Jervell.

theorem apocalyptic_stands_with_the_critics_and_jervell :
    solaFideDispute.StandTogether [Party.apocalyptic, Party.critics,
    Party.jervell]
-- axioms: propext, Classical.choice, Quot.sound

partyDefeats

The defeats of the dispute, as a table.

def partyDefeats : Party → Party → Prop

instDecidableRelPartyPartyDefeats

The table is finite, so membership in it is decidable.

def instDecidableRelPartyPartyDefeats : DecidableRel partyDefeats

partyStrength

Each party's weakest link: at the bottom for all but Paul's word.

def partyStrength : Party → ℕ :=
  fun x =>
    match x with
    | Party.lexical => 2
    | Party.romansOnTheWord => 2
    | x => 0

partyNode_strength

Each party's weakest link, as its package computes it.

theorem partyNode_strength : ∀ (i : Party), (partyNode i).strength =
    partyStrength i
-- axioms: propext

solaFideDispute_defeats

Who defeats whom, all 144 pairs. Trent and each Reformed strand defeat each other. The apocalyptic reading and Paul defeat each other; it and Luke's and Acts' cases do not conflict; it and Trent defeat each other. Sanders defeats Paul and the critics, and both defeat him back. Jervell and Acts defeat each other. Paul's gospel and Trent defeat each other, over Trent's definition. Trent read as a claim about Paul's word meets everyone Trent meets, both ways, and two parties more: Paul's word defeats it, lexically and from Romans 4, and it defeats neither back — its replies are weighed and fail. Nothing else.

Every cell is computed from the parties' premises by Horn.defeats? and checked by the kernel — the defeats, and the absences of defeat, alike. The table above is what the computation is checked against; none of it is assumed.

theorem solaFideDispute_defeats : ∀ (i j : Party), solaFideDispute.defeats i j
    ↔ partyDefeats i j
-- axioms: propext, Classical.choice, Quot.sound

solaFideFinite

The dispute in the form the verdict solver computes with: every party, and the table.

def solaFideFinite : Solver.Finite solaFideDispute.defeats :=
  {
    parties :=
      [Party.pauline, Party.dominical,
        Party.apostolic, Party.trent,
        Party.apocalyptic, Party.sanders,
        Party.critics, Party.jervell, Party.gospel,
        Party.lexical, Party.trentOnPaulsWord,
        Party.romansOnTheWord],
    complete := solaFideFinite._proof_1,
    defeats := fun i j => decide (partyDefeats i j),
    spec := solaFideFinite._proof_2 }

The dispute as a graph

solaFideDispute_supports

Nothing supports anything in the sola fide dispute, in all 144 pairs: no party's conclusion entails a claim another rests on. The critics' conclusion used to be one of Paul's premises; now the Pauline case rests on the critics' whole line instead (paulineCase), and the relation is the stronger one below. The Reformed strands, which share their conclusion, agree rather than support (see Testimony.Logic.Support). Every cell is computed by supports? and checked by the kernel.

theorem solaFideDispute_supports : ∀ (i j : Party), ¬solaFideDispute.supports
    i j
-- axioms: propext, Classical.choice, Quot.sound

partyPartOf

Whose case is part of whose, as a table: besides each party's own, two pairs.

def partyPartOf : Party → Party → Prop :=
  fun x x_1 =>
    match x, x_1 with
    | Party.critics, Party.pauline => True
    | Party.trent, Party.trentOnPaulsWord => True
    | i, j => i = j

instDecidableRelPartyPartyPartOf

The table is finite, so membership in it is decidable.

def instDecidableRelPartyPartyPartOf : DecidableRel partyPartOf

solaFideDispute_partOf

Whose case is part of whose, all 144 pairs: the critics' case is part of Paul's, since the Pauline case derives its ἔργα νόμου premise from the critics' line; Trent's case is part of Trent's read as a claim about Paul's word, which only adds to it; and every case is part of itself. Nothing else. Every cell is computed by partOf? and checked by the kernel.

theorem solaFideDispute_partOf : ∀ (i j : Party), solaFideDispute.partOf i j ↔
    partyPartOf i j
-- axioms: propext, Classical.choice, Quot.sound

solaFideMap

The dispute drawn: who defeats whom, and whose case is part of whose.

1 2 3 4 5 6 7 8 9 10 11 12

Solid red: defeats. Dashed green: supports. Dotted blue: one party's case is part of another's.

#Party
1Sola fide from Paul (Galatians 2:16)
2Luke 7:50: "your faith has saved you"
3Sola fide from Peter (Acts 15:9–11)
4Trent, against 'not by works'
5Apocalyptic reading, against faith as the condition
6Covenantal nomism (Sanders, Dunn)
7Variegated nomism (Gathercole, Carson et al.)
8Law-observant Luke (Jervell)
9Paul's gospel (Galatians 1), against justification as renewal
10Paul's word (δικαιόω, by the rule of least meaning)
11Trent, against 'not by works', read as what Paul's word means
12Romans 4:3–8, on Paul's word (by the rule of least meaning)
FromToEdge
1 Sola fide from Paul (Galatians 2:16)4 Trent, against 'not by works'defeats
1 Sola fide from Paul (Galatians 2:16)5 Apocalyptic reading, against faith as the conditiondefeats
1 Sola fide from Paul (Galatians 2:16)6 Covenantal nomism (Sanders, Dunn)defeats
1 Sola fide from Paul (Galatians 2:16)11 Trent, against 'not by works', read as what Paul's word meansdefeats
2 Luke 7:50: "your faith has saved you"4 Trent, against 'not by works'defeats
2 Luke 7:50: "your faith has saved you"11 Trent, against 'not by works', read as what Paul's word meansdefeats
3 Sola fide from Peter (Acts 15:9–11)4 Trent, against 'not by works'defeats
3 Sola fide from Peter (Acts 15:9–11)8 Law-observant Luke (Jervell)defeats
3 Sola fide from Peter (Acts 15:9–11)11 Trent, against 'not by works', read as what Paul's word meansdefeats
4 Trent, against 'not by works'1 Sola fide from Paul (Galatians 2:16)defeats
4 Trent, against 'not by works'2 Luke 7:50: "your faith has saved you"defeats
4 Trent, against 'not by works'3 Sola fide from Peter (Acts 15:9–11)defeats
4 Trent, against 'not by works'5 Apocalyptic reading, against faith as the conditiondefeats
4 Trent, against 'not by works'9 Paul's gospel (Galatians 1), against justification as renewaldefeats
5 Apocalyptic reading, against faith as the condition1 Sola fide from Paul (Galatians 2:16)defeats
5 Apocalyptic reading, against faith as the condition4 Trent, against 'not by works'defeats
5 Apocalyptic reading, against faith as the condition11 Trent, against 'not by works', read as what Paul's word meansdefeats
6 Covenantal nomism (Sanders, Dunn)1 Sola fide from Paul (Galatians 2:16)defeats
6 Covenantal nomism (Sanders, Dunn)7 Variegated nomism (Gathercole, Carson et al.)defeats
7 Variegated nomism (Gathercole, Carson et al.)6 Covenantal nomism (Sanders, Dunn)defeats
8 Law-observant Luke (Jervell)3 Sola fide from Peter (Acts 15:9–11)defeats
9 Paul's gospel (Galatians 1), against justification as renewal4 Trent, against 'not by works'defeats
9 Paul's gospel (Galatians 1), against justification as renewal11 Trent, against 'not by works', read as what Paul's word meansdefeats
10 Paul's word (δικαιόω, by the rule of least meaning)11 Trent, against 'not by works', read as what Paul's word meansdefeats
11 Trent, against 'not by works', read as what Paul's word means1 Sola fide from Paul (Galatians 2:16)defeats
11 Trent, against 'not by works', read as what Paul's word means2 Luke 7:50: "your faith has saved you"defeats
11 Trent, against 'not by works', read as what Paul's word means3 Sola fide from Peter (Acts 15:9–11)defeats
11 Trent, against 'not by works', read as what Paul's word means5 Apocalyptic reading, against faith as the conditiondefeats
11 Trent, against 'not by works', read as what Paul's word means9 Paul's gospel (Galatians 1), against justification as renewaldefeats
12 Romans 4:3–8, on Paul's word (by the rule of least meaning)11 Trent, against 'not by works', read as what Paul's word meansdefeats
4 Trent, against 'not by works'11 Trent, against 'not by works', read as what Paul's word meansis part of
7 Variegated nomism (Gathercole, Carson et al.)1 Sola fide from Paul (Galatians 2:16)is part of
1 Sola fide from Paul (Galatians 2:16)11 Trent, against 'not by works', read as what Paul's word meansattack on a part — already a defeat
2 Luke 7:50: "your faith has saved you"11 Trent, against 'not by works', read as what Paul's word meansattack on a part — already a defeat
3 Sola fide from Peter (Acts 15:9–11)11 Trent, against 'not by works', read as what Paul's word meansattack on a part — already a defeat
5 Apocalyptic reading, against faith as the condition11 Trent, against 'not by works', read as what Paul's word meansattack on a part — already a defeat
6 Covenantal nomism (Sanders, Dunn)1 Sola fide from Paul (Galatians 2:16)attack on a part — already a defeat
9 Paul's gospel (Galatians 1), against justification as renewal11 Trent, against 'not by works', read as what Paul's word meansattack on a part — already a defeat

The defeats are the cells of solaFideDispute_defeats, the supports the cells of solaFideDispute_supports and the parts the cells of solaFideDispute_partOf, each computed from the parties' premises and checked by the kernel. The attacks derived through support and through parts are reported, not counted: every verdict is computed from the defeats alone. Every derived attack is already a defeat.

What the dispute decides

onlyPaulsWordUnanswered

How the dispute is settled as far as it can be, in one stage: nothing defeats either route to Paul's word, so both come first; and nothing joins them, because every other party has an attacker that Paul's word does not rule out — each Reformed strand has Trent, Trent has Paul's case, the apocalyptic reading has Paul's case, Sanders has the critics and the critics Sanders, Jervell has Peter's case, Paul's gospel has Trent, and Trent read as a claim about Paul's word has Paul's word itself. Some of these are standoffs, not losses: Paul's gospel answers Trent as Trent answers it.

What the dispute forces is exactly Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning).

  • Stage 1: Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning).
    • Paul's word (δικαιόω, by the rule of least meaning) is defeated by nothing.
    • Romans 4:3–8, on Paul's word (by the rule of least meaning) is defeated by nothing.
  • Nothing else is forced:
    • Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16), and nothing forced defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and nothing forced defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11), and nothing forced defeats Trent, against 'not by works'.
    • Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', and nothing forced defeats Sola fide from Paul (Galatians 2:16).
    • Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition, and nothing forced defeats Sola fide from Paul (Galatians 2:16).
    • Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn), and nothing forced defeats Variegated nomism (Gathercole, Carson et al.).
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and nothing forced defeats Covenantal nomism (Sanders, Dunn).
    • Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell), and nothing forced defeats Sola fide from Peter (Acts 15:9–11).
    • Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal, and nothing forced defeats Trent, against 'not by works'.
    • Paul's word (δικαιόω, by the rule of least meaning) defeats Trent, against 'not by works', read as what Paul's word means, and nothing forced defeats Paul's word (δικαιόω, by the rule of least meaning).

What this rests on. The reasons state 10 defeats and 34 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Paul's word (δικαιόω, by the rule of least meaning) defeats Trent, against 'not by works', read as what Paul's word means, at the level of the claims: whereTrentsWordReadingFalls.

only_pauls_word_prevails

Only Paul's word prevails outright. The grounded extension — what the dispute forces before any choice between rivals — is exactly Paul's word, by its two routes: Paul's δικαιόω does not denote the renewal of the inward man, by the lexical case and by the exegesis of Romans 4. Nothing defeats either: the one party that contradicts them, Trent read as a claim about Paul's word, rests on a definition rated disputed, and its replies fail against cases whose every link is rated wellSupported or better. Nothing else is forced: every other party is attacked by someone the dispute cannot rule out, whether it loses outright or stands off against a rival the dispute cannot choose between.

theorem only_pauls_word_prevails : Framework.grounded solaFideDispute.defeats
    = {Party.lexical, Party.romansOnTheWord}
-- axioms: propext, Classical.choice, Quot.sound

trentsWordReadingAnswered

Why Trent, read as a claim about Paul's word, cannot be defended: Paul's word defeats it, and nothing defeats Paul's word. (Romans 4, read for the word, does too; one unanswered defeater is enough.)

Trent, against 'not by works', read as what Paul's word means cannot be defended: no admissible position holds it.

  • Paul's word (δικαιόω, by the rule of least meaning) defeats Trent, against 'not by works', read as what Paul's word means, and nothing defeats Paul's word (δικαιόω, by the rule of least meaning).

What this rests on. The reasons state 1 defeat and 12 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Paul's word (δικαιόω, by the rule of least meaning) defeats Trent, against 'not by works', read as what Paul's word means, at the level of the claims: whereTrentsWordReadingFalls.

trent_on_pauls_word_indefensible

Trent, read as a claim about Paul's word, cannot be defended. No admissible set holds it: Paul's word defeats it, lexically and from Romans 4, and nothing answers either. This is the first horn of whatTrentsDefinitionClaims, weighed: if Trent's definition says what Paul's δικαιόω means, it cannot be held, for a stated and cited reason, at a step rated wellSupported.

theorem trent_on_pauls_word_indefensible : ∀ (S : Set Party),
    Framework.Admissible solaFideDispute.defeats S → Party.trentOnPaulsWord ∉
    S
-- axioms: propext, Classical.choice, Quot.sound

trentStandsWithSandersAndJervell

Why Trent can be defended: it stands with Sanders and Jervell, and answers every party that attacks it itself — each Reformed strand, Paul's gospel, and the apocalyptic reading, whose derived "not by works" it denies.

Trent, against 'not by works' is accepted on some resolution.

  • A position holding Trent, against 'not by works', Covenantal nomism (Sanders, Dunn), Law-observant Luke (Jervell) can be held.
  • None of Trent, against 'not by works', Covenantal nomism (Sanders, Dunn), Law-observant Luke (Jervell) defeats another, and each attack on them is answered from among them:
    • Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
    • Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you".
    • Sola fide from Peter (Acts 15:9–11) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11).
    • Apocalyptic reading, against faith as the condition defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Apocalyptic reading, against faith as the condition.
    • Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal.
    • Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn), and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
    • Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn), and Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.).
    • Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell), and Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11).

What this rests on. The reasons state 14 defeats and 28 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

Why Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', at the level of the claims: whereTrentPartsFromPaul.

trent_defensible

Trent can be defended. Some maximal defensible position holds it, with Sanders and Jervell. Every party that defeats Trent — Paul, Luke, Peter, Paul's gospel, the apocalyptic reading — Trent defeats back, and the ratings, all at the bottom, break no tie. Paul's word does not attack it: Trent's definition, unread, says nothing about what δικαιόω means. In particular Trent answers the apocalyptic reading: that reading derives "not by works" on the way to its conclusion, and Trent denies it (trent_defeats_apocalyptic).

theorem trent_defensible : Framework.CredulouslyAccepted
    solaFideDispute.defeats Party.trent
-- axioms: propext, Classical.choice, Quot.sound

trentAnsweredByPaul

Why Trent is not forced: a defensible position holds Paul, and Paul defeats Trent.

Trent, against 'not by works' is not accepted on every resolution.

  • A position holding Sola fide from Paul (Galatians 2:16), Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Variegated nomism (Gathercole, Carson et al.) can be held, and it holds Sola fide from Paul (Galatians 2:16); Sola fide from Paul (Galatians 2:16) conflicts with Trent, against 'not by works': Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
  • None of Sola fide from Paul (Galatians 2:16), Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Variegated nomism (Gathercole, Carson et al.) defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works'.
    • Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition.
    • Covenantal nomism (Sanders, Dunn) defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn).
    • Trent, against 'not by works', read as what Paul's word means defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works'.
    • Trent, against 'not by works', read as what Paul's word means defeats Luke 7:50: "your faith has saved you", and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works'.
    • Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell).
    • Trent, against 'not by works', read as what Paul's word means defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', read as what Paul's word means.
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn).

What this rests on. The reasons state 15 defeats and 38 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

trent_not_forced

Nor is Trent forced. A maximal defensible position holds Paul's case with Luke's and Peter's, and none of them can be held with Trent.

theorem trent_not_forced : ¬Framework.SkepticallyAccepted
    solaFideDispute.defeats Party.trent
-- axioms: propext, Classical.choice, Quot.sound

apocalypticStandsWithLuke

Why the apocalyptic reading can be defended: it stands with Luke's case, with Peter's, and with the critics, and answers every party that defeats it — Paul, Trent, and Trent read as a claim about Paul's word — itself.

Apocalyptic reading, against faith as the condition is accepted on some resolution.

  • A position holding Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Apocalyptic reading, against faith as the condition, Variegated nomism (Gathercole, Carson et al.) can be held.
  • None of Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Apocalyptic reading, against faith as the condition, Variegated nomism (Gathercole, Carson et al.) defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works', read as what Paul's word means defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11), and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell).
    • Trent, against 'not by works', read as what Paul's word means defeats Sola fide from Peter (Acts 15:9–11), and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', read as what Paul's word means.
    • Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition, and Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16).
    • Trent, against 'not by works' defeats Apocalyptic reading, against faith as the condition, and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works', read as what Paul's word means defeats Apocalyptic reading, against faith as the condition, and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', read as what Paul's word means.
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn).

What this rests on. The reasons state 14 defeats and 39 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

apocalyptic_defensible

The apocalyptic reading can be defended. Some maximal defensible position holds it, and holds Luke's case and Peter's with it: they claim that faith saves, and the apocalyptic reading grants that, denying only that faith is the condition. Among the Reformed parties its one defeater is Paul, whom it defeats back, over the genitive; Trent, read either way, it defeats back over "not by works".

So the dispute between the Reformed reading and the apocalyptic one is where the literature has it: between Paul and Campbell, over πίστις Χριστοῦ — not between Campbell and Luke.

theorem apocalyptic_defensible : Framework.CredulouslyAccepted
    solaFideDispute.defeats Party.apocalyptic
-- axioms: propext, Classical.choice, Quot.sound

apocalypticAnsweredByPaul

Why the apocalyptic reading is not forced: a defensible position holds Paul, and Paul defeats it.

Apocalyptic reading, against faith as the condition is not accepted on every resolution.

  • A position holding Sola fide from Paul (Galatians 2:16), Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Variegated nomism (Gathercole, Carson et al.) can be held, and it holds Sola fide from Paul (Galatians 2:16); Sola fide from Paul (Galatians 2:16) conflicts with Apocalyptic reading, against faith as the condition: Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition, and Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16).
  • None of Sola fide from Paul (Galatians 2:16), Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Variegated nomism (Gathercole, Carson et al.) defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works'.
    • Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition.
    • Covenantal nomism (Sanders, Dunn) defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn).
    • Trent, against 'not by works', read as what Paul's word means defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works'.
    • Trent, against 'not by works', read as what Paul's word means defeats Luke 7:50: "your faith has saved you", and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works'.
    • Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell).
    • Trent, against 'not by works', read as what Paul's word means defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', read as what Paul's word means.
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn).

What this rests on. The reasons state 15 defeats and 38 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

apocalyptic_not_forced

Nor is it forced. A maximal defensible position holds Paul's case — faith alone, from Galatians 2:16 read with the objective genitive — and cannot hold the apocalyptic reading with it. Between Paul and Campbell the dispute chooses neither: each is defensible, and neither is forced.

theorem apocalyptic_not_forced : ¬Framework.SkepticallyAccepted
    solaFideDispute.defeats Party.apocalyptic
-- axioms: propext, Classical.choice, Quot.sound

lukeStandsWithPeter

Why Luke's case can be defended: it stands with Peter's, the apocalyptic reading and the critics, and answers both its defeaters — Trent, and Trent read as a claim about Paul's word — itself.

Luke 7:50: "your faith has saved you" is accepted on some resolution.

  • A position holding Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Apocalyptic reading, against faith as the condition, Variegated nomism (Gathercole, Carson et al.) can be held.
  • None of Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Apocalyptic reading, against faith as the condition, Variegated nomism (Gathercole, Carson et al.) defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works', read as what Paul's word means defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11), and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell).
    • Trent, against 'not by works', read as what Paul's word means defeats Sola fide from Peter (Acts 15:9–11), and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', read as what Paul's word means.
    • Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition, and Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16).
    • Trent, against 'not by works' defeats Apocalyptic reading, against faith as the condition, and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works', read as what Paul's word means defeats Apocalyptic reading, against faith as the condition, and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', read as what Paul's word means.
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn).

What this rests on. The reasons state 14 defeats and 39 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

dominical_case_defensible

Luke's case can be defended. "Your faith has saved you", read as Luke says it, stands in six of the dispute's eight maximal defensible positions. Its only defeater is Trent, read or unread, over what justification is: Trent's definition denies that faith without charity suffices, and Luke's words say her faith saved her. It defeats Trent back, and conflicts with no other party.

theorem dominical_case_defensible : Framework.CredulouslyAccepted
    solaFideDispute.defeats Party.dominical
-- axioms: propext, Classical.choice, Quot.sound

lukeAnsweredByTrent

Why Luke's case is not forced: a defensible position holds Trent, and Trent defeats it.

Luke 7:50: "your faith has saved you" is not accepted on every resolution.

  • A position holding Trent, against 'not by works', Covenantal nomism (Sanders, Dunn), Law-observant Luke (Jervell) can be held, and it holds Trent, against 'not by works'; Trent, against 'not by works' conflicts with Luke 7:50: "your faith has saved you": Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
  • None of Trent, against 'not by works', Covenantal nomism (Sanders, Dunn), Law-observant Luke (Jervell) defeats another, and each attack on them is answered from among them:
    • Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
    • Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you".
    • Sola fide from Peter (Acts 15:9–11) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11).
    • Apocalyptic reading, against faith as the condition defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Apocalyptic reading, against faith as the condition.
    • Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal.
    • Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn), and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
    • Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn), and Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.).
    • Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell), and Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11).

What this rests on. The reasons state 14 defeats and 28 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

Why Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', at the level of the claims: whereTrentPartsFromPaul.

dominical_case_not_forced

Nor is it forced. A maximal defensible position holds Trent, and cannot hold Luke's case with it.

This is the dispute's verdict, stated plainly: between Trent and each Reformed party, the dispute chooses neither. Their weakest links are all disputed, so no rating breaks a tie, and every attack between Trent and the Reformed readings runs both ways. What decides between them is what justification is — and that is argued, not weighed: whyTheDominicalCaseStandsAgainstTrent locates Luke's disagreement with Trent at Trent's definition, and whereTrentPartsFromPaul (Gospel.lean) locates Paul's at one step, that a verdict on a finished work excludes the renewal wrought in us. The one thing the ratings do decide is that Trent cannot claim its definition as the meaning of Paul's word (trent_on_pauls_word_indefensible).

theorem dominical_case_not_forced : ¬Framework.SkepticallyAccepted
    solaFideDispute.defeats Party.dominical
-- axioms: propext, Classical.choice, Quot.sound

gospelStandsWithTheStrands

Why Paul's gospel can be defended: it stands with Paul's case, Luke's, Peter's, the critics and Paul's word, and answers both parties that defeat it — Trent, and Trent read as a claim about Paul's word — itself.

Paul's gospel (Galatians 1), against justification as renewal is accepted on some resolution.

  • A position holding Paul's gospel (Galatians 1), against justification as renewal, Sola fide from Paul (Galatians 2:16), Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Variegated nomism (Gathercole, Carson et al.), Paul's word (δικαιόω, by the rule of least meaning) can be held.
  • None of Paul's gospel (Galatians 1), against justification as renewal, Sola fide from Paul (Galatians 2:16), Luke 7:50: "your faith has saved you", Sola fide from Peter (Acts 15:9–11), Variegated nomism (Gathercole, Carson et al.), Paul's word (δικαιόω, by the rule of least meaning) defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal, and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works'.
    • Trent, against 'not by works', read as what Paul's word means defeats Paul's gospel (Galatians 1), against justification as renewal, and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16), and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works'.
    • Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition.
    • Covenantal nomism (Sanders, Dunn) defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn).
    • Trent, against 'not by works', read as what Paul's word means defeats Sola fide from Paul (Galatians 2:16), and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works'.
    • Trent, against 'not by works', read as what Paul's word means defeats Luke 7:50: "your faith has saved you", and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', read as what Paul's word means.
    • Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11), and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works'.
    • Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell).
    • Trent, against 'not by works', read as what Paul's word means defeats Sola fide from Peter (Acts 15:9–11), and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', read as what Paul's word means.
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn).

What this rests on. The reasons state 17 defeats and 60 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', at the level of the claims: whereTrentPartsFromPaul.

gospel_defensible

Paul's gospel can be defended, with every Reformed strand and with Paul's word: some maximal defensible position holds them all.

theorem gospel_defensible : Framework.CredulouslyAccepted
    solaFideDispute.defeats Party.gospel
-- axioms: propext, Classical.choice, Quot.sound

gospelAnsweredByTrent

Why Paul's gospel is not forced: a defensible position holds Trent, and Trent defeats it.

Paul's gospel (Galatians 1), against justification as renewal is not accepted on every resolution.

  • A position holding Trent, against 'not by works', Covenantal nomism (Sanders, Dunn), Law-observant Luke (Jervell) can be held, and it holds Trent, against 'not by works'; Trent, against 'not by works' conflicts with Paul's gospel (Galatians 1), against justification as renewal: Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal, and Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works'.
  • None of Trent, against 'not by works', Covenantal nomism (Sanders, Dunn), Law-observant Luke (Jervell) defeats another, and each attack on them is answered from among them:
    • Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
    • Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you".
    • Sola fide from Peter (Acts 15:9–11) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11).
    • Apocalyptic reading, against faith as the condition defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Apocalyptic reading, against faith as the condition.
    • Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal.
    • Sola fide from Paul (Galatians 2:16) defeats Covenantal nomism (Sanders, Dunn), and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
    • Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn), and Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.).
    • Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell), and Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11).

What this rests on. The reasons state 14 defeats and 28 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', at the level of the claims: whereTrentPartsFromPaul.

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

gospel_not_forced

Nor is it forced. Trent, as Trent states it — tied to neither reading of its definition — is still defensible, and Paul's gospel cannot be held with it. What decides between them is the step whereTrentPartsFromPaul names — that a verdict on a finished work excludes renewal — and it is rated disputed. The lexical case does not decide it: read as a claim about what God does, Trent's definition is not reached by anything Paul's word says (lexical_case_does_not_reach_what_god_does).

theorem gospel_not_forced : ¬Framework.SkepticallyAccepted
    solaFideDispute.defeats Party.gospel
-- axioms: propext, Classical.choice, Quot.sound

Why Luke's case stands against Trent

The verdicts above say that Luke's case and Trent defeat each other, and that the dispute chooses neither. This says why, at the level of the claims. The two part over what justification is: Trent defines it as the renewal of the inward man by infused charity, and from that definition it follows that faith without charity does not suffice. Luke's words say that her faith saved her.

whyTheDominicalCaseStandsAgainstTrent

Why Luke's case stands against Trent. The crux is Luke's own step: from "your faith has saved you", with σῴζω as salvation and her love as the evidence of forgiveness, to faith's sufficiency. Trent cannot hold it with Luke's words: its definition of justification as the renewal of the inward man (Session VI, ch. 7), with the step from that definition to denying that faith suffices (canon 9), contradicts it — and both are needed. Nothing else in Trent's case does: not its account of merit, not its reading of works.

So the disagreement is not about what Luke says. It is about what justification is. Grant Trent's definition, and "your faith has saved you" cannot mean that faith sufficed; grant that it did, and Trent's definition cannot stand.

Why Luke 7:50: "your faith has saved you" stands against Trent, against 'not by works'.

  • The crux: \((P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26}\), a premise of Luke 7:50: "your faith has saved you".
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{17}\), \(P_{18}\), \(P_{19}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\), \(P_{33} \rightarrow \lnot P_{26}\) cannot be held together with \((P_{17} \land P_{18} \land P_{19}) \rightarrow P_{26}\) and \(P_{17}\), \(P_{18}\), \(P_{19}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

TestimonyArguments.SolaFide.Johannine — "this is the work of God, that you believe"

A fourth strand for sola fide, from John's Gospel, encoded on its own. Asked what they must do "to be doing the works of God", the crowd is told: "This is the work of God, that you believe in him whom he has sent" (John 6:28–29). The question of works is put to Jesus in terms, and he answers with believing. The Gospel says the same throughout: eternal life, and passing out of judgement, through believing in the Son (3:16–18, 3:36, 5:24), and it states its own purpose in those terms (20:31).

The hinge: what believing is

Both sides grant the verse. What divides them is what its believing is.

  • Calvin reads it as trust. Christ calls faith a work only improperly: faith "brings nothing to God, but, on the contrary, places man before God as empty and poor, that he may be filled with Christ", and "bestows on man no other righteousness than that which he receives from Christ". It is "a passive work, to which no reward can be paid".
  • Aquinas reads it as faith formed by charity. Paul distinguishes faith "only from external works"; to believe in him (in illum), as one's end, "is proper to faith living through the love of charity", and faith so living "is the principle of all our good works" (Super Ioannem 6, lect. 3, n. 901). That is Trent's account of justifying faith (Session VI, ch. 7): faith without hope and charity "neither unites man perfectly with Christ, nor makes him a living member of His body".

So the strand has the same shape as the others: shared texts, and a reading on which everything turns. Grant Aquinas his reading and the texts no longer deliver faith alone (johannine_strand_rests_on_believing_as_trust).

John has no word for justification

δικαιόω does not occur in John. The strand's step therefore runs from eternal life through believing to justification by faith alone, and that is an inference, not a reading of a word. It is cited to Calvin, whose comment on 6:29 speaks of the righteousness faith receives from Christ, and rated plausible: no cited source grants the strand's grounds and denies that step, but none argues the bridge from John's vocabulary to Paul's at length either.

Luther's answer, from Galatians 3

Aquinas's reading is not left standing unanswered. Luther meets it head-on in his lectures on Galatians. At 3:11: "The scholastics misconstrue this passage by saying: 'The just shall live by faith, if it is a working faith, or a faith formed and performed by charitable works.' … To speak of formed or unformed faith, a sort of double faith, is contrary to the Scriptures." At 3:12: "Does not the Law command charity? … If the law requires charity, charity is part of the Law and not of faith." So a faith that justifies because charity forms it justifies by the law after all — and "the law is not of faith" (Galatians 3:12).

The argument is encoded as a line of its own (lutherLine). Its grounds are both things Aquinas grants: the text of Galatians 3:11–12, and that love of God and neighbour is what the law commands (Deuteronomy 6:5). Its step is Luther's: from those, the believing that justifies is not faith formed by charity. Granted the step, Aquinas's reading of John 6:29 falls (luther_answers_aquinas_from_galatians). But the step is the whole of the answer: the texts alone do not exclude his reading (luther_answer_rests_on_his_step), and the step is rated disputed, because Aquinas grants both of its grounds and denies its conclusion. Nor does removing Aquinas's reading establish Calvin's: that the believing of 6:29 is not formed by charity is weaker than that it is trust.

Calvin makes the neighbouring argument in the Institutes (III.xi.19), which the library already cites for worksOfLawMeansWorksGenerally: against those who "pretend that the works excluded are ceremonial, not moral works", he cites Galatians 3:10 and 3:12 — the curse on everyone who does not continue in all that the law commands — and concludes that "the whole Law is spoken of when the power of justifying is denied to it". Aquinas's distinction is between external and inward works rather than ceremonial and moral ones, so it is Luther's argument on 3:11–12, not Calvin's, that meets him directly.

The Catholic reply rests on Galatians 5:6, "faith working through love", which Trent cites (Session VI, ch. 7). How Luther and Calvin read that verse is not yet encoded.

What is not yet done

The strand is encoded alone, as a package of its own. It is not yet part of reformed or of the sola fide dispute, and that is deliberate. Adding a fourth strand to reformed changes the joint results — no premise removed from the other three strands defeats sola fide while John's strand stands — and a Johannine party in Dispute.lean changes the defeat table. Both are the next step, tracked in issue #86, and every statement elsewhere that sola fide "runs on three strands" remains true of reformed until then.

Nor does it encode the obedience reading of 3:36, where the opposite of the one who believes is the one who "does not obey" (ἀπειθῶν): no source arguing that Johannine faith therefore includes obedience has been verified yet.

The lines

calvinOnJohnSix

Calvin's step from John to justification. John has no δικαιόω, so the bridge from eternal life through believing to justification by faith alone is an inference of its own. Rated plausible: no cited source grants the strand's grounds and denies the step, but the bridge rests on Calvin's comment rather than on an argument from John's vocabulary.

def calvinOnJohnSix : Source :=
  { primary := Reference.work calvinJohn (Bib.Locus.adLoc Scripture.john6_29),
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.plausible }

aquinasOnFormedFaith

Aquinas's step: faith living through charity is not bare trust. Rated consensus: Calvin concedes it — his trust is precisely a faith that brings nothing — and the two divide over the premise, not the inference.

def aquinasOnFormedFaith : Source :=
  {
    primary :=
      Reference.work aquinasJohn
        (Bib.Locus.sectionRef "cap. 6, lect. 3, n. 901"),
    tradition := Tradition.romanCatholic, confidence := Confidence.consensus }

johannineToFaithAlone

The Johannine strand. From the work God requires (6:28–29), and eternal life through believing (3:16–18, 3:36, 5:24, 20:31), to justification by faith alone — by way of the reading of that believing as trust.

\[ (P_{36} \land P_{37} \land P_{38}) \rightarrow P_{25} \]

johannineLine — Johannine strand (John 6:29)

The Johannine line. Its texts are its own grounds, not shared prooftexts, because the strand is not yet part of reformed.

\[ \begin{aligned} \text{(1)} \quad & P_{36} \\ \text{(2)} \quad & P_{37} \\ \text{(3)} \quad & P_{38} \\ \text{(4)} \quad & (P_{36} \land P_{37} \land P_{38}) \rightarrow P_{25} \\[4pt] \vdash \quad & P_{25} \end{aligned} \]

thomistLine — Faith formed by charity (Aquinas on John 6:29)

Aquinas's line. The believing of 6:29 is faith living through charity, and so not the bare trust the strand needs. The denial is derived, not assumed: it follows from Aquinas's own reading of the verse.

\[ \begin{aligned} \text{(1)} \quad & P_{39} \\ \text{(2)} \quad & P_{39} \rightarrow \lnot P_{38} \\[4pt] \vdash \quad & \lnot P_{38} \end{aligned} \]

The packages

johannineCase — Sola fide from John (6:28–29)

Sola fide from John alone: the Johannine line, with the grounds and closing steps every Reformed strand shares.

\[ \begin{aligned} \text{(1)} \quad & P_{36} \\ \text{(2)} \quad & P_{37} \\ \text{(3)} \quad & P_{38} \\ \text{(4)} \quad & P_{1} \\ \text{(5)} \quad & P_{2} \\ \text{(6)} \quad & P_{3} \\ \text{(7)} \quad & P_{4} \\ \text{(8)} \quad & P_{5} \\ \text{(9)} \quad & P_{17} \\ \text{(10)} \quad & P_{9} \\ \text{(11)} \quad & P_{20} \\ \text{(12)} \quad & P_{21} \\ \text{(13)} \quad & P_{24} \\ \text{(14)} \quad & (P_{36} \land P_{37} \land P_{38}) \rightarrow P_{25} \\ \text{(15)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(16)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(17)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(18)} \quad & P_{25} \rightarrow P_{26} \\ \text{(19)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

Grounded in scripture alone: John 3:16–18, 3:36, 5:24, 20:31 — eternal life through believing in the Son.

thomistOnJohn — Aquinas on John 6:29 (faith formed by charity)

Aquinas on John: every text the Johannine strand reads, and every shared ground, with its believing read as faith formed by charity. The rival the strand is written against.

\[ \begin{aligned} \text{(1)} \quad & P_{36} \\ \text{(2)} \quad & P_{37} \\ \text{(3)} \quad & P_{39} \\ \text{(4)} \quad & P_{1} \\ \text{(5)} \quad & P_{2} \\ \text{(6)} \quad & P_{3} \\ \text{(7)} \quad & P_{4} \\ \text{(8)} \quad & P_{5} \\ \text{(9)} \quad & P_{17} \\ \text{(10)} \quad & P_{9} \\ \text{(11)} \quad & P_{20} \\ \text{(12)} \quad & P_{21} \\ \text{(13)} \quad & P_{24} \\ \text{(14)} \quad & (P_{36} \land P_{37} \land P_{38}) \rightarrow P_{25} \\ \text{(15)} \quad & P_{39} \rightarrow \lnot P_{38} \\ \text{(16)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\ \text{(17)} \quad & (P_{1} \land P_{4} \land P_{5}) \rightarrow P_{27} \\ \text{(18)} \quad & (P_{1} \land P_{4} \land P_{5} \land P_{22} \land P_{24}) \rightarrow P_{28} \\ \text{(19)} \quad & P_{25} \rightarrow P_{26} \\ \text{(20)} \quad & (P_{26} \land P_{1}) \rightarrow P_{29} \\[4pt] \vdash \quad & P_{27} \land P_{28} \land P_{29} \end{aligned} \]

Grounded in scripture alone: John 3:16–18, 3:36, 5:24, 20:31 — eternal life through believing in the Son.

Results

johannine_strand_establishes

John alone delivers sola fide. Grant that the believing of 6:29 is trust, and the work God requires is no work at all: sola fide follows from John without Paul, Luke or Acts.

theorem johannine_strand_establishes : Establishes johannineCase
-- axioms: propext, Quot.sound

thomistReading

Aquinas's world: every text holds, and the believing of 6:29 is faith living through charity — so not bare trust, not faith alone, and faith without charity does not suffice. Grace and "not by works" still hold: Aquinas excludes external works, and grants that faith is God's gift.

def thomistReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.johannineBelievingIsTrust => False
    | Claim.justificationByFaithAlone => False
    | Claim.faithIsSufficient => False
    | Claim.salvationThroughFaith => False
    | x => True

johannine_strand_rests_on_believing_as_trust

The Johannine strand rests on believing as trust. Grant Aquinas every text the strand reads, and read their believing as he does — faith living through charity — and sola fide no longer follows. So John's Gospel, like Paul's Galatians and Luke's σῴζω, carries the conclusion only through a reading: here, of what it is to believe in him.

theorem johannine_strand_rests_on_believing_as_trust : ¬Establishes
    thomistOnJohn
-- axioms: propext, Quot.sound

johannineCase_is_satisfiable

The Johannine case has a model, so johannine_strand_establishes is not vacuous.

theorem johannineCase_is_satisfiable : Satisfiable johannineCase.premises
-- axioms: propext, Quot.sound

Luther's answer

lutherOnGalatiansThree

Luther's step, on Galatians 3:11–12: the law commands charity, and the law is not of faith, so faith formed by charity would justify by the law. Rated disputed: Aquinas grants both grounds — the text, and that the law commands love — and denies the conclusion, holding that justifying faith is formed by charity.

def lutherOnGalatiansThree : Source :=
  {
    primary :=
      Reference.work lutherGalatians
        (Bib.Locus.adLoc { book := Book.galatians, chapter := 3, verse := 12 }),
    supporting :=
      [Reference.work lutherGalatians
          (Bib.Locus.adLoc
            { book := Book.galatians, chapter := 3, verse := 11 })],
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

lutherLine — Luther on Galatians 3:11–12 (against faith formed by charity)

Luther's line. From Galatians 3:11–12 and the law's command of love to the denial of Aquinas's reading: the believing that justifies is not faith formed by charity, since charity is what the law commands and the law is not of faith.

\[ \begin{aligned} \text{(1)} \quad & P_{40} \\ \text{(2)} \quad & P_{41} \\ \text{(3)} \quad & (P_{40} \land P_{41}) \rightarrow \lnot P_{39} \\[4pt] \vdash \quad & \lnot P_{39} \end{aligned} \]

lutherOnGalatians — Luther on Galatians 3:11–12 (against faith formed by charity)

Luther's answer to Aquinas as an argument: what Aquinas grants, with Luther's step, against the reading of 6:29 as faith formed by charity.

\[ \begin{aligned} \text{(1)} \quad & P_{40} \\ \text{(2)} \quad & P_{41} \\ \text{(3)} \quad & (P_{40} \land P_{41}) \rightarrow \lnot P_{39} \\[4pt] \vdash \quad & \lnot P_{39} \end{aligned} \]

No premise here rests on scripture alone.

galatiansTextsAlone — Galatians 3:11–12 and the law's command of love, without Luther's step

The same grounds without Luther's step: Galatians 3:11–12, and that the law commands love.

\[ \begin{aligned} \text{(1)} \quad & P_{40} \\ \text{(2)} \quad & P_{41} \\[4pt] \vdash \quad & \lnot P_{39} \end{aligned} \]

No premise here rests on scripture alone.

luther_answers_aquinas_from_galatians

Luther answers Aquinas from Galatians 3. Grant what Aquinas grants — Galatians 3:11–12, and that the law commands love — and Luther's step, and the believing of John 6:29 is not faith formed by charity: a faith that justified because charity formed it would justify by the law, and the law is not of faith. What this removes is Aquinas's reading; it does not by itself establish Calvin's.

theorem luther_answers_aquinas_from_galatians : Establishes lutherOnGalatians
-- axioms: propext, Quot.sound

luther_answer_rests_on_his_step

Luther's answer rests on his step. The texts alone do not exclude Aquinas's reading: in Aquinas's world Galatians 3:11–12 holds, the law commands love, and the believing of 6:29 is faith formed by charity. What decides it is whether faith formed by charity counts as justification "by the law" — Luther's step, which Aquinas denies.

theorem luther_answer_rests_on_his_step : ¬Establishes galatiansTextsAlone
-- axioms: propext, Quot.sound

lutherReading

The Reformed world, in which the believing of John 6:29 is not faith formed by charity, and everything else holds.

def lutherReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.johannineBelievingIsFormedByCharity => False
    | x => True

lutherOnGalatians_is_satisfiable

Luther's package has a model, so luther_answers_aquinas_from_galatians is not vacuous.

theorem lutherOnGalatians_is_satisfiable : Satisfiable
    lutherOnGalatians.premises
-- axioms: propext, Quot.sound

whyLutherAnswersAquinas

Why Luther's answer stands against Aquinas. The crux is Luther's step: from Galatians 3:11–12 and the law's command of love, the believing that justifies is not faith formed by charity. With the two texts granted, Aquinas's reading of John 6:29 cannot keep its one distinctive ground — that the believing is formed by charity — and that ground alone breaks.

Unlike the Reformed distinction against Trent, this crux is part of Luther's case: without the step, the texts do not deliver his conclusion. So the answer is exactly as strong as the step, which is rated disputed — the step is Luther's, and the texts are granted by both sides.

Why Luther on Galatians 3:11–12 (against faith formed by charity) stands against Aquinas on John 6:29 (faith formed by charity).

  • The crux: \((P_{40} \land P_{41}) \rightarrow \lnot P_{39}\), a premise of Luther on Galatians 3:11–12 (against faith formed by charity).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{40}\), \(P_{41}\), which the break also needs.
  • Where the rival breaks: \(P_{39}\) cannot be held together with \((P_{40} \land P_{41}) \rightarrow \lnot P_{39}\) and \(P_{40}\), \(P_{41}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

TestimonyArguments.SolaFide.Hearings — the same dispute, asked two narrower questions

A dispute answers the question it is asked, and the full sola fide dispute asks a crowded one: the Reformers, Trent, and three modern schools of Pauline scholarship at once. A reader usually wants something narrower. Two questions come up again and again, and each is answered here by hearing the same dispute with some of its parties set aside. Nothing is re-argued: a hearing keeps every defeat the full dispute proved, and only leaves some parties unheard.

What did the Reformation itself decide? The sixteenth-century dispute was Rome and the Reformers, before anyone had proposed a New Perspective on Paul or an apocalyptic reading of him. Heard that way (reformationAlone) — the sixteenth-century positions, argued with the modern evidence cited for each, so Joos, Silva and Barr among them — one thing is forced: Paul's word — δικαιόω does not denote the renewal of the inward man — by both routes, lexical and exegetical. So Trent cannot claim that its definition is what Paul's word means; that reading cannot be defended. What breaks is not Augustine's gloss — that he glossed the word so is not in question — but the step from a Latin gloss to what the Greek word denotes. But Trent's definition read as a claim about what God does is not touched by anything about the word, and there Trent and the Reformers tie: each defeats the other, and the ratings, all disputed, cannot choose between them. The Reformation dispute, heard on its own, comes down to what justification is — the question whatTrentsDefinitionClaims locates.

If Trent were not heard, would Scripture establish sola fide? It is a natural question for a Protestant reader, and the answer is more interesting than yes. Heard without Trent (withoutTrent), four things are forced: Paul's word, by both routes; Paul's gospel — justification is not the renewal of the inward man; and Luke's "your faith has saved you" — faith suffices. But sola fide itself, faith alone, is still not forced, from Paul or from Peter. What stops it is not Rome. It is three disputes inside modern Pauline scholarship:

  • Campbell's apocalyptic reading takes πίστις Χριστοῦ as Christ's own faithfulness, and meets Paul over the genitive;
  • Sanders and Dunn read ἔργα νόμου as Israel's boundary markers, and the critics who answer them are answered back;
  • Jervell reads the yoke of Acts 15 as something other than the law as a condition of salvation, and meets Peter's case.

Each of those is a question about what a text says, and each is where the literature has it. Setting Rome aside does not make them go away.

Augustine stays where the full dispute has him. In the Reformation hearing he is the ground Trent's reading of Paul's word rests on; without Trent, his gloss goes with that reading, since nothing else rests on it. In both, he remains the cited reader who grants Romans 4:5–8 and reads it the other way, which is why Paul's step from Romans 4 is rated disputed. The library does not remove a reader because it judges him mistaken; it shows where his reading breaks, and where it does not.

The Reformation dispute, on its own

reformationAlone

The parties of the sixteenth-century dispute: the three Reformed strands, Paul's gospel, Paul's word by both routes, and Trent, read and unread. Not heard: the apocalyptic reading, Sanders and his critics, and Jervell.

def reformationAlone : Dispute Claim { i // i ∉ [Party.apocalyptic,
    Party.sanders, Party.critics, Party.jervell] } :=
  solaFideDispute.restrict fun x =>
    x ∉
      [Party.apocalyptic, Party.sanders,
        Party.critics, Party.jervell]

reformationAloneFinite

The Reformation dispute, in the form the verdict solver computes with.

def reformationAloneFinite : Solver.Finite fun i j => solaFideDispute.defeats
    ↑i ↑j :=
  solaFideFinite.restrict fun x =>
    x ∉
      [Party.apocalyptic, Party.sanders,
        Party.critics, Party.jervell]

reformationSettlesTheWord

How the Reformation dispute is settled as far as it can be: nothing defeats either route to Paul's word, so both come first, and nothing joins them. Each Reformed party is defeated by Trent, Trent by Paul's case (and by Luke's, Peter's and Paul's gospel), and Trent read as a claim about Paul's word by Paul's word itself.

What the dispute forces is exactly Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning).

  • Stage 1: Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning).
    • Paul's word (δικαιόω, by the rule of least meaning) is defeated by nothing.
    • Romans 4:3–8, on Paul's word (by the rule of least meaning) is defeated by nothing.
  • Nothing else is forced:
    • Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16), and nothing forced defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and nothing forced defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11), and nothing forced defeats Trent, against 'not by works'.
    • Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', and nothing forced defeats Sola fide from Paul (Galatians 2:16).
    • Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal, and nothing forced defeats Trent, against 'not by works'.
    • Paul's word (δικαιόω, by the rule of least meaning) defeats Trent, against 'not by works', read as what Paul's word means, and nothing forced defeats Paul's word (δικαιόω, by the rule of least meaning).

What this rests on. The reasons state 6 defeats and 20 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Paul's word (δικαιόω, by the rule of least meaning) defeats Trent, against 'not by works', read as what Paul's word means, at the level of the claims: whereTrentsWordReadingFalls.

reformation_dispute_forces_only_pauls_word

What the Reformation dispute forces: Paul's word, and nothing else. Heard as Rome and the Reformers alone, the grounded extension is exactly the two routes to Paul's word. Trent cannot claim that its definition is what Paul's δικαιόω means. Everything else — sola fide from each strand, Paul's gospel, Trent's definition as a claim about what God does — is defeated by someone it does not answer.

theorem reformation_dispute_forces_only_pauls_word : Framework.grounded
    reformationAlone.defeats = Solver.toSet (Witness.listSub (fun x => x ∉
    [Party.apocalyptic, Party.sanders, Party.critics, Party.jervell])
    [Party.lexical, Party.romansOnTheWord])
-- axioms: propext, Classical.choice, Quot.sound

trentStandsWithPaulsWord

Why Trent can be defended in the Reformation dispute: it stands with Paul's word, and answers every party that attacks it itself.

Trent, against 'not by works' is accepted on some resolution.

  • A position holding Trent, against 'not by works', Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning) can be held.
  • None of Trent, against 'not by works', Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning) defeats another, and each attack on them is answered from among them:
    • Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
    • Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you".
    • Sola fide from Peter (Acts 15:9–11) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11).
    • Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal.

What this rests on. The reasons state 8 defeats and 20 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

Why Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', at the level of the claims: whereTrentPartsFromPaul.

trent_defensible_with_pauls_word

Trent, as Trent states it, can be defended in the Reformation dispute — and with Paul's word. Some maximal defensible position holds Trent together with both routes to Paul's word. That is the point of the dilemma, weighed: granting everything Paul's word means costs Trent nothing, so long as its definition is a claim about what God does.

theorem trent_defensible_with_pauls_word : Framework.CredulouslyAccepted
    reformationAlone.defeats ⟨Party.trent, ⋯⟩
-- axioms: propext, Classical.choice, Quot.sound

reformationAnsweredByTrent

Why sola fide is not forced in the Reformation dispute: a defensible position holds Trent, and Trent defeats Paul.

Sola fide from Paul (Galatians 2:16) is not accepted on every resolution.

  • A position holding Trent, against 'not by works', Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning) can be held, and it holds Trent, against 'not by works'; Trent, against 'not by works' conflicts with Sola fide from Paul (Galatians 2:16): Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works'.
  • None of Trent, against 'not by works', Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning) defeats another, and each attack on them is answered from among them:
    • Sola fide from Paul (Galatians 2:16) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Paul (Galatians 2:16).
    • Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you".
    • Sola fide from Peter (Acts 15:9–11) defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Sola fide from Peter (Acts 15:9–11).
    • Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Paul's gospel (Galatians 1), against justification as renewal.

What this rests on. The reasons state 8 defeats and 20 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

Why Paul's gospel (Galatians 1), against justification as renewal defeats Trent, against 'not by works', at the level of the claims: whereTrentPartsFromPaul.

sola_fide_not_forced_in_the_reformation_dispute

Nor is sola fide forced there. Rome and the Reformers, heard alone, tie: each Reformed strand and Trent defeat each other over Trent's definition, and every rating on both sides is disputed. What would decide is the step from a verdict to "renewal is no part of justification": it is disputed in Galatians and again in Romans 4 (see whatTrentsDefinitionClaims).

theorem sola_fide_not_forced_in_the_reformation_dispute :
    ¬Framework.SkepticallyAccepted reformationAlone.defeats ⟨Party.pauline, ⋯⟩
-- axioms: propext, Classical.choice, Quot.sound

The dispute without Trent

withoutTrent

Every party but Trent's two: Trent as Trent states it, and Trent read as a claim about Paul's word. Augustine's gloss goes with the second, since it is the ground that reading rests on.

def withoutTrent : Dispute Claim { i // i ∉ [Party.trent,
    Party.trentOnPaulsWord] } :=
  solaFideDispute.restrict fun x =>
    x ∉ [Party.trent, Party.trentOnPaulsWord]

withoutTrentFinite

The dispute without Trent, in the form the verdict solver computes with.

def withoutTrentFinite : Solver.Finite fun i j => solaFideDispute.defeats ↑i
    ↑j :=
  solaFideFinite.restrict fun x =>
    x ∉ [Party.trent, Party.trentOnPaulsWord]

withoutTrentSettles

What is settled without Trent: nothing now defeats Luke's case, Paul's gospel, or either route to Paul's word, so all four come first; and nothing joins them. Paul's case is defeated by the apocalyptic reading, Peter's by Jervell, Sanders by the critics and the critics by Sanders, the apocalyptic reading by Paul, and Jervell by Peter.

What the dispute forces is exactly Luke 7:50: "your faith has saved you", Paul's gospel (Galatians 1), against justification as renewal, Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning).

  • Stage 1: Luke 7:50: "your faith has saved you", Paul's gospel (Galatians 1), against justification as renewal, Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning).
    • Luke 7:50: "your faith has saved you" is defeated by nothing.
    • Paul's gospel (Galatians 1), against justification as renewal is defeated by nothing.
    • Paul's word (δικαιόω, by the rule of least meaning) is defeated by nothing.
    • Romans 4:3–8, on Paul's word (by the rule of least meaning) is defeated by nothing.
  • Nothing else is forced:
    • Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16), and nothing forced defeats Apocalyptic reading, against faith as the condition.
    • Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11), and nothing forced defeats Law-observant Luke (Jervell).
    • Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition, and nothing forced defeats Sola fide from Paul (Galatians 2:16).
    • Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn), and nothing forced defeats Variegated nomism (Gathercole, Carson et al.).
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and nothing forced defeats Covenantal nomism (Sanders, Dunn).
    • Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell), and nothing forced defeats Sola fide from Peter (Acts 15:9–11).

What this rests on. The reasons state 6 defeats and 64 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

without_trent_luke_and_pauls_gospel_prevail

Without Trent, four things are forced. Luke 7:50 — faith suffices; Paul's gospel — justification is not the renewal of the inward man; and Paul's word, by both routes — δικαιόω does not denote that renewal. With Trent unheard, nothing attacks any of them.

theorem without_trent_luke_and_pauls_gospel_prevail : Framework.grounded
    withoutTrent.defeats = Solver.toSet (Witness.listSub (fun x => x ∉
    [Party.trent, Party.trentOnPaulsWord]) [Party.dominical, Party.gospel,
    Party.lexical, Party.romansOnTheWord])
-- axioms: propext, Classical.choice, Quot.sound

paulAnsweredByCampbell

Why Paul's case for sola fide is not forced without Trent: a defensible position holds the apocalyptic reading, and it defeats Paul over πίστις Χριστοῦ.

Sola fide from Paul (Galatians 2:16) is not accepted on every resolution.

  • A position holding Apocalyptic reading, against faith as the condition, Sola fide from Peter (Acts 15:9–11), Variegated nomism (Gathercole, Carson et al.), Luke 7:50: "your faith has saved you", Paul's gospel (Galatians 1), against justification as renewal, Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning) can be held, and it holds Apocalyptic reading, against faith as the condition; Apocalyptic reading, against faith as the condition conflicts with Sola fide from Paul (Galatians 2:16): Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition.
  • None of Apocalyptic reading, against faith as the condition, Sola fide from Peter (Acts 15:9–11), Variegated nomism (Gathercole, Carson et al.), Luke 7:50: "your faith has saved you", Paul's gospel (Galatians 1), against justification as renewal, Paul's word (δικαιόω, by the rule of least meaning), Romans 4:3–8, on Paul's word (by the rule of least meaning) defeats another, and each attack on them is answered from among them:
    • Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition, and Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16).
    • Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell).
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn).

What this rests on. The reasons state 6 defeats and 67 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

sola_fide_from_paul_not_forced_without_trent

Without Trent, sola fide from Paul is still not forced. A maximal defensible position holds Campbell's apocalyptic reading — πίστις Χριστοῦ as Christ's own faithfulness — and cannot hold Paul's case with it. The obstacle is a question about Paul's Greek, not about Rome.

theorem sola_fide_from_paul_not_forced_without_trent :
    ¬Framework.SkepticallyAccepted withoutTrent.defeats ⟨Party.pauline, ⋯⟩
-- axioms: propext, Classical.choice, Quot.sound

peterAnsweredByJervell

Why Peter's case for sola fide is not forced without Trent: a defensible position holds Jervell, and he defeats it over the yoke.

Sola fide from Peter (Acts 15:9–11) is not accepted on every resolution.

  • A position holding Variegated nomism (Gathercole, Carson et al.), Luke 7:50: "your faith has saved you", Paul's gospel (Galatians 1), against justification as renewal, Law-observant Luke (Jervell), Paul's word (δικαιόω, by the rule of least meaning), Sola fide from Paul (Galatians 2:16), Romans 4:3–8, on Paul's word (by the rule of least meaning) can be held, and it holds Law-observant Luke (Jervell); Law-observant Luke (Jervell) conflicts with Sola fide from Peter (Acts 15:9–11): Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11), and Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell).
  • None of Variegated nomism (Gathercole, Carson et al.), Luke 7:50: "your faith has saved you", Paul's gospel (Galatians 1), against justification as renewal, Law-observant Luke (Jervell), Paul's word (δικαιόω, by the rule of least meaning), Sola fide from Paul (Galatians 2:16), Romans 4:3–8, on Paul's word (by the rule of least meaning) defeats another, and each attack on them is answered from among them:
    • Covenantal nomism (Sanders, Dunn) defeats Variegated nomism (Gathercole, Carson et al.), and Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn).
    • Sola fide from Peter (Acts 15:9–11) defeats Law-observant Luke (Jervell), and Law-observant Luke (Jervell) defeats Sola fide from Peter (Acts 15:9–11).
    • Apocalyptic reading, against faith as the condition defeats Sola fide from Paul (Galatians 2:16), and Sola fide from Paul (Galatians 2:16) defeats Apocalyptic reading, against faith as the condition.
    • Covenantal nomism (Sanders, Dunn) defeats Sola fide from Paul (Galatians 2:16), and Variegated nomism (Gathercole, Carson et al.) defeats Covenantal nomism (Sanders, Dunn).

What this rests on. The reasons state 7 defeats and 66 absences of defeat, each a cell of the defeat table, solaFideDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

sola_fide_from_peter_not_forced_without_trent

Nor from Peter. A maximal defensible position holds Jervell's reading of Acts 15 — the yoke is not the law as a condition of salvation — and cannot hold Peter's case with it. So without Trent, faith is forced to suffice (Luke), and justification forced not to be renewal (Paul's gospel), but faith alone still turns on three questions of exegesis: the genitive, the works of the law, and the yoke.

theorem sola_fide_from_peter_not_forced_without_trent :
    ¬Framework.SkepticallyAccepted withoutTrent.defeats ⟨Party.apostolic, ⋯⟩
-- axioms: propext, Classical.choice, Quot.sound

TestimonyArguments.SolaFide.JesusWords — what Jesus' own words say about faith and works

The sola fide dispute weighs Paul, Peter and one saying of Jesus, Luke 7:50. A reader asks a narrower question with a sharper edge: what does Jesus himself say? Three more passages are the ones each side cites.

Luke 18:9–14. The Pharisee lists his fasting and his tithes; the tax collector stands far off, beats his breast, and prays "God, be merciful to me, a sinner"; and Jesus says that he went home justified — δεδικαιωμένος, the word Paul uses — "rather than the other". It is Jesus' own teaching on justification and works, and it uses the word itself.

Two things here are common ground. The word pronounces a verdict: no reader cited here reads δεδικαιωμένος at 18:14 as the inner renewal itself, and Calvin reads it as "to stand before God as if we were righteous". That is a verdict, not only a verdict: Trent holds both that the justified are reputed just and that they are made just (ch. 7), and that is where the parable and Trent part. And the tax collector brings no works that merit: Trent itself says that nothing that precedes justification, "whether faith or works", merits it (Session VI, ch. 8). So Trent's case is consistent with every word of the parable (trent_grants_the_parable), though the Council never speaks to it.

What divides them is the step from the plea to "faith suffices". Trent never cites Luke 18, but it requires the dispositions it lists — fear, hope, beginning to love God, penitence (ch. 6) — and anathematises whoever says that nothing else is required to cooperate (canon 9). Read by those chapters, the tax collector's humility and contrition are dispositions his justification required, not a plea that sufficed alone. The step is disputed, and Luke 18 meets Trent where Luke 7:50 does: at Trent's definition of justification (whyLukeEighteenStandsAgainstTrent).

The verdict sense at 18:14 is what the lexical case claims of δικαιόω in Paul, found in Jesus' own parable. It is not added to that case: a word's sense in Luke is evidence for, not a premise of, its sense in Paul, and the lexical case stands on its own citations.

Matthew 7:21–23. "Not everyone who says to me, 'Lord, Lord,' will enter the kingdom of heaven, but the one who does the will of my Father"; and to those who prophesied in his name, "I never knew you". The text names no faith, and states its criterion as doing the Father's will. Rome reads it as condemning profession without obedience, obedience a condition of entry in its own right; Calvin reads the doing as including faith, and "I never knew you" as no union with Christ. Both readings are encoded as what they are — readings, cited and disputed — and neither is stated as what the text plainly says (matthew7_leaves_the_ground_open).

Matthew 19:16–22. "If you would enter life, keep the commandments" — words Trent quotes (Session VI, ch. 7). Rome reads them as the way to life, possible by grace (Veritatis Splendor 12); Calvin reads them as Christ answering on the law's own terms, so that the young man may see he has not kept it and turn to faith. The same shape, and the same rating.

What the dispute decides

Heard together — Luke 7:50, Luke 18, Trent, and each reading of Matthew 7 and 19 — nothing is forced (jesus_words_force_nothing): nothing is accepted however every standoff — two parties defeating each other — is resolved. Every party is in a standoff the dispute cannot resolve: each Luke passage with Trent, and each Matthean reading with its rival. Heard without Trent, Luke 7:50 and Luke 18 are forced (without_trent_luke_is_forced) — that faith sufficed, not that faith alone saves — and Matthew still is not: the rival readings of Matthew 7 and 19 do not conflict with Luke, only with each other.

Trent here is the party of the main dispute, whose conclusion is that salvation is not apart from works. It meets Luke through its definition of justification, not through that conclusion; Rome's readings of Matthew reach the same conclusion without the definition, and so do not conflict with Luke (luke_stands_with_rome_on_matthew).

So Jesus' words do not decide the Reformation dispute on their own. Heard without Trent, Luke's two sayings stand; Matthew's are argued in both directions, and the ratings cannot choose.

Where it turns: two conceptions of justification

Every standoff between Luke and Trent here sets Luke's own step — from the saying to "faith sufficed", rated disputed — against Trent's definition of justification, with the step from it to canon 9. Nothing else in Trent's case meets Luke (whyLukeEighteenStandsAgainstTrent, whyTheDominicalCaseStandsAgainstTrent). Trent grants every word of the parable (trent_grants_the_parable), and Trent is the only party that meets Luke: heard without Trent, Luke 7:50 and Luke 18 are forced — that faith sufficed, not that faith alone saves (without_trent_luke_is_forced). The words do not divide them; what justification is does.

For the Reformers justification is a verdict: God declares the ungodly righteous, as a judge acquits. For Trent it is "not remission of sins merely, but also the sanctification and renewal of the inward man" (Session VI, ch. 7): the justified are not only reputed just but made just.

What can be shown against that definition from how words mean in their context is checked in whatTrentsDefinitionClaims, and it depends on what the definition is taken to claim.

  • As a claim about the word — that δικαιόω, Paul's verb, means renewal in Paul — it fails three times, each at a step rated wellSupported: against the lexical case (the verb is forensic; Paul names renewal with other words and sets them beside it, Titus 3:5–7 and 1 Corinthians 6:11; a word contributes the least meaning its context requires); against the Latin gloss the reading rests on, since iustificare as "to make righteous" does not fix what the Greek word denotes; and against Romans 4 read for the word. Weighed in the main dispute, Trent read so cannot be defended (trent_on_pauls_word_indefensible). Luke 18 corroborates without adding a fourth break: no reader cited here takes "justified" at 18:14 as the renewal itself.
  • As a claim about what God does — that when he justifies he also renews, pardon and renewal given together — nothing about the word reaches it. Trent read so can be held with every premise of the lexical case (lexical_case_does_not_reach_what_god_does). It meets Paul (Galatians, Romans 4) and Luke only at steps rated disputed; a reader who grants those steps rejects it, and one who denies them, as Augustine and the Joint Declaration do, need not.

Which reading Trent means is itself rated disputed, and the check does not decide it. In this dispute Trent is heard as it states its definition, tied to neither reading, so the check changes no verdict above.

What this does not claim: that logic alone refutes Rome. Trent's case holds together on either reading; neither reading refutes itself. What the check shows is narrower, and it is the honest limit of a contextual argument: the evidence of the word, rated wellSupported, tells against reading the definition as what the word means; whether God's justifying act also includes renewal is a claim the word's meaning leaves open, and there the dispute stands as the main dispute leaves it — a tie at the disputed step whereTrentPartsFromPaul names (gospel_not_forced).

This dispute is kept apart from the main sola fide dispute, as the Johannine strand is. Adding its parties there would change results that module states about its own twelve parties, and that is a change of its own to make and to report.

Luke 18:9–14

luke18ToSufficiency

From the parable to faith's sufficiency. The tax collector brings no works, only a plea for mercy, and goes home justified — God's verdict — so what justified him was not his works but his trust in God's mercy: faith sufficed. Rated disputed: Trent grants the text and the absence of works, and denies that the plea sufficed alone (Session VI, ch. 6 and canon 9).

\[ (P_{57} \land P_{58} \land P_{59}) \rightarrow P_{26} \]

luke18Line — Luke 18:9–14 (the tax collector justified)

Luke 18, as a line: the parable, the verdict, and the plea without works, to faith's sufficiency.

\[ \begin{aligned} \text{(1)} \quad & P_{57} \\ \text{(2)} \quad & P_{58} \\ \text{(3)} \quad & P_{59} \\ \text{(4)} \quad & (P_{57} \land P_{58} \land P_{59}) \rightarrow P_{26} \\[4pt] \vdash \quad & P_{26} \end{aligned} \]

luke18Case — Luke 18:14: "this man went down to his house justified"

Luke 18's case: what the parable says, and no more. It claims that the tax collector's faith sufficed, not that faith alone saves. Luke 7:50 makes the same claim, from a second saying.

\[ \begin{aligned} \text{(1)} \quad & P_{57} \\ \text{(2)} \quad & P_{58} \\ \text{(3)} \quad & P_{59} \\ \text{(4)} \quad & (P_{57} \land P_{58} \land P_{59}) \rightarrow P_{26} \\[4pt] \vdash \quad & P_{26} \end{aligned} \]

No premise here rests on scripture alone.

Matthew 7:21–23

matthew7ToWorks

The Catholic step from Matthew 7:21: if doing the Father's will is a condition of entering the kingdom in its own right, salvation is not apart from works. Rated disputed: Calvin grants the text and denies that the doing is more than the fruit of faith.

\[ (P_{60} \land P_{61}) \rightarrow \lnot P_{28} \]

matthew7ToFruit

The Reformed step from Matthew 7:21: if doing the Father's will includes believing, and the rejected were never known, the doing is not a condition of entry in its own right but the fruit of faith. Rated disputed: the Catechism grants the text and reads it the other way.

\[ (P_{60} \land P_{62}) \rightarrow \lnot P_{61} \]

matthew7ObedienceLine — Matthew 7:21–23, read as obedience a condition of entry

Matthew 7:21–23, read as Rome reads it: doing the Father's will is a condition of entry in its own right, so salvation is not apart from works.

\[ \begin{aligned} \text{(1)} \quad & P_{60} \\ \text{(2)} \quad & P_{61} \\ \text{(3)} \quad & (P_{60} \land P_{61}) \rightarrow \lnot P_{28} \\[4pt] \vdash \quad & \lnot P_{28} \end{aligned} \]

matthew7FaithLine — Matthew 7:21–23, read as the doing including faith

Matthew 7:21–23, read as Calvin reads it: the doing includes believing, so obedience is not a condition of entry in its own right.

\[ \begin{aligned} \text{(1)} \quad & P_{60} \\ \text{(2)} \quad & P_{62} \\ \text{(3)} \quad & (P_{60} \land P_{62}) \rightarrow \lnot P_{61} \\[4pt] \vdash \quad & \lnot P_{61} \end{aligned} \]

matthew7ObedienceCase — Matthew 7:21–23, read as obedience a condition of entry

Matthew 7:21–23, read as Rome reads it, as a party.

\[ \begin{aligned} \text{(1)} \quad & P_{60} \\ \text{(2)} \quad & P_{61} \\ \text{(3)} \quad & (P_{60} \land P_{61}) \rightarrow \lnot P_{28} \\[4pt] \vdash \quad & \lnot P_{28} \end{aligned} \]

No premise here rests on scripture alone.

matthew7FaithCase — Matthew 7:21–23, read as the doing including faith

Matthew 7:21–23, read as Calvin reads it, as a party.

\[ \begin{aligned} \text{(1)} \quad & P_{60} \\ \text{(2)} \quad & P_{62} \\ \text{(3)} \quad & (P_{60} \land P_{62}) \rightarrow \lnot P_{61} \\[4pt] \vdash \quad & \lnot P_{61} \end{aligned} \]

No premise here rests on scripture alone.

Matthew 19:16–22

matthew19ToWorks

The Catholic step from Matthew 19:17: if keeping the commandments is the way to life, salvation is not apart from works. Rated disputed: Calvin grants the text and denies that it is the way for any sinner.

\[ (P_{63} \land P_{64}) \rightarrow \lnot P_{28} \]

matthew19ToLegalReply

The Reformed step from Matthew 19:17: if Christ answers on the law's own terms to expose what the young man has not kept, the commandments are not offered as the way to life. Rated disputed: Veritatis Splendor grants the text and reads it as the way.

\[ (P_{63} \land P_{65}) \rightarrow \lnot P_{64} \]

matthew19WayLine — Matthew 19:17, read as the commandments the way to life

Matthew 19:17, read as Rome reads it: the commandments are the way to life, so salvation is not apart from works.

\[ \begin{aligned} \text{(1)} \quad & P_{63} \\ \text{(2)} \quad & P_{64} \\ \text{(3)} \quad & (P_{63} \land P_{64}) \rightarrow \lnot P_{28} \\[4pt] \vdash \quad & \lnot P_{28} \end{aligned} \]

matthew19LegalLine — Matthew 19:17, read as the law exposing what he has not kept

Matthew 19:17, read as Calvin reads it: a legal reply, exposing what the young man has not kept.

\[ \begin{aligned} \text{(1)} \quad & P_{63} \\ \text{(2)} \quad & P_{65} \\ \text{(3)} \quad & (P_{63} \land P_{65}) \rightarrow \lnot P_{64} \\[4pt] \vdash \quad & \lnot P_{64} \end{aligned} \]

matthew19WayCase — Matthew 19:17, read as the commandments the way to life

Matthew 19:17, read as Rome reads it, as a party.

\[ \begin{aligned} \text{(1)} \quad & P_{63} \\ \text{(2)} \quad & P_{64} \\ \text{(3)} \quad & (P_{63} \land P_{64}) \rightarrow \lnot P_{28} \\[4pt] \vdash \quad & \lnot P_{28} \end{aligned} \]

No premise here rests on scripture alone.

matthew19LegalCase — Matthew 19:17, read as the law exposing what he has not kept

Matthew 19:17, read as Calvin reads it, as a party.

\[ \begin{aligned} \text{(1)} \quad & P_{63} \\ \text{(2)} \quad & P_{65} \\ \text{(3)} \quad & (P_{63} \land P_{65}) \rightarrow \lnot P_{64} \\[4pt] \vdash \quad & \lnot P_{64} \end{aligned} \]

No premise here rests on scripture alone.

Readings, written down

romeOnJesusWordsReading

Rome's reading of Jesus' words: in Matthew 7 obedience is a condition of entry in its own right, in Matthew 19 the commandments are the way to life, and so salvation is not apart from works; faith, without the dispositions and the charity Trent requires, does not suffice.

def romeOnJesusWordsReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.salvationNotByWorks => False
    | Claim.justificationIsForensicOnly => False
    | Claim.justificationDistinctFromSanctification => False
    | Claim.faithIsSufficient => False
    | Claim.justificationByFaithAlone => False
    | Claim.matthew7DoingIncludesBelieving => False
    | Claim.matthew19LawExposesInability => False
    | x => True

calvinOnJesusWordsReading

Calvin's reading of Jesus' words: in Matthew 7 the doing includes believing and is not a condition of entry in its own right; in Matthew 19 Christ gives a legal reply, not the way to life; and in Luke the plea and the faith sufficed.

def calvinOnJesusWordsReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.matthew7ObedienceIsAGround => False
    | Claim.matthew19CommandmentsAreTheWayToLife => False
    | x => True

What each position holds

luke18Case_establishes

Luke 18 delivers faith's sufficiency, given its step.

theorem luke18Case_establishes : Establishes luke18Case
-- axioms: propext, Quot.sound

luke18Case_is_satisfiable

Luke 18's case can be held without contradiction.

theorem luke18Case_is_satisfiable : Satisfiable luke18Case.premises
-- axioms: propext, Quot.sound

trent_grants_the_parable

Trent's case is consistent with every word of the parable. Trent never cites Luke 18, but nothing in its decree denies that the tax collector pleaded for mercy, brought no meriting works, and went home justified by God's verdict: its case can be held with all of it, in Rome's reading, where faith without the dispositions does not suffice. What Trent's case, applied to the parable, denies is the step, not the text.

theorem trent_grants_the_parable : Grants tridentineCase (⋀[p
    Claim.luke18_9_14TaxCollectorJustified, p Claim.luke18JustifiedIsVerdict,
    p Claim.taxCollectorBringsNoWorks])
-- axioms: propext, Quot.sound

matthew7ObedienceCase_establishes

Matthew 7, read as Rome reads it, holds together and delivers its conclusion.

theorem matthew7ObedienceCase_establishes : Establishes matthew7ObedienceCase
-- axioms: propext, Quot.sound

matthew7ObedienceCase_is_satisfiable

Matthew 7, read as Rome reads it, can be held without contradiction.

theorem matthew7ObedienceCase_is_satisfiable : Satisfiable
    matthew7ObedienceCase.premises
-- axioms: propext, Quot.sound

matthew7FaithCase_establishes

Matthew 7, read as Calvin reads it, delivers its conclusion.

theorem matthew7FaithCase_establishes : Establishes matthew7FaithCase
-- axioms: propext, Quot.sound

matthew7FaithCase_is_satisfiable

Matthew 7, read as Calvin reads it, can be held without contradiction.

theorem matthew7FaithCase_is_satisfiable : Satisfiable
    matthew7FaithCase.premises
-- axioms: propext, Quot.sound

matthew19WayCase_establishes

Matthew 19, read as Rome reads it, delivers its conclusion.

theorem matthew19WayCase_establishes : Establishes matthew19WayCase
-- axioms: propext, Quot.sound

matthew19WayCase_is_satisfiable

Matthew 19, read as Rome reads it, can be held without contradiction.

theorem matthew19WayCase_is_satisfiable : Satisfiable
    matthew19WayCase.premises
-- axioms: propext, Quot.sound

matthew19LegalCase_establishes

Matthew 19, read as Calvin reads it, delivers its conclusion.

theorem matthew19LegalCase_establishes : Establishes matthew19LegalCase
-- axioms: propext, Quot.sound

matthew19LegalCase_is_satisfiable

Matthew 19, read as Calvin reads it, can be held without contradiction.

theorem matthew19LegalCase_is_satisfiable : Satisfiable
    matthew19LegalCase.premises
-- axioms: propext, Quot.sound

What the texts leave open

matthew7_leaves_the_ground_open

Matthew 7:21–23 leaves open whether obedience is a condition of entry in its own right. Its words — the criterion is doing the Father's will — neither say that the doing is such a condition nor that it is only the fruit of faith. Neither reading is what the text plainly says: both hold the words, and they differ only in what they add to them.

theorem matthew7_leaves_the_ground_open : Independent [p
    Claim.matthew7_21_23DoingTheWill] (p Claim.matthew7ObedienceIsAGround)
-- axioms: propext, Quot.sound

matthew19_leaves_the_way_open

Matthew 19:17 leaves open whether the commandments are the way to life. "If you would enter life, keep the commandments" is held alike by the reading on which it is the way, and by the reading on which it is a legal reply.

theorem matthew19_leaves_the_way_open : Independent [p
    Claim.matthew19_17KeepTheCommandments] (p
    Claim.matthew19CommandmentsAreTheWayToLife)
-- axioms: propext, Quot.sound

Why Luke 18 stands against Trent

whyLukeEighteenStandsAgainstTrent

Why Luke 18 stands against Trent. The crux is Luke 18's own step: from the parable, the verdict, and the plea without works, to faith's sufficiency. Trent cannot hold it: its definition of justification as the renewal of the inward man (Session VI, ch. 7), with the step from that definition to denying that faith suffices (canon 9), contradicts it — and both are needed. Nothing else in Trent's case does.

So Luke 18 meets Trent exactly where Luke 7:50 does (whyTheDominicalCaseStandsAgainstTrent): not over what the parable says, which Trent's case is consistent with, but over what justification is. The dispositions of chapter 6 are why the step is rated disputed, but they are not a premise of Trent's case here; what the check breaks is Trent's definition in chapter 7, with the step from it to canon 9. What can be shown against that definition from the meaning of the word, and what cannot, is checked in whatTrentsDefinitionClaims.

Why Luke 18:14: "this man went down to his house justified" stands against Trent, against 'not by works'.

  • The crux: \((P_{57} \land P_{58} \land P_{59}) \rightarrow P_{26}\), a premise of Luke 18:14: "this man went down to his house justified".
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{57}\), \(P_{58}\), \(P_{59}\), which the break also needs.
  • Where the rival breaks: \(P_{33}\), \(P_{33} \rightarrow \lnot P_{26}\) cannot be held together with \((P_{57} \land P_{58} \land P_{59}) \rightarrow P_{26}\) and \(P_{57}\), \(P_{58}\), \(P_{59}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

A party's weakest link is the lowest-rated premise or step it rests on. An attack fails only when the party attacked is rated above its attacker at that link. Luke 18's words and its verdict are rated above disputed, but its step is not, and each Matthean reading rests on a reading rated disputed. Here every weakest link is disputed (written 0), so every attack stands.

luke18Case_strength

Luke 18's case rests on a step Trent contests: its weakest link is disputed.

theorem luke18Case_strength : luke18Case.strength = 0
-- axioms: propext

matthew7ObedienceCase_strength

Matthew 7, read as Rome reads it, rests on its reading: its weakest link is disputed.

theorem matthew7ObedienceCase_strength : matthew7ObedienceCase.strength = 0
-- axioms: propext

matthew7FaithCase_strength

Matthew 7, read as Calvin reads it, rests on his: its weakest link is disputed.

theorem matthew7FaithCase_strength : matthew7FaithCase.strength = 0
-- axioms: propext

matthew19WayCase_strength

Matthew 19, read as Rome reads it, rests on its reading: its weakest link is disputed.

theorem matthew19WayCase_strength : matthew19WayCase.strength = 0
-- axioms: propext

matthew19LegalCase_strength

Matthew 19, read as Calvin reads it, rests on his: its weakest link is disputed.

theorem matthew19LegalCase_strength : matthew19LegalCase.strength = 0
-- axioms: propext

The dispute over Jesus' words

wordsPartyNode

The package each party argues from.

def wordsPartyNode : WordsParty → ArgumentPackage Claim :=
  fun x =>
    match x with
    | WordsParty.luke7 => dominicalCase
    | WordsParty.luke18 => luke18Case
    | WordsParty.trent => tridentineCase
    | WordsParty.matthew7Obedience => matthew7ObedienceCase
    | WordsParty.matthew7Faith => matthew7FaithCase
    | WordsParty.matthew19Way => matthew19WayCase
    | WordsParty.matthew19Legal => matthew19LegalCase

jesusWordsDispute

The dispute over Jesus' words: every party's premises can be held without contradiction, every party establishes its conclusion, and every party's inferences are rated.

def jesusWordsDispute : Dispute Claim WordsParty :=
  { node := wordsPartyNode,
    consistent := jesusWordsDispute._proof_1,
    sound := jesusWordsDispute._proof_2,
    rated := jesusWordsDispute._proof_10 }

lukeWithRomeOnMatthewReading

Rome's readings of Matthew stand with Luke's sayings. One world holds Luke 7:50 and Luke 18 — faith sufficed — and Rome's readings of Matthew 7 and 19 — salvation is not apart from works. As encoded, faith's sufficiency and "not apart from works" are different claims, and Luke's sayings make only the first: whoever holds both is not contradicted by these texts. It takes neither of Trent's further claims: baptism as the instrument of justification, and justification as including sanctification.

def lukeWithRomeOnMatthewReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.salvationNotByWorks => False
    | Claim.matthew7DoingIncludesBelieving => False
    | Claim.matthew19LawExposesInability => False
    | Claim.baptismIsInstrumentalCause => False
    | Claim.justificationIncludesSanctification => False
    | x => True

luke_stands_with_rome_on_matthew

Luke's two sayings stand with Rome's readings of Matthew.

theorem luke_stands_with_rome_on_matthew : jesusWordsDispute.StandTogether
    [WordsParty.luke7, WordsParty.luke18, WordsParty.matthew7Obedience,
    WordsParty.matthew19Way]
-- axioms: propext, Classical.choice, Quot.sound

wordsPartyDefeats

The defeats of the dispute, as a table.

def wordsPartyDefeats : WordsParty → WordsParty → Prop :=
  fun x x_1 =>
    match x, x_1 with
    | WordsParty.luke7, WordsParty.trent => True
    | WordsParty.trent, WordsParty.luke7 => True
    | WordsParty.luke18, WordsParty.trent => True
    | WordsParty.trent, WordsParty.luke18 => True
    | WordsParty.matthew7Obedience,
      WordsParty.matthew7Faith => True
    | WordsParty.matthew7Faith,
      WordsParty.matthew7Obedience => True
    | WordsParty.matthew19Way, WordsParty.matthew19Legal =>
      True
    | WordsParty.matthew19Legal, WordsParty.matthew19Way =>
      True
    | x, x_2 => False

instDecidableRelWordsPartyWordsPartyDefeats

The table is finite, so membership in it is decidable.

def instDecidableRelWordsPartyWordsPartyDefeats : DecidableRel
    wordsPartyDefeats

wordsPartyStrength

Each party's weakest link: disputed for every one.

def wordsPartyStrength : WordsParty → ℕ :=
  fun x => 0

wordsPartyNode_strength

Each party's weakest link, as its package computes it.

theorem wordsPartyNode_strength : ∀ (i : WordsParty), (wordsPartyNode
    i).strength = wordsPartyStrength i
-- axioms: propext

jesusWordsDispute_defeats

Who defeats whom, all 49 pairs: four standoffs, and nothing else. Luke 7:50 and Trent defeat each other, and so do Luke 18 and Trent, over Trent's definition of justification; each Matthean reading defeats its rival, and is defeated back. Every cell is computed from the parties' premises by Horn.defeats? and checked by the kernel.

theorem jesusWordsDispute_defeats : ∀ (i j : WordsParty),
    jesusWordsDispute.defeats i j ↔ wordsPartyDefeats i j
-- axioms: propext, Classical.choice, Quot.sound

jesusWordsFinite

The dispute in the form the verdict solver computes with.

def jesusWordsFinite : Solver.Finite jesusWordsDispute.defeats :=
  {
    parties :=
      [WordsParty.luke7, WordsParty.luke18,
        WordsParty.trent, WordsParty.matthew7Obedience,
        WordsParty.matthew7Faith, WordsParty.matthew19Way,
        WordsParty.matthew19Legal],
    complete := jesusWordsFinite._proof_1,
    defeats := fun i j => decide (wordsPartyDefeats i j),
    spec := jesusWordsFinite._proof_2 }

jesusWordsDispute_supports

Nothing supports anything, and no party's case is part of another's, in all 49 pairs. Every cell is computed by supports? and checked by the kernel.

theorem jesusWordsDispute_supports : ∀ (i j : WordsParty),
    ¬jesusWordsDispute.supports i j
-- axioms: propext, Classical.choice, Quot.sound

jesusWordsDispute_partOf

Each party's case is part of its own and of no other's. Every cell is computed by partOf? and checked by the kernel.

theorem jesusWordsDispute_partOf : ∀ (i j : WordsParty),
    jesusWordsDispute.partOf i j ↔ i = j
-- axioms: propext, Classical.choice, Quot.sound

jesusWordsMap

The dispute over Jesus' words drawn: who defeats whom.

1 2 3 4 5 6 7

Solid red: defeats. Dashed green: supports. Dotted blue: one party's case is part of another's.

#Party
1Luke 7:50: "your faith has saved you"
2Luke 18:14: "this man went down to his house justified"
3Trent, against 'not by works'
4Matthew 7:21–23, read as obedience a condition of entry
5Matthew 7:21–23, read as the doing including faith
6Matthew 19:17, read as the commandments the way to life
7Matthew 19:17, read as the law exposing what he has not kept
FromToEdge
1 Luke 7:50: "your faith has saved you"3 Trent, against 'not by works'defeats
2 Luke 18:14: "this man went down to his house justified"3 Trent, against 'not by works'defeats
3 Trent, against 'not by works'1 Luke 7:50: "your faith has saved you"defeats
3 Trent, against 'not by works'2 Luke 18:14: "this man went down to his house justified"defeats
4 Matthew 7:21–23, read as obedience a condition of entry5 Matthew 7:21–23, read as the doing including faithdefeats
5 Matthew 7:21–23, read as the doing including faith4 Matthew 7:21–23, read as obedience a condition of entrydefeats
6 Matthew 19:17, read as the commandments the way to life7 Matthew 19:17, read as the law exposing what he has not keptdefeats
7 Matthew 19:17, read as the law exposing what he has not kept6 Matthew 19:17, read as the commandments the way to lifedefeats

The defeats are the cells of jesusWordsDispute_defeats, the supports the cells of jesusWordsDispute_supports and the parts the cells of jesusWordsDispute_partOf, each computed from the parties' premises and checked by the kernel. The attacks derived through support and through parts are reported, not counted: every verdict is computed from the defeats alone. Every derived attack is already a defeat.

What the dispute decides

A few words recur. Forced: accepted however every standoff is resolved. Can be defended: held by some consistent position that answers every attack on its members. Not forced: some consistent position leaves it out — which is not the same as false. A maximal defensible position is one no other party can be added to without losing that.

jesusWordsSettleNothing

Why nothing is forced: every party has a defeater. Luke 7:50 and Luke 18 each have Trent, Trent has Luke 7:50, and each reading of Matthew has its rival.

Nothing prevails outright: every party is defeated by another.

  • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you".
  • Trent, against 'not by works' defeats Luke 18:14: "this man went down to his house justified".
  • Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
  • Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry.
  • Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith.
  • Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life.
  • Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept.

What this rests on. The reasons state 7 defeats and 0 absences of defeat, each a cell of the defeat table, jesusWordsDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

jesus_words_force_nothing

Heard together, Jesus' words force nothing. Every party is in a standoff the dispute cannot resolve — each Luke saying with Trent, over what justification is, and each reading of Matthew with its rival — and every weakest link is disputed, so no rating breaks a tie.

What this does not claim: that Jesus' words are silent. Each party can be defended, and Trent grants every word of Luke 18 (trent_grants_the_parable). What the dispute cannot do is choose between readings rated alike.

theorem jesus_words_force_nothing : Framework.grounded
    jesusWordsDispute.defeats = ∅
-- axioms: propext, Classical.choice, Quot.sound

luke18StandsWithLuke7

Why Luke 18 can be defended: it stands with Luke 7:50 and with Rome's readings of Matthew, and Trent, its one defeater, is defeated from within that position: by Luke 7:50, and by Luke 18 itself.

Luke 18:14: "this man went down to his house justified" is accepted on some resolution.

  • A position holding Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as obedience a condition of entry, Matthew 19:17, read as the commandments the way to life can be held.
  • None of Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as obedience a condition of entry, Matthew 19:17, read as the commandments the way to life defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Luke 18:14: "this man went down to his house justified", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry, and Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith.
    • Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life, and Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept.

What this rests on. The reasons state 7 defeats and 24 absences of defeat, each a cell of the defeat table, jesusWordsDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

luke18_defensible

Luke 18 can be defended. Some maximal defensible position holds it, with Luke 7:50. Its only defeater is Trent, over Trent's definition of justification, and it defeats Trent back. It does not conflict with either reading of Matthew: the position that holds it here holds Rome's readings of Matthew 7 and 19 as well (luke_stands_with_rome_on_matthew), and the position that holds Calvin's readings holds it too (matthew7RomeAnsweredByCalvin).

theorem luke18_defensible : Framework.CredulouslyAccepted
    jesusWordsDispute.defeats WordsParty.luke18
-- axioms: propext, Classical.choice, Quot.sound

luke18AnsweredByTrent

Why Luke 18 is not forced: a defensible position holds Trent, and Trent defeats it.

Luke 18:14: "this man went down to his house justified" is not accepted on every resolution.

  • A position holding Trent, against 'not by works', Matthew 7:21–23, read as obedience a condition of entry, Matthew 19:17, read as the commandments the way to life can be held, and it holds Trent, against 'not by works'; Trent, against 'not by works' conflicts with Luke 18:14: "this man went down to his house justified": Trent, against 'not by works' defeats Luke 18:14: "this man went down to his house justified", and Luke 18:14: "this man went down to his house justified" defeats Trent, against 'not by works'.
  • None of Trent, against 'not by works', Matthew 7:21–23, read as obedience a condition of entry, Matthew 19:17, read as the commandments the way to life defeats another, and each attack on them is answered from among them:
    • Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you".
    • Luke 18:14: "this man went down to his house justified" defeats Trent, against 'not by works', and Trent, against 'not by works' defeats Luke 18:14: "this man went down to his house justified".
    • Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry, and Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith.
    • Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life, and Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept.

What this rests on. The reasons state 8 defeats and 17 absences of defeat, each a cell of the defeat table, jesusWordsDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 18:14: "this man went down to his house justified" defeats Trent, against 'not by works', at the level of the claims: whyLukeEighteenStandsAgainstTrent.

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

luke18_not_forced

Nor is Luke 18 forced. A maximal defensible position holds Trent, and cannot hold Luke 18 with it. What would decide is the step from the plea to "faith suffices" — rated disputed, because Trent requires the dispositions of chapter 6 and anathematises "nothing else is required" (canon 9) — and behind it Trent's definition of justification (whyLukeEighteenStandsAgainstTrent).

theorem luke18_not_forced : ¬Framework.SkepticallyAccepted
    jesusWordsDispute.defeats WordsParty.luke18
-- axioms: propext, Classical.choice, Quot.sound

matthew7RomeAnsweredByCalvin

Why Rome's reading of Matthew 7 is not forced: a defensible position holds Calvin's, and it defeats Rome's.

Matthew 7:21–23, read as obedience a condition of entry is not accepted on every resolution.

  • A position holding Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as the doing including faith, Matthew 19:17, read as the law exposing what he has not kept can be held, and it holds Matthew 7:21–23, read as the doing including faith; Matthew 7:21–23, read as the doing including faith conflicts with Matthew 7:21–23, read as obedience a condition of entry: Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry, and Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith.
  • None of Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as the doing including faith, Matthew 19:17, read as the law exposing what he has not kept defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Luke 18:14: "this man went down to his house justified", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith, and Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry.
    • Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept, and Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life.

What this rests on. The reasons state 7 defeats and 24 absences of defeat, each a cell of the defeat table, jesusWordsDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

matthew7_rome_reading_not_forced

Rome's reading of Matthew 7 is not forced. A maximal defensible position holds Calvin's reading — the doing includes believing, and is not a condition of entry in its own right — and cannot hold Rome's with it.

theorem matthew7_rome_reading_not_forced : ¬Framework.SkepticallyAccepted
    jesusWordsDispute.defeats WordsParty.matthew7Obedience
-- axioms: propext, Classical.choice, Quot.sound

matthew7CalvinAnsweredByRome

Why Calvin's reading of Matthew 7 is not forced: a defensible position holds Rome's, and it defeats Calvin's.

Matthew 7:21–23, read as the doing including faith is not accepted on every resolution.

  • A position holding Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as obedience a condition of entry, Matthew 19:17, read as the commandments the way to life can be held, and it holds Matthew 7:21–23, read as obedience a condition of entry; Matthew 7:21–23, read as obedience a condition of entry conflicts with Matthew 7:21–23, read as the doing including faith: Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith, and Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry.
  • None of Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as obedience a condition of entry, Matthew 19:17, read as the commandments the way to life defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Luke 18:14: "this man went down to his house justified", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry, and Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith.
    • Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life, and Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept.

What this rests on. The reasons state 7 defeats and 24 absences of defeat, each a cell of the defeat table, jesusWordsDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

matthew7_calvin_reading_not_forced

Nor is Calvin's. A maximal defensible position holds Rome's reading — obedience a condition of entry — and cannot hold Calvin's with it. Between the two readings of Matthew 7 the dispute chooses neither, as the text itself does not (matthew7_leaves_the_ground_open).

theorem matthew7_calvin_reading_not_forced : ¬Framework.SkepticallyAccepted
    jesusWordsDispute.defeats WordsParty.matthew7Faith
-- axioms: propext, Classical.choice, Quot.sound

matthew19RomeAnsweredByCalvin

Why Rome's reading of Matthew 19 is not forced: a defensible position holds Calvin's, and it defeats Rome's.

Matthew 19:17, read as the commandments the way to life is not accepted on every resolution.

  • A position holding Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as the doing including faith, Matthew 19:17, read as the law exposing what he has not kept can be held, and it holds Matthew 19:17, read as the law exposing what he has not kept; Matthew 19:17, read as the law exposing what he has not kept conflicts with Matthew 19:17, read as the commandments the way to life: Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life, and Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept.
  • None of Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as the doing including faith, Matthew 19:17, read as the law exposing what he has not kept defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Luke 18:14: "this man went down to his house justified", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith, and Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry.
    • Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept, and Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life.

What this rests on. The reasons state 7 defeats and 24 absences of defeat, each a cell of the defeat table, jesusWordsDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

matthew19_rome_reading_not_forced

Rome's reading of Matthew 19 is not forced. A maximal defensible position holds Calvin's reading — a legal reply, exposing what the young man has not kept — and cannot hold Rome's with it.

theorem matthew19_rome_reading_not_forced : ¬Framework.SkepticallyAccepted
    jesusWordsDispute.defeats WordsParty.matthew19Way
-- axioms: propext, Classical.choice, Quot.sound

matthew19CalvinAnsweredByRome

Why Calvin's reading of Matthew 19 is not forced: a defensible position holds Rome's, and it defeats Calvin's.

Matthew 19:17, read as the law exposing what he has not kept is not accepted on every resolution.

  • A position holding Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as obedience a condition of entry, Matthew 19:17, read as the commandments the way to life can be held, and it holds Matthew 19:17, read as the commandments the way to life; Matthew 19:17, read as the commandments the way to life conflicts with Matthew 19:17, read as the law exposing what he has not kept: Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept, and Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life.
  • None of Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified", Matthew 7:21–23, read as obedience a condition of entry, Matthew 19:17, read as the commandments the way to life defeats another, and each attack on them is answered from among them:
    • Trent, against 'not by works' defeats Luke 7:50: "your faith has saved you", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Trent, against 'not by works' defeats Luke 18:14: "this man went down to his house justified", and Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works'.
    • Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry, and Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith.
    • Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life, and Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept.

What this rests on. The reasons state 7 defeats and 24 absences of defeat, each a cell of the defeat table, jesusWordsDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

Why Luke 7:50: "your faith has saved you" defeats Trent, against 'not by works', at the level of the claims: whyTheDominicalCaseStandsAgainstTrent.

matthew19_calvin_reading_not_forced

Nor is Calvin's. A maximal defensible position holds Rome's reading — the commandments the way to life — and cannot hold Calvin's with it. Between the two readings of Matthew 19 the dispute chooses neither (matthew19_leaves_the_way_open).

theorem matthew19_calvin_reading_not_forced : ¬Framework.SkepticallyAccepted
    jesusWordsDispute.defeats WordsParty.matthew19Legal
-- axioms: propext, Classical.choice, Quot.sound

Heard without Trent

jesusWordsWithoutTrent

Every party but Trent: Luke's two sayings, and both readings of each Matthean passage.

def jesusWordsWithoutTrent : Dispute Claim { i // i ≠ WordsParty.trent } :=
  jesusWordsDispute.restrict fun x => x ≠ WordsParty.trent

jesusWordsWithoutTrentFinite

The hearing, in the form the verdict solver computes with.

def jesusWordsWithoutTrentFinite : Solver.Finite fun i j =>
    jesusWordsDispute.defeats ↑i ↑j :=
  jesusWordsFinite.restrict fun x => x ≠ WordsParty.trent

withoutTrentLukeSettles

How the hearing is settled: with Trent unheard, nothing attacks Luke 7:50 or Luke 18, so both come first; and nothing joins them, because each reading of Matthew still has its rival.

What the dispute forces is exactly Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified".

  • Stage 1: Luke 7:50: "your faith has saved you", Luke 18:14: "this man went down to his house justified".
    • Luke 7:50: "your faith has saved you" is defeated by nothing.
    • Luke 18:14: "this man went down to his house justified" is defeated by nothing.
  • Nothing else is forced:
    • Matthew 7:21–23, read as the doing including faith defeats Matthew 7:21–23, read as obedience a condition of entry, and nothing forced defeats Matthew 7:21–23, read as the doing including faith.
    • Matthew 7:21–23, read as obedience a condition of entry defeats Matthew 7:21–23, read as the doing including faith, and nothing forced defeats Matthew 7:21–23, read as obedience a condition of entry.
    • Matthew 19:17, read as the law exposing what he has not kept defeats Matthew 19:17, read as the commandments the way to life, and nothing forced defeats Matthew 19:17, read as the law exposing what he has not kept.
    • Matthew 19:17, read as the commandments the way to life defeats Matthew 19:17, read as the law exposing what he has not kept, and nothing forced defeats Matthew 19:17, read as the commandments the way to life.

What this rests on. The reasons state 4 defeats and 20 absences of defeat, each a cell of the defeat table, jesusWordsDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

without_trent_luke_is_forced

Without Trent, Luke's two sayings are forced, and Matthew is not. Heard without Trent, nothing attacks "your faith has saved you" or the tax collector justified: faith's sufficiency, from Jesus' own words, is forced twice over. The readings of Matthew 7 and 19 still stand off, each against its rival, because they conflict with each other and not with Luke.

What this does not claim: that faith alone is forced. Luke's sayings claim that faith sufficed, not that nothing else is a condition; and Rome's readings of Matthew, which say that salvation is not apart from works, can be held with them (luke_stands_with_rome_on_matthew).

theorem without_trent_luke_is_forced : Framework.grounded
    jesusWordsWithoutTrent.defeats = Solver.toSet (Witness.listSub (fun x => x
    ≠ WordsParty.trent) [WordsParty.luke7, WordsParty.luke18])
-- axioms: propext, Classical.choice, Quot.sound

TestimonyArguments.SolaFide.Baptism — the baptisms kept apart, and Trent's instrumental cause

Trent makes baptism "the instrumental cause" of justification: "the sacrament of baptism, which is the sacrament of faith, without which (faith) no man was ever justified" (Session VI, ch. 7) — the "without which" is faith, not baptism, as Waterworth's bracket says. The Reformed hold baptism as Christ's own ordinance, a sign and seal of the covenant of grace (Westminster XXVIII.1), and faith as "the alone instrument of justification" (XI.2). A reader asks: does the New Testament make water baptism the instrument that justifies?

A step here is disputed when a cited reader grants its grounds and denies its conclusion; well supported when no such reader was found; consensus when every side grants it.

The baptisms, kept apart

"Baptism" names three things in the New Testament, and each is its own atom here, so that no argument passes from one to another unnoticed.

  • Water: John's baptism, and the one Christ commands (Matthew 28:19; Acts 2:38). Trent's instrumental cause is this one. It is not a "commandment of men" — Jesus commands it — so the argument from Mark 7 against human tradition (in the sola scriptura argument) does not reach it as such. The dispute is over the role Trent gives it.
  • The Spirit: "he will baptize you with the Holy Spirit". In Acts it comes after the water (Samaria, 8:14–17) and before it (Cornelius, 10:44–48).
  • "And fire" (Matthew 3:11; Luke 3:16): judgment — the chaff burned, as Gregory Nazianzen reads it; purification, as Calvin does; or Pentecost's tongues "as of fire", as Cyril of Jerusalem does. The readings are encoded, and no winner: the text alone settles none of them (the_baptist_leaves_the_fire_open and its companions).

What Trent's instrumental cause claims

Trent qualifies its own claim. Justification "cannot be effected, without the laver of regeneration, or the desire thereof" (ch. 4). So the claim can be read two ways, and whatTrentsInstrumentalCauseClaims answers both.

  • Read so that the washing itself is necessary for salvation — Feeney's reading: desire may justify, but "It is now: Baptism of Water, or damnation!" No reader was found who holds the water itself necessary for justification: Feeney too grants that desire justifies. Read Feeney's way, the claim cannot be held with the thief promised paradise unbaptised (Luke 23:43), read as Augustine reads him, nor with Rome's own teaching that the desire "assures them the salvation" (Catechism 1259). Both steps are well supported.
  • Read as baptism or its desire — Trent's own words — the thief does not reach it. What it meets is the question the desire raises: where only the desire is present, what justifies is not the washing, since the desire "brings about the fruits of Baptism without being a sacrament" (Catechism 1258). Then what is the instrument, and how does it differ from faith? The Reformed answer is that it is faith, and the sacrament is not the instrument. Aquinas grants the premises and denies that: the desire is for the sacrament, and when the sacrament follows, it gives "a yet greater fulness of grace". The step is disputed.

So neither reading is forced out by what is argued here. The first is answered by texts and teaching Rome itself holds; the second stands at a disputed step, where the question is whether the desire is faith by another name.

John 3:5

"Unless one is born of water and the Spirit" is the text Trent cites in chapter 4, and Session VII anathematises whoever "wrests, to some sort of metaphor" its water. whatJohnThreeFiveMeans takes the four readings of "water" that are on record: baptismal water (Trent; most patristic readers, as Calvin reports); natural birth (Oliver); the cleansing promised in Ezekiel 36:25–27 (Carson); and the Spirit's own cleansing, "water and Spirit" naming one thing (Calvin). What is ambiguous is the verse Trent cites, not Trent: Trent argues from the verse to water baptism, and each reading is a reading of the verse's "water". Only the baptismal reading leaves Trent's step standing; the other three each break it, at a well-supported step. The baptismal reading cannot be held together with Calvin's: the step from his reading is well supported, but his reading itself is disputed, and Trent anathematises it. Even on the baptismal reading Trent's step stays disputed — Calvin grants the verse and denies that it requires water baptism. Which reading is right, the dilemma does not decide.

Acts gives both orders

In Samaria the water comes first and the Spirit after; at Caesarea the Spirit comes first and the water after. The Reformed argue from this that the Spirit is not bound to the water: Calvin on Acts 10:47, "the Spirit is not included in baptism". Rome grants it in its own words: "God has bound salvation to the sacrament of Baptism, but he himself is not bound by his sacraments" (Catechism 1257). So that God is not bound to the water is common ground (trent_grants_god_is_not_bound), and not a Reformed win; Calvin's further claim, that the Spirit is not included in the sign, is not what Rome grants. What remains in dispute is the first half of the Catechism's sentence — that God has bound salvation to the sacrament — and Trent's further claim that the sacrament is the instrument of justification, the question above.

Trent's instrumental cause, and its readings

trentOnBaptism — Trent: baptism the instrumental cause of justification

Trent's instrumental cause, as Trent states it: water baptism is the instrumental cause of justification.

\[ \begin{aligned} \text{(1)} \quad & P_{66} \\[4pt] \vdash \quad & P_{66} \end{aligned} \]

No premise here rests on scripture alone.

feeneyReadsTrent

Reading the instrumental cause so that the washing itself is necessary for salvation — Feeney's reading. Rated disputed: Rome's own teaching denies it (Catechism 1258–1260).

def feeneyReadsTrent : Source :=
  { primary := Reference.work feeneyBreadOfLife,
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

trentReadsItsOwnClaim

Reading the instrumental cause as Trent's chapter 4 qualifies it: the laver of regeneration, or the desire thereof. Rated consensus, as what Trent says.

def trentReadsItsOwnClaim : Source :=
  { primary := Reference.work waterworthTrent (Bib.Locus.page 32),
    tradition := Tradition.romanCatholic, confidence := Confidence.consensus }

asTheWaterItself

The instrumental cause, read so that the washing itself is necessary for salvation.

def asTheWaterItself : Reading Claim :=
  { name := "so that the washing itself is necessary for salvation",
    commits := p Claim.waterItselfNecessaryForSalvation,
    source := feeneyReadsTrent }

asBaptismOrItsDesire

The instrumental cause, read as baptism or its desire.

def asBaptismOrItsDesire : Reading Claim :=
  { name := "as baptism or the desire of it",
    commits := p Claim.baptismOrItsDesire,
    source := trentReadsItsOwnClaim }

trentOnTheWaterItself — Trent: baptism the instrumental cause of justification, read so that the washing itself is necessary for salvation

Trent's instrumental cause, read so that the washing itself is necessary.

\[ \begin{aligned} \text{(1)} \quad & P_{66} \\ \text{(2)} \quad & P_{66} \rightarrow P_{67} \\[4pt] \vdash \quad & P_{66} \end{aligned} \]

No premise here rests on scripture alone.

trentOnBaptismOrDesire — Trent: baptism the instrumental cause of justification, read as baptism or the desire of it

Trent's instrumental cause, read as baptism or its desire.

\[ \begin{aligned} \text{(1)} \quad & P_{66} \\ \text{(2)} \quad & P_{66} \rightarrow P_{68} \\[4pt] \vdash \quad & P_{66} \end{aligned} \]

No premise here rests on scripture alone.

What each reading meets

thiefToNotNecessary

From the thief to the washing not being necessary: promised paradise unbaptised, and his case bearing on salvation under the Gospel.

\[ (P_{70} \land P_{71}) \rightarrow \lnot P_{67} \]

thiefCase — The thief on the cross (Luke 23:43), read with Augustine

The thief on the cross, read as Augustine reads him: the washing itself is not necessary for salvation.

\[ \begin{aligned} \text{(1)} \quad & P_{70} \\ \text{(2)} \quad & P_{71} \\ \text{(3)} \quad & (P_{70} \land P_{71}) \rightarrow \lnot P_{67} \\[4pt] \vdash \quad & \lnot P_{67} \end{aligned} \]

No premise here rests on scripture alone.

desireToNotNecessary

From the desire's fruits to the washing not being necessary.

\[ P_{69} \rightarrow \lnot P_{67} \]

desireCase — The desire for baptism (Catechism 1258–1259)

Rome's own teaching on the desire: it brings about the fruits of baptism, so the washing itself is not necessary for salvation.

\[ \begin{aligned} \text{(1)} \quad & P_{69} \\ \text{(2)} \quad & P_{69} \rightarrow \lnot P_{67} \\[4pt] \vdash \quad & \lnot P_{67} \end{aligned} \]

No premise here rests on scripture alone.

desireToNotTheInstrument

The Reformed step from the desire: if justification needs only the laver or the desire, and the desire alone brings the fruits of baptism without the sacrament, then the sacrament is not the instrument of justification. Held by Westminster (XXVIII.5; XI.2); rated disputed, because Aquinas grants the grounds and denies it.

\[ (P_{68} \land P_{69}) \rightarrow \lnot P_{66} \]

reformedOnTheDesire — What justifies where only the desire is present

The question the desire raises: where only the desire is present, what justifies is not the washing, so the washing is not the instrument. The Reformed answer to Trent read in its own words.

\[ \begin{aligned} \text{(1)} \quad & P_{68} \\ \text{(2)} \quad & P_{69} \\ \text{(3)} \quad & (P_{68} \land P_{69}) \rightarrow \lnot P_{66} \\[4pt] \vdash \quad & \lnot P_{66} \end{aligned} \]

No premise here rests on scripture alone.

Readings, written down

romeOnBaptismReading

Rome's world: baptism the instrumental cause, the desire for it bringing its fruits, the thief saved, God not bound to his sacraments, the water of John 3:5 baptismal; and the washing itself not necessary for salvation. Baptism a means of justification, faith is not its only means; and justification includes sanctification, so it is not forensic only.

def romeOnBaptismReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.paulsJustifyDenotesRenewal => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.jamesUsesDikaioAsPaul => False
    | Claim.waterItselfNecessaryForSalvation => False
    | Claim.john3_5WaterIsNaturalBirth => False
    | Claim.john3_5WaterIsEzekielsCleansing => False
    | Claim.john3_5WaterIsTheSpiritsCleansing => False
    | Claim.justificationByFaithAlone => False
    | Claim.justificationIsForensicOnly => False
    | x => True

feeneyReading

One world in which Feeney's reading holds: baptism the instrumental cause, and the washing itself necessary for salvation. It must deny that the thief's case bears on the Gospel, and that the desire brings the fruits that save. The first denial is what his reading requires, not a sentence quoted from him. With Trent, it denies that faith is the only means of justification, and that justification is forensic only.

def feeneyReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.thiefBearsOnTheGospel => False
    | Claim.desireBringsFruitsWithoutTheSacrament => False
    | Claim.john3_5WaterIsNaturalBirth => False
    | Claim.john3_5WaterIsEzekielsCleansing => False
    | Claim.john3_5WaterIsTheSpiritsCleansing => False
    | Claim.justificationByFaithAlone => False
    | Claim.justificationIsForensicOnly => False
    | x => True

reformedOnBaptismReading

The Reformed world: faith the instrument, and baptism not; justification the remission of sins, not sanctification; the desire brings the fruits, the thief is saved, and God is not bound to water. The water of John 3:5 is the Spirit's own cleansing, and the verse does not require water baptism.

def reformedOnBaptismReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.baptismIsInstrumentalCause => False
    | Claim.waterItselfNecessaryForSalvation => False
    | Claim.john3_5RequiresWaterBaptism => False
    | Claim.john3_5WaterIsBaptism => False
    | Claim.justificationIncludesSanctification => False
    | x => True

Each position holds

trentOnBaptism_establishes

Trent's claim follows from its premises — trivially, since its one premise is the claim itself. This records the position; it does not argue for it.

theorem trentOnBaptism_establishes : Establishes trentOnBaptism
-- axioms: propext

trentOnBaptism_is_satisfiable

Trent's instrumental cause, as stated, can be held without contradiction.

theorem trentOnBaptism_is_satisfiable : Satisfiable trentOnBaptism.premises
-- axioms: propext, Quot.sound

trentOnTheWaterItself_is_satisfiable

The first reading is fair: taken by itself, Trent read Feeney's way contradicts nothing, so it is not a straw man.

theorem trentOnTheWaterItself_is_satisfiable : Satisfiable
    trentOnTheWaterItself.premises
-- axioms: propext, Quot.sound

trentOnBaptismOrDesire_is_satisfiable

The second reading is fair: Trent read in its own words can be held without contradiction.

theorem trentOnBaptismOrDesire_is_satisfiable : Satisfiable
    trentOnBaptismOrDesire.premises
-- axioms: propext, Quot.sound

thiefCase_establishes

Grant the thief promised paradise unbaptised, and his case bearing on the Gospel, and it follows that the washing itself is not necessary for salvation.

theorem thiefCase_establishes : Establishes thiefCase
-- axioms: propext, Quot.sound

thiefCase_is_satisfiable

The thief's case can be held without contradiction.

theorem thiefCase_is_satisfiable : Satisfiable thiefCase.premises
-- axioms: propext, Quot.sound

desireCase_establishes

Grant Rome's own teaching that the desire brings the fruits of baptism, and the same follows.

theorem desireCase_establishes : Establishes desireCase
-- axioms: propext, Quot.sound

desireCase_is_satisfiable

The desire's case can be held without contradiction.

theorem desireCase_is_satisfiable : Satisfiable desireCase.premises
-- axioms: propext, Quot.sound

reformedOnTheDesire_establishes

The Reformed answer delivers its conclusion, given its step: the sacrament is not the instrument of justification.

theorem reformedOnTheDesire_establishes : Establishes reformedOnTheDesire
-- axioms: propext, Quot.sound

reformedOnTheDesire_is_satisfiable

The Reformed answer can be held without contradiction.

theorem reformedOnTheDesire_is_satisfiable : Satisfiable
    reformedOnTheDesire.premises
-- axioms: propext, Quot.sound

the_thief_does_not_reach_the_desire

The thief does not reach Trent read in its own words. Trent's instrumental cause, as baptism or its desire, can be held with everything the thief's case says: the thief had the desire, and the desire saves.

theorem the_thief_does_not_reach_the_desire : Satisfiable (thiefCase.premises
    ++ trentOnBaptismOrDesire.premises)
-- axioms: propext, Quot.sound

Where each reading breaks

whereTheThiefMeetsFeeney

Why the thief stands against Feeney's reading. The crux is the step from the thief: promised paradise unbaptised, his case bearing on the Gospel, so the washing itself is not necessary for salvation. What it breaks is Trent's claim with Feeney's reading of it, and nothing else.

Why The thief on the cross (Luke 23:43), read with Augustine stands against Trent: baptism the instrumental cause of justification, read so that the washing itself is necessary for salvation.

  • The crux: \((P_{70} \land P_{71}) \rightarrow \lnot P_{67}\), a premise of The thief on the cross (Luke 23:43), read with Augustine.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{70}\), \(P_{71}\), which the break also needs.
  • Where the rival breaks: \(P_{66}\), \(P_{66} \rightarrow P_{67}\) cannot be held together with \((P_{70} \land P_{71}) \rightarrow \lnot P_{67}\) and \(P_{70}\), \(P_{71}\); each is needed for the break, and without the crux they stand.
  • What this rests on:
    • \(P_{70}\) Luke 23:43 — the thief, unbaptised, is promised paradise — consensus: Luke 23:43; npnf1-04-1887, §On Baptism IV.23.31
    • \(P_{71}\) The thief's case bears on salvation under the Gospel — well supported: npnf1-04-1887, §On Baptism IV.22.30–23.31; aquinas-summa-1920, §III q.66 a.11
    • the step itself — well supported: npnf1-04-1887, §On Baptism IV.23.31; aquinas-summa-1920, §III q.66 a.11

whereTheDesireMeetsFeeney

Why Rome's own teaching stands against Feeney's reading. The crux is the step from the desire's fruits: if the desire brings about the fruits of baptism, the washing itself is not necessary for salvation. Feeney denies the ground; whoever grants it, as the Catechism does, cannot hold his reading.

Why The desire for baptism (Catechism 1258–1259) stands against Trent: baptism the instrumental cause of justification, read so that the washing itself is necessary for salvation.

  • The crux: \(P_{69} \rightarrow \lnot P_{67}\), a premise of The desire for baptism (Catechism 1258–1259).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{69}\), which the break also needs.
  • Where the rival breaks: \(P_{66}\), \(P_{66} \rightarrow P_{67}\) cannot be held together with \(P_{69} \rightarrow \lnot P_{67}\) and \(P_{69}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

whereTheDesireMeetsTrent

Why the Reformed answer stands against Trent read in its own words. The crux is the step from the desire: where the desire alone brings the fruits, what justifies is not the washing, so the washing is not the instrument. What it breaks is the instrumental cause itself. It is rated disputed: Aquinas grants that the desire brings grace, and holds that it does so as a desire for the sacrament, which then gives a fuller grace.

Why What justifies where only the desire is present stands against Trent: baptism the instrumental cause of justification, read as baptism or the desire of it.

  • The crux: \((P_{68} \land P_{69}) \rightarrow \lnot P_{66}\), a premise of What justifies where only the desire is present.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{68}\), \(P_{69}\), which the break also needs.
  • Where the rival breaks: \(P_{66}\) cannot be held together with \((P_{68} \land P_{69}) \rightarrow \lnot P_{66}\) and \(P_{68}\), \(P_{69}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

whatTrentsInstrumentalCauseClaims

What Trent's instrumental cause claims, read both ways.

Read so that the washing itself is necessary for salvation — Feeney's reading — it cannot be held with the thief read as Augustine reads him, nor with Rome's own teaching that the desire brings the fruits of baptism: each at a step rated wellSupported. Both answers are Catholic ones.

Read as Trent's own words, baptism or its desire, the thief does not reach it. It cannot be held with the Reformed answer — where only the desire is present, what justifies is not the washing — but that step is disputed, by Aquinas.

Each reading is fair: taken by itself it contradicts nothing, so it is not a straw man. It fails only when joined to what the positions set against it hold.

Every reading of \(P_{66}\), answered. Trent: baptism the instrumental cause of justification holds \(P_{66}\). It is read 2 ways here, and each reading is checked; none can be left out.

1. Read so that the washing itself is necessary for salvation. The claim commits Trent: baptism the instrumental cause of justification to \(P_{67}\) — so read by feeney-bread-of-life-1952 (disputed).

Against The thief on the cross (Luke 23:43), read with Augustine, it cannot be held. Where it breaks:

Why The thief on the cross (Luke 23:43), read with Augustine stands against Trent: baptism the instrumental cause of justification, read so that the washing itself is necessary for salvation.

  • The crux: \((P_{70} \land P_{71}) \rightarrow \lnot P_{67}\), a premise of The thief on the cross (Luke 23:43), read with Augustine.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{70}\), \(P_{71}\), which the break also needs.
  • Where the rival breaks: \(P_{66}\), \(P_{66} \rightarrow P_{67}\) cannot be held together with \((P_{70} \land P_{71}) \rightarrow \lnot P_{67}\) and \(P_{70}\), \(P_{71}\); each is needed for the break, and without the crux they stand.
  • What this rests on:
    • \(P_{70}\) Luke 23:43 — the thief, unbaptised, is promised paradise — consensus: Luke 23:43; npnf1-04-1887, §On Baptism IV.23.31
    • \(P_{71}\) The thief's case bears on salvation under the Gospel — well supported: npnf1-04-1887, §On Baptism IV.22.30–23.31; aquinas-summa-1920, §III q.66 a.11
    • the step itself — well supported: npnf1-04-1887, §On Baptism IV.23.31; aquinas-summa-1920, §III q.66 a.11

Against The desire for baptism (Catechism 1258–1259), it cannot be held. Where it breaks:

Why The desire for baptism (Catechism 1258–1259) stands against Trent: baptism the instrumental cause of justification, read so that the washing itself is necessary for salvation.

  • The crux: \(P_{69} \rightarrow \lnot P_{67}\), a premise of The desire for baptism (Catechism 1258–1259).
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{69}\), which the break also needs.
  • Where the rival breaks: \(P_{66}\), \(P_{66} \rightarrow P_{67}\) cannot be held together with \(P_{69} \rightarrow \lnot P_{67}\) and \(P_{69}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

2. Read as baptism or the desire of it. The claim commits Trent: baptism the instrumental cause of justification to \(P_{68}\) — so read by waterworth-trent-1848, p. 32 (consensus).

Against The thief on the cross (Luke 23:43), read with Augustine, it is not reached: The thief on the cross (Luke 23:43), read with Augustine holds, and can be held together with it.

Against What justifies where only the desire is present, it cannot be held. Where it breaks:

Why What justifies where only the desire is present stands against Trent: baptism the instrumental cause of justification, read as baptism or the desire of it.

  • The crux: \((P_{68} \land P_{69}) \rightarrow \lnot P_{66}\), a premise of What justifies where only the desire is present.
  • What it does: its conclusion does not follow without it.
  • Granted: \(P_{68}\), \(P_{69}\), which the break also needs.
  • Where the rival breaks: \(P_{66}\) cannot be held together with \((P_{68} \land P_{69}) \rightarrow \lnot P_{66}\) and \(P_{68}\), \(P_{69}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

John 3:5

johnThreeFiveToWater

Trent's step from John 3:5: the verse requires water baptism. Rated disputed: Calvin grants the verse and denies it.

\[ P_{75} \rightarrow P_{76} \]

trentOnJohnThreeFive — Trent on John 3:5: born of water, so water baptism required

Trent on John 3:5: born of water and the Spirit, so the verse requires water baptism for entry into the kingdom.

\[ \begin{aligned} \text{(1)} \quad & P_{75} \\ \text{(2)} \quad & P_{75} \rightarrow P_{76} \\[4pt] \vdash \quad & P_{76} \end{aligned} \]

No premise here rests on scripture alone.

waterReadAsBaptism

Who reads the water of John 3:5 as baptismal water: Trent (Session VII, On Baptism, canon 2), and "Chrysostom, with whom the greater part of expounders agree", as Calvin reports.

def waterReadAsBaptism : Source :=
  { primary := Reference.work waterworthTrent (Bib.Locus.page 56),
    supporting := [Reference.work calvinJohn (Bib.Locus.page 110)],
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

waterReadAsBirth

Who reads it as natural birth: Oliver, who argues for it as his own reading — the water "could be a reference to the amniotic fluid that surrounds the baby in the womb".

def waterReadAsBirth : Source :=
  { primary := Reference.work oliverWaterJohn,
    tradition := Tradition.criticalScholarship,
    confidence := Confidence.disputed }

waterReadAsEzekiel

Who reads it as the cleansing of Ezekiel 36: Carson, who finds there "a transformative new beginning, characterized by spectacular cleansing symbolized by water".

def waterReadAsEzekiel : Source :=
  { primary := Reference.work carsonBornOfWater,
    supporting := [Reference.work oliverWaterJohn],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.disputed }

waterReadAsTheSpirit

Who reads it as the Spirit's own cleansing: Calvin, "By 'water and the Spirit,' therefore, I simply understand the Spirit, which is water" (Institutes IV.xvi.25).

def waterReadAsTheSpirit : Source :=
  {
    primary :=
      Reference.work Bib.calvinInstitutes (Bib.Locus.sectionRef "IV.xvi.25"),
    supporting := [Reference.work calvinJohn (Bib.Locus.pages 110 111)],
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

waterAsBaptism

The water of John 3:5, read as baptismal water.

def waterAsBaptism : Reading Claim :=
  { name := "with its water as baptismal water",
    commits := p Claim.john3_5WaterIsBaptism,
    source := waterReadAsBaptism }

waterAsBirth

The water of John 3:5, read as natural birth.

def waterAsBirth : Reading Claim :=
  { name := "with its water as natural birth",
    commits := p Claim.john3_5WaterIsNaturalBirth,
    source := waterReadAsBirth }

waterAsEzekiel

The water of John 3:5, read as the cleansing of Ezekiel 36.

def waterAsEzekiel : Reading Claim :=
  { name := "with its water as Ezekiel's cleansing",
    commits := p Claim.john3_5WaterIsEzekielsCleansing,
    source := waterReadAsEzekiel }

waterAsTheSpirit

The water of John 3:5, read as the Spirit's own cleansing.

def waterAsTheSpirit : Reading Claim :=
  { name := "with its water as the Spirit's own cleansing",
    commits := p Claim.john3_5WaterIsTheSpiritsCleansing,
    source := waterReadAsTheSpirit }

birthToNoWater

If the water is natural birth, the verse does not require water baptism.

\[ P_{78} \rightarrow \lnot P_{76} \]

ezekielToNoWater

If the water is Ezekiel's cleansing and not baptism, the verse does not require water baptism.

\[ P_{79} \rightarrow \lnot P_{76} \]

spiritToNoWater

If the water is the Spirit's own cleansing, the verse does not require water baptism.

\[ P_{80} \rightarrow \lnot P_{76} \]

spiritToNotBaptism

And if the water is the Spirit's own cleansing, it is not baptismal water.

\[ (P_{75} \land P_{80}) \rightarrow \lnot P_{77} \]

birthOnJohnThreeFive — John 3:5, the water as natural birth (Oliver)

The natural-birth reading, as a position: the water is natural birth, so the verse does not require water baptism.

\[ \begin{aligned} \text{(1)} \quad & P_{78} \\ \text{(2)} \quad & P_{78} \rightarrow \lnot P_{76} \\[4pt] \vdash \quad & \lnot P_{76} \end{aligned} \]

No premise here rests on scripture alone.

ezekielOnJohnThreeFive — John 3:5, the water as Ezekiel's cleansing (Carson)

The Ezekiel reading, as a position.

\[ \begin{aligned} \text{(1)} \quad & P_{79} \\ \text{(2)} \quad & P_{79} \rightarrow \lnot P_{76} \\[4pt] \vdash \quad & \lnot P_{76} \end{aligned} \]

No premise here rests on scripture alone.

calvinOnJohnThreeFive — John 3:5, the water as the Spirit's own cleansing (Calvin)

Calvin's reading, as a position: water and Spirit are one, so the water is not baptismal water, and the verse does not require water baptism.

\[ \begin{aligned} \text{(1)} \quad & P_{75} \\ \text{(2)} \quad & P_{80} \\ \text{(3)} \quad & P_{80} \rightarrow \lnot P_{76} \\ \text{(4)} \quad & (P_{75} \land P_{80}) \rightarrow \lnot P_{77} \\[4pt] \vdash \quad & \lnot P_{76} \end{aligned} \]

No premise here rests on scripture alone.

noWaterInJohnThreeFiveReading

The world of each non-baptismal reading at once: the water is natural birth, Ezekiel's cleansing and the Spirit's own cleansing, and not baptism; the verse does not require water baptism. Not a position anyone holds — the three readings are rivals — but a model on which each package's premises hold.

def noWaterInJohnThreeFiveReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.john3_5RequiresWaterBaptism => False
    | Claim.john3_5WaterIsBaptism => False
    | x => True

trentOnJohnThreeFive_establishes

Grant the verse and Trent's step from it, and the requirement of water baptism follows. The step is disputed.

theorem trentOnJohnThreeFive_establishes : Establishes trentOnJohnThreeFive
-- axioms: propext, Quot.sound

trentOnJohnThreeFive_is_satisfiable

Trent on John 3:5 can be held without contradiction: Rome's world.

theorem trentOnJohnThreeFive_is_satisfiable : Satisfiable
    trentOnJohnThreeFive.premises
-- axioms: propext, Quot.sound

birthOnJohnThreeFive_establishes

The natural-birth reading delivers its conclusion.

theorem birthOnJohnThreeFive_establishes : Establishes birthOnJohnThreeFive
-- axioms: propext, Quot.sound

birthOnJohnThreeFive_is_satisfiable

The natural-birth reading can be held without contradiction.

theorem birthOnJohnThreeFive_is_satisfiable : Satisfiable
    birthOnJohnThreeFive.premises
-- axioms: propext, Quot.sound

ezekielOnJohnThreeFive_establishes

The Ezekiel reading delivers its conclusion.

theorem ezekielOnJohnThreeFive_establishes : Establishes
    ezekielOnJohnThreeFive
-- axioms: propext, Quot.sound

ezekielOnJohnThreeFive_is_satisfiable

The Ezekiel reading can be held without contradiction.

theorem ezekielOnJohnThreeFive_is_satisfiable : Satisfiable
    ezekielOnJohnThreeFive.premises
-- axioms: propext, Quot.sound

calvinOnJohnThreeFive_establishes

Calvin's reading delivers its conclusion.

theorem calvinOnJohnThreeFive_establishes : Establishes calvinOnJohnThreeFive
-- axioms: propext, Quot.sound

calvinOnJohnThreeFive_is_satisfiable

Calvin's reading can be held without contradiction.

theorem calvinOnJohnThreeFive_is_satisfiable : Satisfiable
    calvinOnJohnThreeFive.premises
-- axioms: propext, Quot.sound

trentWithBaptismalWater — Trent on John 3:5: born of water, so water baptism required, read with its water as baptismal water

Trent on John 3:5, with the water read as baptism.

\[ \begin{aligned} \text{(1)} \quad & P_{75} \\ \text{(2)} \quad & P_{75} \rightarrow P_{76} \\ \text{(3)} \quad & P_{75} \rightarrow P_{77} \\[4pt] \vdash \quad & P_{76} \end{aligned} \]

No premise here rests on scripture alone.

trentWithNaturalBirth — Trent on John 3:5: born of water, so water baptism required, read with its water as natural birth

Trent on John 3:5, with the water read as natural birth.

\[ \begin{aligned} \text{(1)} \quad & P_{75} \\ \text{(2)} \quad & P_{75} \rightarrow P_{76} \\ \text{(3)} \quad & P_{75} \rightarrow P_{78} \\[4pt] \vdash \quad & P_{76} \end{aligned} \]

No premise here rests on scripture alone.

trentWithEzekielsCleansing — Trent on John 3:5: born of water, so water baptism required, read with its water as Ezekiel's cleansing

Trent on John 3:5, with the water read as Ezekiel's cleansing.

\[ \begin{aligned} \text{(1)} \quad & P_{75} \\ \text{(2)} \quad & P_{75} \rightarrow P_{76} \\ \text{(3)} \quad & P_{75} \rightarrow P_{79} \\[4pt] \vdash \quad & P_{76} \end{aligned} \]

No premise here rests on scripture alone.

trentWithTheSpiritsCleansing — Trent on John 3:5: born of water, so water baptism required, read with its water as the Spirit's own cleansing

Trent on John 3:5, with the water read as the Spirit's own cleansing.

\[ \begin{aligned} \text{(1)} \quad & P_{75} \\ \text{(2)} \quad & P_{75} \rightarrow P_{76} \\ \text{(3)} \quad & P_{75} \rightarrow P_{80} \\[4pt] \vdash \quad & P_{76} \end{aligned} \]

No premise here rests on scripture alone.

trentReadingOfJohnThreeFive

The verse read Trent's way and no other: its water is baptismal water, and not natural birth, Ezekiel's cleansing or the Spirit's own cleansing.

def trentReadingOfJohnThreeFive : Valuation Claim :=
  fun a =>
    match a with
    | Claim.john3_5WaterIsNaturalBirth => False
    | Claim.john3_5WaterIsEzekielsCleansing => False
    | Claim.john3_5WaterIsTheSpiritsCleansing => False
    | x => True

trentWithBirthReading

The verse read with its water as natural birth, and Trent's step kept: this contradicts nothing by itself. It breaks only when that reading's own step — then the verse does not require water baptism — is added.

def trentWithBirthReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.john3_5WaterIsEzekielsCleansing => False
    | Claim.john3_5WaterIsTheSpiritsCleansing => False
    | x => True

trentWithEzekielReading

Trent's step, with the water read as Ezekiel's cleansing.

def trentWithEzekielReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.john3_5WaterIsNaturalBirth => False
    | Claim.john3_5WaterIsTheSpiritsCleansing => False
    | x => True

trentWithSpiritReading

Trent's step, with the water read as the Spirit's own cleansing.

def trentWithSpiritReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.john3_5WaterIsNaturalBirth => False
    | Claim.john3_5WaterIsEzekielsCleansing => False
    | x => True

trentWithBaptismalWater_is_satisfiable

The baptismal reading of Trent's step can be held without contradiction.

theorem trentWithBaptismalWater_is_satisfiable : Satisfiable
    trentWithBaptismalWater.premises
-- axioms: propext, Quot.sound

trentWithNaturalBirth_is_satisfiable

The natural-birth reading of Trent's step can be held without contradiction.

theorem trentWithNaturalBirth_is_satisfiable : Satisfiable
    trentWithNaturalBirth.premises
-- axioms: propext, Quot.sound

trentWithEzekielsCleansing_is_satisfiable

The Ezekiel reading of Trent's step can be held without contradiction.

theorem trentWithEzekielsCleansing_is_satisfiable : Satisfiable
    trentWithEzekielsCleansing.premises
-- axioms: propext, Quot.sound

trentWithTheSpiritsCleansing_is_satisfiable

The Spirit's-cleansing reading of Trent's step can be held without contradiction.

theorem trentWithTheSpiritsCleansing_is_satisfiable : Satisfiable
    trentWithTheSpiritsCleansing.premises
-- axioms: propext, Quot.sound

whereCalvinMeetsTheBaptismalReading

Why Calvin's reading stands against Trent, reading the water as baptism. The crux is Calvin's step: if water and Spirit are one, the water is not baptismal water. What it breaks is the reading itself. The step is well supported; but Calvin's reading, the ground it rests on, is disputed, and Trent anathematises it (Session VII, On Baptism, canon 2).

Why John 3:5, the water as the Spirit's own cleansing (Calvin) stands against Trent on John 3:5: born of water, so water baptism required, read with its water as baptismal water.

  • The crux: \((P_{75} \land P_{80}) \rightarrow \lnot P_{77}\), a premise of John 3:5, the water as the Spirit's own cleansing (Calvin).
  • What it does: its conclusion follows without it — the crux is its answer to Trent on John 3:5: born of water, so water baptism required, read with its water as baptismal water.
  • Granted: \(P_{75}\), \(P_{80}\), which the break also needs.
  • Where the rival breaks: \(P_{75} \rightarrow P_{77}\) cannot be held together with \((P_{75} \land P_{80}) \rightarrow \lnot P_{77}\) and \(P_{75}\), \(P_{80}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

whereBirthMeetsTrentsStep

Why the natural-birth reading cannot keep Trent's step. If the water is natural birth, the verse does not require water baptism; so Trent's step from the verse, read that way, breaks — at a step rated wellSupported.

Why John 3:5, the water as natural birth (Oliver) stands against Trent on John 3:5: born of water, so water baptism required, read with its water as natural birth.

  • The crux: \(P_{78} \rightarrow \lnot P_{76}\), a premise of John 3:5, the water as natural birth (Oliver).

  • What it does: its conclusion does not follow without it.

  • Where the rival breaks: \(P_{75}\), \(P_{75} \rightarrow P_{76}\), \(P_{75} \rightarrow P_{78}\) cannot be held together with \(P_{78} \rightarrow \lnot P_{76}\); each is needed for the break, and without the crux they stand.

  • What this rests on:

whereEzekielMeetsTrentsStep

Why the Ezekiel reading cannot keep Trent's step. If the water is Ezekiel's cleansing and not baptism, the verse does not require water baptism.

Why John 3:5, the water as Ezekiel's cleansing (Carson) stands against Trent on John 3:5: born of water, so water baptism required, read with its water as Ezekiel's cleansing.

  • The crux: \(P_{79} \rightarrow \lnot P_{76}\), a premise of John 3:5, the water as Ezekiel's cleansing (Carson).

  • What it does: its conclusion does not follow without it.

  • Where the rival breaks: \(P_{75}\), \(P_{75} \rightarrow P_{76}\), \(P_{75} \rightarrow P_{79}\) cannot be held together with \(P_{79} \rightarrow \lnot P_{76}\); each is needed for the break, and without the crux they stand.

  • What this rests on:

whereTheSpiritMeetsTrentsStep

Why Calvin's reading cannot keep Trent's step. If the water is the Spirit's own cleansing, the verse does not require water baptism.

Why John 3:5, the water as the Spirit's own cleansing (Calvin) stands against Trent on John 3:5: born of water, so water baptism required, read with its water as the Spirit's own cleansing.

  • The crux: \(P_{80} \rightarrow \lnot P_{76}\), a premise of John 3:5, the water as the Spirit's own cleansing (Calvin).

  • What it does: its conclusion does not follow without it.

  • Where the rival breaks: \(P_{75}\), \(P_{75} \rightarrow P_{76}\), \(P_{75} \rightarrow P_{80}\) cannot be held together with \(P_{80} \rightarrow \lnot P_{76}\); each is needed for the break, and without the crux they stand.

  • What this rests on:

whatJohnThreeFiveMeans

What John 3:5 means, read four ways. What is ambiguous is the verse Trent cites, not Trent. Trent argues: unless one is born of water and the Spirit, he cannot enter the kingdom of God; therefore water baptism is required. Each of the four readings below is a reading of the verse's "water", held by the reader named; for each, the question is whether Trent's step from the verse still stands once the verse is read that way.

Read with its water as baptismal water, Trent's step stands, and the reading cannot be held with Calvin's — at a well-supported step from Calvin's reading, which is itself disputed. Even so, Trent's step stays disputed.

Read with its water as natural birth, as Ezekiel's cleansing, or as the Spirit's own cleansing, Trent's step cannot be kept: each time at a well-supported step.

So only the baptismal reading leaves Trent's step standing. Which reading is right, the dilemma does not decide; each is cited, and each is disputed. Each reading is fair: taken by itself it contradicts nothing, and fails only when joined to the step its own holders draw from it.

Every reading of \(P_{75}\), answered. Trent on John 3:5: born of water, so water baptism required holds \(P_{75}\). It is read 4 ways here, and each reading is checked; none can be left out.

1. Read with its water as baptismal water. The claim commits Trent on John 3:5: born of water, so water baptism required to \(P_{77}\) — so read by waterworth-trent-1848, p. 56; calvin-commentary-john-1847, p. 110 (disputed).

Against John 3:5, the water as the Spirit's own cleansing (Calvin), it cannot be held. Where it breaks:

Why John 3:5, the water as the Spirit's own cleansing (Calvin) stands against Trent on John 3:5: born of water, so water baptism required, read with its water as baptismal water.

  • The crux: \((P_{75} \land P_{80}) \rightarrow \lnot P_{77}\), a premise of John 3:5, the water as the Spirit's own cleansing (Calvin).
  • What it does: its conclusion follows without it — the crux is its answer to Trent on John 3:5: born of water, so water baptism required, read with its water as baptismal water.
  • Granted: \(P_{75}\), \(P_{80}\), which the break also needs.
  • Where the rival breaks: \(P_{75} \rightarrow P_{77}\) cannot be held together with \((P_{75} \land P_{80}) \rightarrow \lnot P_{77}\) and \(P_{75}\), \(P_{80}\); each is needed for the break, and without the crux they stand.
  • What this rests on:

2. Read with its water as natural birth. The claim commits Trent on John 3:5: born of water, so water baptism required to \(P_{78}\) — so read by oliver-water-john-2022 (disputed).

Against John 3:5, the water as natural birth (Oliver), it cannot be held. Where it breaks:

Why John 3:5, the water as natural birth (Oliver) stands against Trent on John 3:5: born of water, so water baptism required, read with its water as natural birth.

  • The crux: \(P_{78} \rightarrow \lnot P_{76}\), a premise of John 3:5, the water as natural birth (Oliver).

  • What it does: its conclusion does not follow without it.

  • Where the rival breaks: \(P_{75}\), \(P_{75} \rightarrow P_{76}\), \(P_{75} \rightarrow P_{78}\) cannot be held together with \(P_{78} \rightarrow \lnot P_{76}\); each is needed for the break, and without the crux they stand.

  • What this rests on:

3. Read with its water as Ezekiel's cleansing. The claim commits Trent on John 3:5: born of water, so water baptism required to \(P_{79}\) — so read by carson-born-of-water-2019; oliver-water-john-2022 (disputed).

Against John 3:5, the water as Ezekiel's cleansing (Carson), it cannot be held. Where it breaks:

Why John 3:5, the water as Ezekiel's cleansing (Carson) stands against Trent on John 3:5: born of water, so water baptism required, read with its water as Ezekiel's cleansing.

  • The crux: \(P_{79} \rightarrow \lnot P_{76}\), a premise of John 3:5, the water as Ezekiel's cleansing (Carson).

  • What it does: its conclusion does not follow without it.

  • Where the rival breaks: \(P_{75}\), \(P_{75} \rightarrow P_{76}\), \(P_{75} \rightarrow P_{79}\) cannot be held together with \(P_{79} \rightarrow \lnot P_{76}\); each is needed for the break, and without the crux they stand.

  • What this rests on:

4. Read with its water as the Spirit's own cleansing. The claim commits Trent on John 3:5: born of water, so water baptism required to \(P_{80}\) — so read by calvin-institutes-1960, §IV.xvi.25; calvin-commentary-john-1847, pp. 110–111 (disputed).

Against John 3:5, the water as the Spirit's own cleansing (Calvin), it cannot be held. Where it breaks:

Why John 3:5, the water as the Spirit's own cleansing (Calvin) stands against Trent on John 3:5: born of water, so water baptism required, read with its water as the Spirit's own cleansing.

  • The crux: \(P_{80} \rightarrow \lnot P_{76}\), a premise of John 3:5, the water as the Spirit's own cleansing (Calvin).

  • What it does: its conclusion does not follow without it.

  • Where the rival breaks: \(P_{75}\), \(P_{75} \rightarrow P_{76}\), \(P_{75} \rightarrow P_{80}\) cannot be held together with \(P_{80} \rightarrow \lnot P_{76}\); each is needed for the break, and without the crux they stand.

  • What this rests on:

Acts, both orders

actsToUnbound

From Samaria and Caesarea: the Spirit after the water and before it, so God is not bound to water baptism. Rated consensus: Calvin and the Catechism both grant that much, though Calvin's own sentence goes further.

\[ (P_{72} \land P_{73}) \rightarrow P_{74} \]

actsCase — Acts 8 and 10: the Spirit after the water, and before it

Acts, both orders: the Spirit given after the water in Samaria and before it at Caesarea, so God is not bound to water baptism.

\[ \begin{aligned} \text{(1)} \quad & P_{72} \\ \text{(2)} \quad & P_{73} \\ \text{(3)} \quad & (P_{72} \land P_{73}) \rightarrow P_{74} \\[4pt] \vdash \quad & P_{74} \end{aligned} \]

No premise here rests on scripture alone.

actsCase_establishes

Grant the two orders of Acts, and it follows that God is not bound to water.

theorem actsCase_establishes : Establishes actsCase
-- axioms: propext, Quot.sound

actsCase_is_satisfiable

Acts' case can be held without contradiction.

theorem actsCase_is_satisfiable : Satisfiable actsCase.premises
-- axioms: propext, Quot.sound

trent_grants_god_is_not_bound

Trent's instrumental cause is consistent with God not being bound to it. Rome's world holds both: "God has bound salvation to the sacrament of Baptism, but he himself is not bound by his sacraments" (Catechism 1257). So what Acts shows is common ground, not a Reformed win. What remains in dispute is the first half of that sentence, that God has bound salvation to the sacrament, and Trent's further claim that the sacrament is the instrument of justification.

theorem trent_grants_god_is_not_bound : Grants trentOnBaptism (p
    Claim.godNotBoundToWater)
-- axioms: propext, Quot.sound

"And fire": the readings, and no winner

fireAsJudgmentReading

A world in which the fire is judgment, and neither of the other readings holds: enough to show the verse does not force them. Many readers take the fire as both judging and purifying; nothing here says the readings exclude each other.

def fireAsJudgmentReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.fireIsPurification => False
    | Claim.fireIsPentecost => False
    | x => True

fireAsPurificationReading

A world in which the fire is purification, and neither of the other readings holds: enough to show the verse does not force them.

def fireAsPurificationReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.fireIsJudgment => False
    | Claim.fireIsPentecost => False
    | x => True

the_baptist_leaves_the_fire_open

The Baptist's words leave open whether the fire is judgment. "He will baptize you with the Holy Spirit and fire" is held alike by Gregory Nazianzen, who reads the fire as the consuming of the chaff, and by Calvin, who reads it as the Spirit's purifying. The text alone settles it neither way.

theorem the_baptist_leaves_the_fire_open : Independent [p
    Claim.matthew3_11SpiritAndFire] (p Claim.fireIsJudgment)
-- axioms: propext, Quot.sound

the_baptist_leaves_purification_open

Nor whether it is purification.

theorem the_baptist_leaves_purification_open : Independent [p
    Claim.matthew3_11SpiritAndFire] (p Claim.fireIsPurification)
-- axioms: propext, Quot.sound

the_baptist_leaves_pentecost_open

Nor whether it is Pentecost, as Cyril of Jerusalem reads it: "because the descent of the Holy Ghost was in fiery tongues".

theorem the_baptist_leaves_pentecost_open : Independent [p
    Claim.matthew3_11SpiritAndFire] (p Claim.fireIsPentecost)
-- axioms: propext, Quot.sound

TestimonyArguments.SolaFide.James — James 2:24, and the increase of justification

"You see that a person is justified by works and not by faith alone" (James 2:24). Trent reads it as the increase of justification: the justified "increase in that justice which they have received ... and are still further justified, as it is written; He that is just, let him be justified still; and again, Be not afraid to be justified even to death; and also, Do you see that by works a man is justified, and not by faith only" (Session VI, ch. 10). Canon 24 condemns anyone who says good works "are merely the fruits and signs of Justification obtained, but not a cause of the increase thereof". This module weighs that reading, its three texts, and the Reformed reply.

What Trent's reading can mean

Trent's claim about James 2:24 can be read two ways, and the two meet different evidence.

  • As a claim about James's word: δικαιόω in James denotes the increase of the justice received — being made more just. Then it meets the lexical case for James: δικαιόω declares, acquits or vindicates wherever it is used outside Paul ("wisdom is justified by her works", Matthew 11:19); James uses it of Abraham at Genesis 22, after Genesis 15:6 had been spoken, and of Rahab; and a word contributes the least meaning its context requires.
  • As a claim about what works do: James's "justified" is a verdict, and the works it is "by" are a cause of the verdict's increase, not merely its fruit (canon 24). Nothing about the word reaches this. It meets the Reformed reading, on which the works are evidence of a living faith, and the two rest at that point on their own confessions.

The texts Trent cites with James

Two of Trent's three texts say "justified" only in Latin. "He that is just, let him be justified still" is the Vulgate's iustificetur adhuc at Revelation 22:11; the Greek, as the critical text prints it, says "let the righteous still do righteousness", and the Catholic Church's own translation renders it "The righteous must still do right". "Be not afraid to be justified even to death" is the Vulgate's Sirach 18:22; the Greek, as the same translation renders it, is about vows: "do not wait until death to fulfill them". The original text, Pius XII teaches, "written by the inspired author himself, has more authority and greater weight than any even the very best translation" (Divino Afflante Spiritu §16), and Westminster says the same (I.8). So read as claims about what the inspired authors wrote, the two Latin readings cannot be defended.

Pius XII does not say that a Latin reading the original lacks is an error. He says the reverse of the Vulgate as a whole: as the Church understands it, it is "free from any error whatsoever in matters of faith and morals", and its authenticity is "juridical" rather than critical (§21). Read that way, Trent's "as it is written" at these two verses quotes the Church's authentic Latin, not the apostle's words, and is consistent with everything Pius XII says (TestimonyArguments.SolaFide.Vulgate). What it then rests on is the Church's authority, and Pius XII himself asks that a doctrine so taught be confirmed from the original texts (§22) — which at these two verses do not confirm it.

The phrase "faith alone"

James 2:24 is the one place the phrase occurs, and it is often cited as denying sola fide in so many words. The faith James denies justifies is the faith he calls dead (2:17, 2:26), and Trent reads it so: faith "unless hope and charity be added thereto ... For which reason it is most truly said, that Faith without works is dead" (Session VI, ch. 7). The Reformers' confession says the faith that alone justifies "is no dead faith, but worketh by love" (Westminster XI.2). So the phrase James denies is not the formula the Reformers affirm (jamesFaithLine). This answers an argument from the phrase; it does not answer James's "by works", which is the question above.

How to read the verdicts

As in the sola fide dispute (TestimonyArguments.SolaFide.Dispute): a party defeats another when it contradicts something the other rests on, concludes or derives, and is not the weaker; a party is forced when the dispute holds it however every standoff is resolved; it can be defended when some consistent position holds it and answers every attack; it cannot be defended when none can.

What the dispute decides

  • Forced (james_words_prevail): James's δικαιόω does not denote the increase of justice; the faith James 2:24 denies is not the Reformers' faith; Revelation 22:11 does not say "be justified still"; Sirach 18:22 does not speak of growth in justice.
  • Cannot be defended: Trent's reading of James's word (trent_on_james_word_indefensible), and Trent's readings of Revelation 22:11 (trent_on_revelation_indefensible) and Sirach 18:22 (trent_on_sirach_indefensible) as texts for the increase of justification.
  • Can be defended, and not forced: Trent's reading of what works do (trent_on_works_defensible, trent_on_works_not_forced), and, against it, the Reformed harmony. Whether works are only the fruit of justification is contested at the cited ratings (worksContested). Trent's reading of the reward texts (chapter 16, trentRewardLine) meets the harmony the same way, and meets Westminster's reading of the same texts (westminsterRewardLine), which denies that the reward is rendered to merits. Heard under the evidence standard, neither of Trent's readings of what works do is a credible critique, and the harmony is forced (TestimonyArguments.SolaFide.Ratings).
  • Cannot be defended, at the cited ratings: the renewal reading of James's word (renewalWordLine), which James's word defeats. Under the tradition standard it is a credible critique, and there the question is contested (TestimonyArguments.SolaFide.Ratings). It also meets the Reformed harmony, and the two defeat each other: the harmony says James's word has not Paul's sense, the renewal reading that it has. Neither claim's atom says so; their meanings do, and a dispute decides every attack over what each party holds with the meanings (Testimony.Logic.ArgumentPackage.held).

So Trent's scriptural case for the increase of justification, weighed text by text, survives at one point only: James 2:24, read as a claim about what works do before God. Every reading of it that rests on what a word or a verse says cannot be defended. What remains is a claim about God's verdict, and there the library cannot choose.

A rating moved, against the Reformed side, and how it is now computed

worksAreFruitNotGround was rated wellSupported while no party denied it. In this dispute Trent's reading of what works do denies it, and the rating decides who prevails, so it was audited: canon 24 anathematises exactly that claim. It is disputed now as a premise. Kept at wellSupported, it would have made Trent's reading of what works do indefensible — a verdict the rating, not the evidence, would have delivered.

As a step (fruitLine), its rating is now computed (TestimonyArguments.SolaFide.Ratings). Its support is wellSupported: the Joint Declaration confesses works to be fruits, and not the basis of justification. Each of Trent's two dissents rests at one claim on the council's word, so the step stands under the evidence standard and is disputed under the tradition standard. This dispute weighs the Reformed harmony at its weakest link regardless: James's target, a barren faith, is rated disputed (jamesHarmonySource).

What each position rests on

james_warrants lists, for each party, the claims it asserts on someone's word alone (Testimony.Logic.Warrant). Each of Trent's four readings rests at the reading itself on Trent's word. The two readings of the Greek rest at "the original text outweighs any translation" on Pius XII's and Westminster's — both sides' word, which is what makes it decisive here, and is still a word. James's word, James's faith and the Reformed harmony rest on nothing but Scripture and evidence. The warrant is reported beside the verdicts and does not weigh in them.

Westminster's proof texts for "fruit, not ground"

The Reformed harmony no longer assumes that works are the fruit of faith and not its ground. It derives it (fruitLine) from the texts the Westminster Assembly gave as proofs for it: good works "are the fruits and evidences of a true and lively faith" (XVI.2: James 2:18, 22; Ephesians 2:10; Romans 6:22), and "we cannot by our best works merit" (XVI.5: Ephesians 2:8–9; Luke 17:10). Trent grants the texts and the word: its chapter 16 is "On the fruit of Justification, that is, on the merit of good works", and canon 24 condemns only those who call works "merely the fruits and signs". The dispute between them is whether the fruit is also merit, and Trent's own answer, that the reward the texts promise is rendered to merits, is a claim it makes on its own word ("we must believe", chapter 16). So the warrant moved — the harmony rests on Scripture now, not on the Confession's word — and in this dispute, weighed at the cited ratings, whether works are only fruit is still contested (worksContested). Under the evidence standard it is not (TestimonyArguments.SolaFide.Ratings).

What is audited, and how

The steps of James's word and James's faith are cited at wellSupported. The lexical step's rating is now computed as well (TestimonyArguments.SolaFide.Ratings). Its strongest known dissent, the renewal reading (renewalWordLine), reads James's word as Paul's and Paul's as renewal. It grants the step's grounds and argues its denial, but one of its grounds — that James's word is Paul's — rests on Trent's word alone. So the step stands at wellSupported under the evidence standard and is disputed under the tradition standard. This dispute weighs it at its cited rating, the first of these; the hearing under the tradition standard weighs it at the second, and there what James's word denotes is contested. A verified exegete holding that James's word is Paul's would make the renewal reading credible under both standards, and the step disputed under both.

The faith step has no encoded dissent beyond Howell's, which asserts its denial (TestimonyArguments.Articles.Howell2003). A fuller audit, across the Catholic commentaries on James, is still to do.

Inference ratings

jamesLexicalSource

The step from δικαιόω's use outside Paul, James's own use of it, and the rule of least meaning, to "James's δικαιόω does not denote the increase of justice". Rating pending audit.

def jamesLexicalSource : Source :=
  {
    primary :=
      Reference.work mooJames
        (Bib.Locus.adLoc { book := Book.james, chapter := 2, verse := 21 }),
    supporting :=
      [Reference.work silvaBiblicalWords, Reference.work barrSemantics],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.wellSupported }

jamesFaithSource

The step from James 2:14–26, the dead faith it names, and what the Reformers' formula means, to "the faith James 2:24 denies is not the Reformers' faith". Rating pending audit.

def jamesFaithSource : Source :=
  {
    primary :=
      Reference.work mooJames
        (Bib.Locus.adLoc { book := Book.james, chapter := 2, verse := 24 }),
    supporting :=
      [Reference.work westminsterConfession (Bib.Locus.sectionRef "XI.2")],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.wellSupported }

trentIncreaseSource

Trent's reading of its three texts as the increase of justification (Session VI, ch. 10). Rated disputed: the Reformed grant the texts and deny that they teach an increase of justification.

def trentIncreaseSource : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef "Trent, Session VI (1547), ch. 10"),
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

trentWorksSource

Trent's reading of what works do (Session VI, canon 24), applied to James 2:24's "by works". Rated disputed: the Reformed grant James's words and read the works as evidence, not cause.

def trentWorksSource : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef "Trent, Session VI (1547), canon 24"),
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

textualSource

The step from what the original text says, and the principle that it outweighs any translation, to "the inspired text does not say what the Latin says". Rated wellSupported: Pius XII (Divino Afflante Spiritu §16) and Westminster (I.8) both make the original the measure of a translation, and no reader was found who grants both grounds and holds that the inspired author wrote what only the Latin has.

def textualSource : Source :=
  {
    primary :=
      Reference.work divinoAfflanteSpiritu (Bib.Locus.sectionRef "§16"),
    supporting := [Reference.work sblgnt, Reference.work nabre],
    tradition := Tradition.christianHistoricalGrammatical,
    confidence := Confidence.wellSupported }

jamesHarmonySource

The Reformed harmony's step: from James's target, a barren faith, and works as the fruit of saving faith, to "James 2:24 is compatible with Paul". Rated disputed: Trent grants James's words and reads the works as a cause of the increase of justification (Session VI, ch. 10, canon 24).

def jamesHarmonySource : Source :=
  {
    primary :=
      Reference.work mooJames
        (Bib.Locus.adLoc { book := Book.james, chapter := 2, verse := 24 }),
    supporting :=
      [Reference.work Bib.calvinInstitutes
          (Bib.Locus.sectionRef "III.xvii.11")],
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

trentRewardSource

Trent's step from the reward texts, and the reward rendered to merits, to "works are not merely fruit": eternal life is "a reward to be faithfully rendered to their good works and merits" (Session VI, ch. 16), and the good works of the justified truly merit it (canon 32). Rated disputed: Westminster grants that God rewards the good works of believers and holds the reward to be of grace, given to works accepted in Christ and not earned by them (XVI.5, XVI.6).

def trentRewardSource : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef "Trent, Session VI (1547), ch. 16, canon 32"),
    supporting :=
      [Reference.work westminsterConfession
          (Bib.Locus.sectionRef "XVI.5, XVI.6")],
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

renewalWordSource

The renewal reading's step: from Paul's δικαιόω as renewal, James's word as Paul's, and James's "justified by works" after Genesis 15:6, to "James's δικαιόω denotes the increase of justice" (Trent, Session VI, ch. 10). Rated disputed: the lexical case grants James's words and denies the conclusion.

def renewalWordSource : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef "Trent, Session VI (1547), ch. 10"),
    supporting := [Reference.work vanLandinghamJudgment],
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

westminsterRewardSource

Westminster's step from the texts it gives as proofs to "the reward is not rendered to merits": God does not forget the work of believers (Hebrews 6:10, a proof of XVI.6, and one of Trent's own four texts); when they have done all, they are unworthy servants who have done only their duty (Luke 17:10, XVI.5); to one who works, wages are reckoned as due, and to one who believes, as a gift (Romans 4:4–5, XVI.5); and their sacrifices are acceptable to God through Jesus Christ (1 Peter 2:5, XVI.6). So God "is pleased to accept and reward" works accepted in his Son, and the reward is of grace, not merit (XVI.5, XVI.6). Rated disputed: Trent grants these texts and holds the reward rendered to merits (Session VI, ch. 16, canon 32).

def westminsterRewardSource : Source :=
  {
    primary :=
      Reference.work westminsterConfession
        (Bib.Locus.sectionRef "XVI.5, XVI.6"),
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.disputed }

The lines

jamesLexicalLine — James's word (δικαιόω, by the rule of least meaning)

James's word, read by the rule of least meaning: δικαιόω declares, acquits or vindicates wherever it occurs outside Paul; James uses it of Abraham at Genesis 22, after Genesis 15:6 had been spoken, and of Rahab; and a word contributes the least meaning its context requires. So James's δικαιόω does not denote the increase of justice.

\[ \begin{aligned} \text{(1)} \quad & P_{83} \\ \text{(2)} \quad & P_{82} \\ \text{(3)} \quad & P_{49} \\ \text{(4)} \quad & (P_{83} \land P_{82} \land P_{49}) \rightarrow \lnot P_{84} \\[4pt] \vdash \quad & \lnot P_{84} \end{aligned} \]

jamesFaithLine — James's faith (the faith James calls dead)

James's faith: the faith James 2:24 denies justifies is the faith apart from works that he calls dead; the faith the Reformers say alone justifies is no dead faith. So the phrase James denies is not the formula they affirm.

\[ \begin{aligned} \text{(1)} \quad & P_{81} \\ \text{(2)} \quad & P_{85} \\ \text{(3)} \quad & P_{86} \\ \text{(4)} \quad & (P_{81} \land P_{85} \land P_{86}) \rightarrow P_{87} \\[4pt] \vdash \quad & P_{87} \end{aligned} \]

catholicJamesWordLine — James 2:24, read for the increase of justification

Trent's reading of James's word: "justified by works" is the increase of the justice received, so James 2:24 teaches the increase of justification.

\[ \begin{aligned} \text{(1)} \quad & P_{23} \\ \text{(2)} \quad & P_{82} \\ \text{(3)} \quad & P_{84} \\ \text{(4)} \quad & (P_{23} \land P_{82} \land P_{84}) \rightarrow P_{88} \\[4pt] \vdash \quad & P_{88} \end{aligned} \]

catholicJamesWorksLine — James 2:24, read by canon 24

Trent's reading of what works do, applied to James 2:24: the works by which a person is justified are a cause of the increase, so they are not merely fruit and evidence.

\[ \begin{aligned} \text{(1)} \quad & P_{23} \\ \text{(2)} \quad & P_{82} \\ \text{(3)} \quad & P_{89} \\ \text{(4)} \quad & (P_{23} \land P_{82} \land P_{89}) \rightarrow \lnot P_{21} \\[4pt] \vdash \quad & \lnot P_{21} \end{aligned} \]

trentRevelationLine — Revelation 22:11, as Trent quotes it

Trent's Revelation 22:11: "He that is just, let him be justified still".

\[ \begin{aligned} \text{(1)} \quad & P_{90} \\ \text{(2)} \quad & P_{90} \rightarrow P_{88} \\[4pt] \vdash \quad & P_{88} \end{aligned} \]

trentSirachLine — Sirach 18:22, as Trent quotes it

Trent's Sirach 18:22: "Be not afraid to be justified even to death".

\[ \begin{aligned} \text{(1)} \quad & P_{92} \\ \text{(2)} \quad & P_{92} \rightarrow P_{88} \\[4pt] \vdash \quad & P_{88} \end{aligned} \]

revelationTextLine — Revelation 22:11, in the Greek

Revelation 22:11 in Greek: the verse says "let the righteous still do righteousness"; the original outweighs any translation; so its inspired text does not say "be justified still".

\[ \begin{aligned} \text{(1)} \quad & P_{91} \\ \text{(2)} \quad & P_{94} \\ \text{(3)} \quad & (P_{91} \land P_{94}) \rightarrow \lnot P_{90} \\[4pt] \vdash \quad & \lnot P_{90} \end{aligned} \]

sirachTextLine — Sirach 18:22, in the Greek

Sirach 18:22 in Greek: the verse is about paying a vow promptly; the original outweighs any translation; so its inspired text does not speak of being justified more and more until death.

\[ \begin{aligned} \text{(1)} \quad & P_{93} \\ \text{(2)} \quad & P_{94} \\ \text{(3)} \quad & (P_{93} \land P_{94}) \rightarrow \lnot P_{92} \\[4pt] \vdash \quad & \lnot P_{92} \end{aligned} \]

trentRewardLine — The reward of works (Trent, Session VI, ch. 16)

The reward of works, as Trent reads it: God rewards the labor of believers (1 Corinthians 15:58, Hebrews 6:10, Hebrews 10:35, 2 Timothy 4:8); the reward is rendered to those works as merits (chapter 16, canon 32); so works are not merely the fruit of justification. The second ground is stated as Trent states it. The texts say "reward"; that the reward is rendered to merits is the council's own claim, introduced with "we must believe".

\[ \begin{aligned} \text{(1)} \quad & P_{103} \\ \text{(2)} \quad & P_{105} \\ \text{(3)} \quad & (P_{103} \land P_{105}) \rightarrow \lnot P_{21} \\[4pt] \vdash \quad & \lnot P_{21} \end{aligned} \]

renewalWordLine — James's word, read through Paul's (the renewal reading)

James's word, read through Paul's — the renewal reading: Paul's δικαιόω denotes the renewal of the inward man, as Augustine glossed it and VanLandingham argues from the lexicon; James uses the word as Paul does; and James says Abraham was justified by works at Genesis 22, after Genesis 15:6 had been spoken. So James's δικαιόω denotes the increase of the justice received. This is the strongest reading of the word against the lexical case that the library has found: it argues the increase from Paul's word rather than asserting it.

\[ \begin{aligned} \text{(1)} \quad & P_{50} \\ \text{(2)} \quad & P_{104} \\ \text{(3)} \quad & P_{82} \\ \text{(4)} \quad & (P_{50} \land P_{104} \land P_{82}) \rightarrow P_{84} \\[4pt] \vdash \quad & P_{84} \end{aligned} \]

westminsterRewardLine — The reward of works, of grace (Westminster XVI.5, XVI.6)

The reward of works, as Westminster reads it (XVI.5, XVI.6): God rewards the labor of believers, Hebrews 6:10 among the texts; having done all, they are unworthy servants who have done only their duty (Luke 17:10); wages are reckoned as due to one who works, a gift to one who believes (Romans 4:4–5); and their sacrifices are acceptable to God through Jesus Christ (1 Peter 2:5). So the reward is not rendered to their works as merits.

Every ground is a text, and Westminster gives each as a proof of these sections. What is Westminster's own is the step, a reading of the texts, rated disputed.

\[ \begin{aligned} \text{(1)} \quad & P_{103} \\ \text{(2)} \quad & P_{102} \\ \text{(3)} \quad & P_{4} \\ \text{(4)} \quad & P_{106} \\ \text{(5)} \quad & (P_{103} \land P_{102} \land P_{4} \land P_{106}) \rightarrow \lnot P_{105} \\[4pt] \vdash \quad & \lnot P_{105} \end{aligned} \]

The positions

jamesLexicalCase — James's word (δικαιόω, by the rule of least meaning)

James's word: δικαιόω in James does not denote the increase of justice.

\[ \begin{aligned} \text{(1)} \quad & P_{83} \\ \text{(2)} \quad & P_{82} \\ \text{(3)} \quad & P_{49} \\ \text{(4)} \quad & (P_{83} \land P_{82} \land P_{49}) \rightarrow \lnot P_{84} \\[4pt] \vdash \quad & \lnot P_{84} \end{aligned} \]

Grounded in scripture alone: James 2:21–25: Abraham justified by works at Genesis 22, fulfilling Genesis 15:6; Rahab justified by works.

jamesFaithCase — James's faith (the faith James calls dead)

James's faith: the phrase James denies is not the Reformers' formula.

\[ \begin{aligned} \text{(1)} \quad & P_{81} \\ \text{(2)} \quad & P_{85} \\ \text{(3)} \quad & P_{86} \\ \text{(4)} \quad & (P_{81} \land P_{85} \land P_{86}) \rightarrow P_{87} \\[4pt] \vdash \quad & P_{87} \end{aligned} \]

No premise here rests on scripture alone.

fruitSource

Westminster's reading of its proof texts: from Ephesians 2:8–10, James 2:18–22, Romans 6:22 and Luke 17:10 to "works are the fruit and evidence of saving faith, not its ground" (XVI.2, XVI.5).

This rates the step's support, and it is wellSupported. The Reformed confess it, and so do the Lutheran World Federation and the Catholic Church together: "good works ... follow justification and are its fruits", and "whatever in the justified precedes or follows the free gift of faith is neither the basis of justification nor merits it" (Joint Declaration §§37, 25).

Whether a dissent brings the step down is computed, not cited (TestimonyArguments.SolaFide.Ratings). Trent dissents twice: canon 24, and chapter 16's reading of the reward texts. Under the tradition standard both are credible, and the step is disputed. Under the evidence standard neither is, because each rests at one claim on the council's word.

def fruitSource : Source :=
  {
    primary :=
      Reference.work westminsterConfession
        (Bib.Locus.sectionRef "XVI.2, XVI.5"),
    supporting :=
      [Reference.work jointDeclarationJustification
          (Bib.Locus.sectionRef "§§25, 37")],
    tradition := Tradition.reformedProtestant,
    confidence := Confidence.wellSupported }

fruitLine — Works as fruit (Westminster XVI.2, XVI.5, and its proofs)

Works as fruit, from Westminster's proof texts: saved not as a result of works and created for good works (Ephesians 2:8–10); faith shown by works (James 2:18, 22); the fruit that leads to sanctification (Romans 6:22); unworthy servants who have done only their duty (Luke 17:10). So works are the fruit and evidence of saving faith, not its ground.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{99} \\ \text{(3)} \quad & P_{100} \\ \text{(4)} \quad & P_{101} \\ \text{(5)} \quad & P_{102} \\ \text{(6)} \quad & (P_{1} \land P_{99} \land P_{100} \land P_{101} \land P_{102}) \rightarrow P_{21} \\[4pt] \vdash \quad & P_{21} \end{aligned} \]

jamesHarmonyCase — Harmonisation of James 2:24

The Reformed harmony of James with Paul: James's target is a barren faith, and works are the fruit of saving faith, not its ground — derived from Westminster's proof texts rather than assumed. The James line here is the library's jamesLine with "fruit, not ground" taken from fruitLine instead of held as a ground.

\[ \begin{aligned} \text{(1)} \quad & P_{1} \\ \text{(2)} \quad & P_{99} \\ \text{(3)} \quad & P_{100} \\ \text{(4)} \quad & P_{101} \\ \text{(5)} \quad & P_{102} \\ \text{(6)} \quad & P_{20} \\ \text{(7)} \quad & (P_{1} \land P_{99} \land P_{100} \land P_{101} \land P_{102}) \rightarrow P_{21} \\ \text{(8)} \quad & (P_{20} \land P_{21}) \rightarrow P_{22} \\[4pt] \vdash \quad & P_{22} \end{aligned} \]

No premise here rests on scripture alone.

catholicJamesOnTheWord — James 2:24, read for the increase of justification

Trent on James's word: James 2:24 teaches the increase of justification, because James's δικαιόω denotes it.

\[ \begin{aligned} \text{(1)} \quad & P_{23} \\ \text{(2)} \quad & P_{82} \\ \text{(3)} \quad & P_{84} \\ \text{(4)} \quad & (P_{23} \land P_{82} \land P_{84}) \rightarrow P_{88} \\[4pt] \vdash \quad & P_{88} \end{aligned} \]

Grounded in scripture alone: James 2:21–25: Abraham justified by works at Genesis 22, fulfilling Genesis 15:6; Rahab justified by works.

catholicJamesOnWorks — James 2:24, read by canon 24

Trent on what works do: James 2:24's works are a cause of the increase of justification, not merely its fruit.

\[ \begin{aligned} \text{(1)} \quad & P_{23} \\ \text{(2)} \quad & P_{82} \\ \text{(3)} \quad & P_{89} \\ \text{(4)} \quad & (P_{23} \land P_{82} \land P_{89}) \rightarrow \lnot P_{21} \\[4pt] \vdash \quad & \lnot P_{21} \end{aligned} \]

Grounded in scripture alone: James 2:21–25: Abraham justified by works at Genesis 22, fulfilling Genesis 15:6; Rahab justified by works.

trentOnRevelation — Revelation 22:11, as Trent quotes it

Trent on Revelation 22:11.

\[ \begin{aligned} \text{(1)} \quad & P_{90} \\ \text{(2)} \quad & P_{90} \rightarrow P_{88} \\[4pt] \vdash \quad & P_{88} \end{aligned} \]

No premise here rests on scripture alone.

trentOnSirach — Sirach 18:22, as Trent quotes it

Trent on Sirach 18:22.

\[ \begin{aligned} \text{(1)} \quad & P_{92} \\ \text{(2)} \quad & P_{92} \rightarrow P_{88} \\[4pt] \vdash \quad & P_{88} \end{aligned} \]

No premise here rests on scripture alone.

revelationTextCase — Revelation 22:11, in the Greek

What Revelation 22:11 says, in the Greek.

\[ \begin{aligned} \text{(1)} \quad & P_{91} \\ \text{(2)} \quad & P_{94} \\ \text{(3)} \quad & (P_{91} \land P_{94}) \rightarrow \lnot P_{90} \\[4pt] \vdash \quad & \lnot P_{90} \end{aligned} \]

No premise here rests on scripture alone.

sirachTextCase — Sirach 18:22, in the Greek

What Sirach 18:22 says, in the Greek.

\[ \begin{aligned} \text{(1)} \quad & P_{93} \\ \text{(2)} \quad & P_{94} \\ \text{(3)} \quad & (P_{93} \land P_{94}) \rightarrow \lnot P_{92} \\[4pt] \vdash \quad & \lnot P_{92} \end{aligned} \]

No premise here rests on scripture alone.

trentOnReward — The reward of works (Trent, Session VI, ch. 16)

Trent on the reward of works: what God rewards is not merely fruit.

\[ \begin{aligned} \text{(1)} \quad & P_{103} \\ \text{(2)} \quad & P_{105} \\ \text{(3)} \quad & (P_{103} \land P_{105}) \rightarrow \lnot P_{21} \\[4pt] \vdash \quad & \lnot P_{21} \end{aligned} \]

No premise here rests on scripture alone.

westminsterOnReward — The reward of works, of grace (Westminster XVI.5, XVI.6)

Westminster on the reward of works: the reward is of grace, not rendered to merits.

\[ \begin{aligned} \text{(1)} \quad & P_{103} \\ \text{(2)} \quad & P_{102} \\ \text{(3)} \quad & P_{4} \\ \text{(4)} \quad & P_{106} \\ \text{(5)} \quad & (P_{103} \land P_{102} \land P_{4} \land P_{106}) \rightarrow \lnot P_{105} \\[4pt] \vdash \quad & \lnot P_{105} \end{aligned} \]

No premise here rests on scripture alone.

renewalOnTheWord — James's word, read through Paul's (the renewal reading)

The renewal reading of James's word: it denotes the increase of justice, because Paul's does and James's is Paul's.

\[ \begin{aligned} \text{(1)} \quad & P_{50} \\ \text{(2)} \quad & P_{104} \\ \text{(3)} \quad & P_{82} \\ \text{(4)} \quad & (P_{50} \land P_{104} \land P_{82}) \rightarrow P_{84} \\[4pt] \vdash \quad & P_{84} \end{aligned} \]

Grounded in scripture alone: James 2:21–25: Abraham justified by works at Genesis 22, fulfilling Genesis 15:6; Rahab justified by works.

Each position holds, and has a model

reformedJamesReading

The Reformed world of James: every text as it reads, James's δικαιόω a declaration and not an increase, the faith James denies not the Reformers', and Trent's Latin readings of Revelation 22:11 and Sirach 18:22 not what the verses say; and the reward of works not rendered to them as merits.

def reformedJamesReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.jamesJustifyDenotesIncrease => False
    | Claim.worksCauseIncreaseOfJustification => False
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.scriptureTeachesIncreaseOfJustification => False
    | Claim.rewardRenderedToMerits => False
    | x => True

tridentineJamesReading

Trent's world of James: every text as Trent reads it — James's "justified" the increase of justice, its works a cause of that increase and not merely fruit, Revelation 22:11 and Sirach 18:22 as the Latin has them.

def tridentineJamesReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.worksAreFruitNotGround => False
    | x => True

jamesLexicalCase_establishes

jamesLexicalCase delivers its conclusion.

theorem jamesLexicalCase_establishes : Establishes jamesLexicalCase
-- axioms: propext, Quot.sound

jamesLexicalCase_is_satisfiable

jamesLexicalCase's premises can all be true.

theorem jamesLexicalCase_is_satisfiable : Satisfiable
    jamesLexicalCase.premises
-- axioms: propext, Quot.sound

jamesFaithCase_establishes

jamesFaithCase delivers its conclusion.

theorem jamesFaithCase_establishes : Establishes jamesFaithCase
-- axioms: propext, Quot.sound

jamesFaithCase_is_satisfiable

jamesFaithCase's premises can all be true.

theorem jamesFaithCase_is_satisfiable : Satisfiable jamesFaithCase.premises
-- axioms: propext, Quot.sound

jamesHarmonyCase_establishes

jamesHarmonyCase delivers its conclusion.

theorem jamesHarmonyCase_establishes : Establishes jamesHarmonyCase
-- axioms: propext, Quot.sound

jamesHarmonyCase_is_satisfiable

jamesHarmonyCase's premises can all be true.

theorem jamesHarmonyCase_is_satisfiable : Satisfiable
    jamesHarmonyCase.premises
-- axioms: propext, Quot.sound

catholicJamesOnTheWord_establishes

catholicJamesOnTheWord delivers its conclusion.

theorem catholicJamesOnTheWord_establishes : Establishes
    catholicJamesOnTheWord
-- axioms: propext, Quot.sound

catholicJamesOnTheWord_is_satisfiable

catholicJamesOnTheWord's premises can all be true.

theorem catholicJamesOnTheWord_is_satisfiable : Satisfiable
    catholicJamesOnTheWord.premises
-- axioms: propext, Quot.sound

catholicJamesOnWorks_establishes

catholicJamesOnWorks delivers its conclusion.

theorem catholicJamesOnWorks_establishes : Establishes catholicJamesOnWorks
-- axioms: propext, Quot.sound

catholicJamesOnWorks_is_satisfiable

catholicJamesOnWorks's premises can all be true.

theorem catholicJamesOnWorks_is_satisfiable : Satisfiable
    catholicJamesOnWorks.premises
-- axioms: propext, Quot.sound

trentOnRevelation_establishes

trentOnRevelation delivers its conclusion.

theorem trentOnRevelation_establishes : Establishes trentOnRevelation
-- axioms: propext, Quot.sound

trentOnRevelation_is_satisfiable

trentOnRevelation's premises can all be true.

theorem trentOnRevelation_is_satisfiable : Satisfiable
    trentOnRevelation.premises
-- axioms: propext, Quot.sound

trentOnSirach_establishes

trentOnSirach delivers its conclusion.

theorem trentOnSirach_establishes : Establishes trentOnSirach
-- axioms: propext, Quot.sound

trentOnSirach_is_satisfiable

trentOnSirach's premises can all be true.

theorem trentOnSirach_is_satisfiable : Satisfiable trentOnSirach.premises
-- axioms: propext, Quot.sound

revelationTextCase_establishes

revelationTextCase delivers its conclusion.

theorem revelationTextCase_establishes : Establishes revelationTextCase
-- axioms: propext, Quot.sound

revelationTextCase_is_satisfiable

revelationTextCase's premises can all be true.

theorem revelationTextCase_is_satisfiable : Satisfiable
    revelationTextCase.premises
-- axioms: propext, Quot.sound

sirachTextCase_establishes

sirachTextCase delivers its conclusion.

theorem sirachTextCase_establishes : Establishes sirachTextCase
-- axioms: propext, Quot.sound

sirachTextCase_is_satisfiable

sirachTextCase's premises can all be true.

theorem sirachTextCase_is_satisfiable : Satisfiable sirachTextCase.premises
-- axioms: propext, Quot.sound

trentOnReward_establishes

trentOnReward delivers its conclusion.

theorem trentOnReward_establishes : Establishes trentOnReward
-- axioms: propext, Quot.sound

trentOnReward_is_satisfiable

trentOnReward's premises can all be true.

theorem trentOnReward_is_satisfiable : Satisfiable trentOnReward.premises
-- axioms: propext, Quot.sound

westminsterOnReward_establishes

westminsterOnReward delivers its conclusion.

theorem westminsterOnReward_establishes : Establishes westminsterOnReward
-- axioms: propext, Quot.sound

westminsterOnReward_is_satisfiable

westminsterOnReward's premises can all be true.

theorem westminsterOnReward_is_satisfiable : Satisfiable
    westminsterOnReward.premises
-- axioms: propext, Quot.sound

renewalOnTheWord_establishes

renewalOnTheWord delivers its conclusion.

theorem renewalOnTheWord_establishes : Establishes renewalOnTheWord
-- axioms: propext, Quot.sound

renewalOnTheWord_is_satisfiable

renewalOnTheWord's premises can all be true.

theorem renewalOnTheWord_is_satisfiable : Satisfiable
    renewalOnTheWord.premises
-- axioms: propext, Quot.sound

Strength

jamesLexicalCase_strength

James's word rests on nothing rated below wellSupported.

theorem jamesLexicalCase_strength : jamesLexicalCase.strength = 2
-- axioms: propext

jamesFaithCase_strength

James's faith rests on nothing rated below wellSupported.

theorem jamesFaithCase_strength : jamesFaithCase.strength = 2
-- axioms: propext

jamesHarmonyCase_strength

The Reformed harmony rests on its reading of James's target, and on works as fruit and not ground, both disputed.

theorem jamesHarmonyCase_strength : jamesHarmonyCase.strength = 0
-- axioms: propext

catholicJamesOnTheWord_strength

Trent on James's word rests on its reading of the word, disputed.

theorem catholicJamesOnTheWord_strength : catholicJamesOnTheWord.strength = 0
-- axioms: propext

catholicJamesOnWorks_strength

Trent on what works do rests on canon 24, disputed.

theorem catholicJamesOnWorks_strength : catholicJamesOnWorks.strength = 0
-- axioms: propext

trentOnRevelation_strength

Trent on Revelation 22:11 rests on the Latin reading, disputed.

theorem trentOnRevelation_strength : trentOnRevelation.strength = 0
-- axioms: propext

trentOnSirach_strength

Trent on Sirach 18:22 rests on the Latin reading, disputed.

theorem trentOnSirach_strength : trentOnSirach.strength = 0
-- axioms: propext

revelationTextCase_strength

Revelation 22:11 in Greek rests on nothing below wellSupported.

theorem revelationTextCase_strength : revelationTextCase.strength = 2
-- axioms: propext

sirachTextCase_strength

Sirach 18:22 in Greek rests on nothing below wellSupported.

theorem sirachTextCase_strength : sirachTextCase.strength = 2
-- axioms: propext

trentOnReward_strength

Trent on the reward of works rests on its reading of the texts, disputed.

theorem trentOnReward_strength : trentOnReward.strength = 0
-- axioms: propext

westminsterOnReward_strength

Westminster on the reward rests on its reading of the texts, disputed.

theorem westminsterOnReward_strength : westminsterOnReward.strength = 0
-- axioms: propext

renewalOnTheWord_strength

The renewal reading rests on Paul's word as renewal, disputed.

theorem renewalOnTheWord_strength : renewalOnTheWord.strength = 0
-- axioms: propext

The dispute

jamesPartyNode

The package each party argues from.

def jamesPartyNode : JamesParty → ArgumentPackage Claim

jamesDispute

The dispute over James 2:24 and the increase of justification: every party's premises have a model, every party establishes its conclusion, and every party's inferences are rated.

def jamesDispute : Dispute Claim JamesParty :=
  { node := jamesPartyNode,
    consistent := jamesDispute._proof_1,
    sound := jamesDispute._proof_2,
    rated := jamesDispute._proof_15 }

jamesPartyDefeats

The defeats of the dispute, as a table.

def jamesPartyDefeats : JamesParty → JamesParty → Prop

instDecidableRelJamesPartyJamesPartyDefeats

The table is finite, so membership in it is decidable.

def instDecidableRelJamesPartyJamesPartyDefeats : DecidableRel
    jamesPartyDefeats

jamesPartyStrength

Each party's weakest link: wellSupported for the readings of the words and the texts, the bottom for the rest.

def jamesPartyStrength : JamesParty → ℕ :=
  fun x =>
    match x with
    | JamesParty.lexical => 2
    | JamesParty.faith => 2
    | JamesParty.revelationText => 2
    | JamesParty.sirachText => 2
    | x => 0

jamesPartyNode_strength

Each party's weakest link, as its package computes it.

theorem jamesPartyNode_strength : ∀ (i : JamesParty), (jamesPartyNode
    i).strength = jamesPartyStrength i
-- axioms: propext

jamesDispute_defeats

Who defeats whom, all 144 pairs. James's word defeats Trent's reading of it, and the reading's reply fails; it defeats the renewal reading too, whose reply fails for the same reason — it rests on Paul's word as renewal, rated disputed, against a case rated wellSupported. The Greek of Revelation 22:11 and of Sirach 18:22 defeat Trent's Latin readings of them, and the replies fail. The Reformed harmony defeats, and is defeated by, both of Trent's readings of what works do: canon 24's, and chapter 16's from the reward texts. Westminster's reading of the reward texts and chapter 16's defeat each other: each denies what the other holds about merit, and both rest on a reading rated disputed. The Reformed harmony and the renewal reading defeat each other through what their claims mean: the harmony holds that James 2:24 is compatible with Paul, which says James's word has not Paul's sense, and the renewal reading holds that it has (TestimonyArguments.Meanings.SolaFide.joins); both rest on a reading rated disputed. Nothing else: in particular, nothing in the dispute contradicts James's faith, and James's word does not touch Trent's reading of what works do, which grants the word and makes a claim about God's verdict instead.

Every cell is computed from the parties' premises by Horn.defeats? and checked by the kernel.

theorem jamesDispute_defeats : ∀ (i j : JamesParty), jamesDispute.defeats i j
    ↔ jamesPartyDefeats i j
-- axioms: propext, Classical.choice, Quot.sound

jamesFinite

The dispute in the form the verdict solver computes with.

def jamesFinite : Solver.Finite jamesDispute.defeats :=
  {
    parties :=
      [JamesParty.lexical, JamesParty.faith,
        JamesParty.harmony, JamesParty.trentOnTheWord,
        JamesParty.trentOnWorks, JamesParty.trentOnRevelation,
        JamesParty.trentOnSirach, JamesParty.revelationText,
        JamesParty.sirachText, JamesParty.trentOnReward,
        JamesParty.renewalOnTheWord,
        JamesParty.westminsterOnReward],
    complete := jamesFinite._proof_1,
    defeats := fun i j => decide (jamesPartyDefeats i j),
    spec := jamesFinite._proof_2 }

What the dispute decides

jamesWordsUnanswered

How the dispute is settled as far as it can be, in one stage: nothing defeats James's word, James's faith, or the Greek of the two verses, so they come first; and nothing joins them. Trent's readings of James's word, of Revelation 22:11 and of Sirach 18:22 each have an attacker these leave standing — the one that defeats it. The Reformed harmony and Trent's reading of what works do have each other.

What the dispute forces is exactly James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek.

  • Stage 1: James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek.
    • James's word (δικαιόω, by the rule of least meaning) is defeated by nothing.
    • James's faith (the faith James calls dead) is defeated by nothing.
    • Revelation 22:11, in the Greek is defeated by nothing.
    • Sirach 18:22, in the Greek is defeated by nothing.
  • Nothing else is forced:
    • James 2:24, read by canon 24 defeats Harmonisation of James 2:24, and nothing forced defeats James 2:24, read by canon 24.
    • James's word (δικαιόω, by the rule of least meaning) defeats James 2:24, read for the increase of justification, and nothing forced defeats James's word (δικαιόω, by the rule of least meaning).
    • Harmonisation of James 2:24 defeats James 2:24, read by canon 24, and nothing forced defeats Harmonisation of James 2:24.
    • Revelation 22:11, in the Greek defeats Revelation 22:11, as Trent quotes it, and nothing forced defeats Revelation 22:11, in the Greek.
    • Sirach 18:22, in the Greek defeats Sirach 18:22, as Trent quotes it, and nothing forced defeats Sirach 18:22, in the Greek.
    • Harmonisation of James 2:24 defeats The reward of works (Trent, Session VI, ch. 16), and nothing forced defeats Harmonisation of James 2:24.
    • James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading), and nothing forced defeats James's word (δικαιόω, by the rule of least meaning).
    • The reward of works (Trent, Session VI, ch. 16) defeats The reward of works, of grace (Westminster XVI.5, XVI.6), and nothing forced defeats The reward of works (Trent, Session VI, ch. 16).

What this rests on. The reasons state 8 defeats and 60 absences of defeat, each a cell of the defeat table, jamesDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

james_words_prevail

What James's words say, and what the Greek of Trent's other two texts says, prevails outright. The grounded extension is exactly four parties: James's δικαιόω does not denote the increase of justice; the faith James 2:24 denies is not the faith of the Reformers' formula; Revelation 22:11 does not say "be justified still"; and Sirach 18:22 does not speak of growth in justice. Nothing in the dispute answers any of them.

What this does not claim: that James 2:24 is compatible with Paul, or that works are not a cause of the increase of justification. Neither is forced.

theorem james_words_prevail : Framework.grounded jamesDispute.defeats =
    {JamesParty.lexical, JamesParty.faith, JamesParty.revelationText,
    JamesParty.sirachText}
-- axioms: propext, Classical.choice, Quot.sound

trentOnTheWordAnswered

Why Trent's reading of James's word cannot be defended: James's word defeats it, and nothing defeats James's word.

James 2:24, read for the increase of justification cannot be defended: no admissible position holds it.

  • James's word (δικαιόω, by the rule of least meaning) defeats James 2:24, read for the increase of justification, and nothing defeats James's word (δικαιόω, by the rule of least meaning).

What this rests on. The reasons state 1 defeat and 12 absences of defeat, each a cell of the defeat table, jamesDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

trent_on_james_word_indefensible

Trent's reading of James's word cannot be defended. If "justified by works" in James 2:24 is read as the increase of the justice received — being made more just — it cannot be held: δικαιόω declares, acquits or vindicates wherever it is used outside Paul, James uses it of Abraham at Genesis 22, after Genesis 15:6 had been spoken, and of Rahab, and nothing in James's context requires a second, inward sense. The step is rated wellSupported; the reading rests on Trent's word alone.

What this does not claim: that works are no cause of the increase of justification. That is a claim about God's verdict, not about James's word, and it is weighed separately (trent_on_works_defensible).

theorem trent_on_james_word_indefensible : ∀ (S : Set JamesParty),
    Framework.Admissible jamesDispute.defeats S → JamesParty.trentOnTheWord ∉
    S
-- axioms: propext, Classical.choice, Quot.sound

trentOnRevelationAnswered

Why Trent's Revelation 22:11 cannot be defended: the Greek defeats it, and nothing defeats the Greek.

Revelation 22:11, as Trent quotes it cannot be defended: no admissible position holds it.

  • Revelation 22:11, in the Greek defeats Revelation 22:11, as Trent quotes it, and nothing defeats Revelation 22:11, in the Greek.

What this rests on. The reasons state 1 defeat and 12 absences of defeat, each a cell of the defeat table, jamesDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

trent_on_revelation_indefensible

Trent's Revelation 22:11 cannot be defended as a text for the increase of justification. "He that is just, let him be justified still" is the Vulgate's iustificetur adhuc; the Greek, as the critical text prints it and the Catholic Church's own translation renders it, says "the righteous must still do right"; and the original, "written by the inspired author himself", outweighs any translation (Divino Afflante Spiritu §16).

What this does not claim: that Trent's citation is a doctrinal error. Read as Pius XII reads Trent's decree on the Vulgate — a juridically authentic reading, free from error in faith — it is consistent with all he says, and rests on the Church's authority instead of the inspired text (TestimonyArguments.SolaFide.Vulgate).

theorem trent_on_revelation_indefensible : ∀ (S : Set JamesParty),
    Framework.Admissible jamesDispute.defeats S → JamesParty.trentOnRevelation
    ∉ S
-- axioms: propext, Classical.choice, Quot.sound

trentOnSirachAnswered

Why Trent's Sirach 18:22 cannot be defended: the Greek defeats it, and nothing defeats the Greek.

Sirach 18:22, as Trent quotes it cannot be defended: no admissible position holds it.

  • Sirach 18:22, in the Greek defeats Sirach 18:22, as Trent quotes it, and nothing defeats Sirach 18:22, in the Greek.

What this rests on. The reasons state 1 defeat and 12 absences of defeat, each a cell of the defeat table, jamesDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

trent_on_sirach_indefensible

Trent's Sirach 18:22 cannot be defended as a text for the increase of justification. "Be not afraid to be justified even to death" is the Vulgate's verse; the Greek, as the Catholic Church's own translation renders it, is about paying a vow: "do not wait until death to fulfill them". Whether Sirach is Scripture is not in question here: the verdict holds on Trent's own canon.

theorem trent_on_sirach_indefensible : ∀ (S : Set JamesParty),
    Framework.Admissible jamesDispute.defeats S → JamesParty.trentOnSirach ∉ S
-- axioms: propext, Classical.choice, Quot.sound

trentOnWorksStands

Why Trent's reading of what works do can be defended: it answers the one party that attacks it, the Reformed harmony, itself.

James 2:24, read by canon 24 is accepted on some resolution.

  • A position holding James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), James 2:24, read by canon 24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek can be held.
  • None of James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), James 2:24, read by canon 24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek defeats another, and each attack on them is answered from among them:
    • Harmonisation of James 2:24 defeats James 2:24, read by canon 24, and James 2:24, read by canon 24 defeats Harmonisation of James 2:24.

What this rests on. The reasons state 2 defeats and 59 absences of defeat, each a cell of the defeat table, jamesDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

trent_on_works_defensible

Trent's reading of what works do can be defended — with James's word, James's faith, and the Greek of both verses. It grants that James's "justified" is a verdict and not an increase of the word's sense, and holds that the works by which James says a person is justified are a cause of that verdict's increase, not merely its fruit. The Reformed harmony denies it, and the dispute cannot choose: each side rests on its own confession at that point, rated disputed.

theorem trent_on_works_defensible : Framework.CredulouslyAccepted
    jamesDispute.defeats JamesParty.trentOnWorks
-- axioms: propext, Classical.choice, Quot.sound

trentOnWorksAnswered

Why it is not forced: a defensible position holds the Reformed harmony, which defeats it.

James 2:24, read by canon 24 is not accepted on every resolution.

  • A position holding James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Harmonisation of James 2:24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek can be held, and it holds Harmonisation of James 2:24; Harmonisation of James 2:24 conflicts with James 2:24, read by canon 24: Harmonisation of James 2:24 defeats James 2:24, read by canon 24, and James 2:24, read by canon 24 defeats Harmonisation of James 2:24.
  • None of James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Harmonisation of James 2:24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek defeats another, and each attack on them is answered from among them:
    • James 2:24, read by canon 24 defeats Harmonisation of James 2:24, and Harmonisation of James 2:24 defeats James 2:24, read by canon 24.
    • The reward of works (Trent, Session VI, ch. 16) defeats Harmonisation of James 2:24, and Harmonisation of James 2:24 defeats The reward of works (Trent, Session VI, ch. 16).
    • James's word, read through Paul's (the renewal reading) defeats Harmonisation of James 2:24, and James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading).

What this rests on. The reasons state 6 defeats and 57 absences of defeat, each a cell of the defeat table, jamesDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

trent_on_works_not_forced

Nor is it forced. A maximal defensible position holds the Reformed harmony, with James's word and faith, and cannot hold Trent's reading of what works do with it.

theorem trent_on_works_not_forced : ¬Framework.SkepticallyAccepted
    jamesDispute.defeats JamesParty.trentOnWorks
-- axioms: propext, Classical.choice, Quot.sound

harmonyStands

Why the Reformed harmony can be defended: it answers Trent's reading of what works do itself.

Harmonisation of James 2:24 is accepted on some resolution.

  • A position holding James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Harmonisation of James 2:24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek can be held.
  • None of James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Harmonisation of James 2:24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek defeats another, and each attack on them is answered from among them:
    • James 2:24, read by canon 24 defeats Harmonisation of James 2:24, and Harmonisation of James 2:24 defeats James 2:24, read by canon 24.
    • The reward of works (Trent, Session VI, ch. 16) defeats Harmonisation of James 2:24, and Harmonisation of James 2:24 defeats The reward of works (Trent, Session VI, ch. 16).
    • James's word, read through Paul's (the renewal reading) defeats Harmonisation of James 2:24, and James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading).

What this rests on. The reasons state 6 defeats and 57 absences of defeat, each a cell of the defeat table, jamesDispute_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

harmony_holds_fruit

The Reformed harmony derives that works are the fruit of faith and not its ground, from Westminster's proof texts.

theorem harmony_holds_fruit : Entails (jamesDispute.node
    JamesParty.harmony).premises (p Claim.worksAreFruitNotGround)
-- axioms: propext, Classical.choice, Quot.sound

trentOnWorks_denies_fruit

Trent's reading of what works do denies it.

theorem trentOnWorks_denies_fruit : Entails (jamesDispute.node
    JamesParty.trentOnWorks).premises (∼p Claim.worksAreFruitNotGround)
-- axioms: propext, Classical.choice, Quot.sound

worksContested

Whether works are only the fruit of justification is contested, and the weighing confirms it. Heard as positions, the Reformed harmony, which holds it, and Trent's reading of James 2:24 by canon 24, which denies it, can each be defended, and neither is forced. The rating disputed on worksAreFruitNotGround is what the weighing finds.

def worksContested : Contested jamesDispute (p Claim.worksAreFruitNotGround) :=
  { holder := JamesParty.harmony,
    denier := JamesParty.trentOnWorks,
    holds := harmony_holds_fruit,
    denies := trentOnWorks_denies_fruit,
    holderDefensible := worksContested._proof_1,
    denierDefensible := trent_on_works_defensible }

What each position rests on

james_warrants

Where each position rests on someone's word alone (Testimony.Logic.Warrant). Trent's reading of the reward texts rests on the council's word at one claim, that the reward is rendered to merits; the renewal reading does at one claim, Trent's, that James's δικαιόω is Paul's — for Paul's word as renewal it has VanLandingham's lexical case. Otherwise, each of Trent's four readings, at the reading itself — Trent's word; the Reformed and the two readings of the Greek, at the principle that the original outweighs any translation — the word of Pius XII and of Westminster alike. James's word, James's faith and the Reformed harmony, which now derives "fruit, not ground" from Westminster's proof texts, rest on nothing but Scripture and evidence.

theorem james_warrants : jamesLexicalCase.restingOnAuthority = [] ∧
    jamesFaithCase.restingOnAuthority = [] ∧
    jamesHarmonyCase.restingOnAuthority = [] ∧
    catholicJamesOnTheWord.restingOnAuthority =
    [Claim.jamesJustifyDenotesIncrease] ∧
    catholicJamesOnWorks.restingOnAuthority =
    [Claim.worksCauseIncreaseOfJustification] ∧
    trentOnRevelation.restingOnAuthority = [Claim.rev22_11BeJustifiedStill] ∧
    trentOnSirach.restingOnAuthority = [Claim.sir18_22BeJustifiedToDeath] ∧
    revelationTextCase.restingOnAuthority = [Claim.originalTextDecides] ∧
    sirachTextCase.restingOnAuthority = [Claim.originalTextDecides] ∧
    trentOnReward.restingOnAuthority = [Claim.rewardRenderedToMerits] ∧
    renewalOnTheWord.restingOnAuthority = [Claim.jamesUsesDikaioAsPaul] ∧
    westminsterOnReward.restingOnAuthority = []
-- axioms: propext

TestimonyArguments.SolaFide.Vulgate — Trent's Latin texts, on Rome's own terms

Two of the three texts Trent cites for the increase of justification say "justified" only in Latin (TestimonyArguments.SolaFide.James). "He that is just, let him be justified still" is the Vulgate's Revelation 22:11, whose Greek says "let the righteous still do righteousness"; "Be not afraid to be justified even to death" is the Vulgate's Sirach 18:22, whose Greek is about paying vows. Trent introduces both with "as it is written" (Session VI, ch. 10), having declared the Vulgate "authentic" for "public lectures, disputations, sermons and expositions" (Session IV).

The reader's question is whether Rome contradicts itself here — whether what Pius XII taught about the original texts in Divino Afflante Spiritu (1943) cannot be held together with Trent's use of these two readings. This module answers it from Rome's own words only: Trent's, Pius XII's, and the Catholic Church's own translation of the Greek.

The answer depends on what Trent's "as it is written" claims

Read as a claim about what the inspired authors wrote, it cannot be held with Pius XII. He teaches that the original text, "written by the inspired author himself, has more authority and greater weight than any even the very best translation" (§16), and the original of these two verses — as the Church's own translation renders it — does not say "justified". Those commitments together have no model (trent_as_the_inspired_text_contradicts_pius). That is a contradiction on Rome's own terms, and every premise of it is Rome's.

Read as Pius XII reads Trent's decree on the Vulgate, there is no contradiction. Pius XII denies that recourse to the originals "in any way derogates" from Trent (§20): the Vulgate's authenticity is "juridical" rather than critical, and the Vulgate, "in the sense in which the Church has understood and understands it", is "free from any error whatsoever in matters of faith and morals" and "may be quoted safely ... in disputations" (§21). On that reading Trent quotes the Church's authentic Latin, not the inspired authors' words, and everything Rome says can be held together (pius_reading_is_consistent).

What the consistent reading costs. It moves the two texts' warrant from the inspired authors to the Church: the claims that carry it rest on Rome's word alone (pius_reading_rests_on_authority). And Pius XII asks that a doctrine taught from the Vulgate be confirmed from the original texts (§22), which at these two verses do not confirm it (pius_finds_no_confirmation). So on Rome's own terms the doctrine of the increase of justification is confirmed from the originals, if at all, by James 2:24 alone — where it is weighed in TestimonyArguments.SolaFide.James.

What this does not show

It does not show that Rome contradicts itself. Trent does not say which reading of its "as it is written" it means, and Pius XII supplies the reading on which there is no contradiction. What the module shows is the price of each reading: the first contradicts Pius XII; the second makes the two texts an appeal to the Church's authority, which Pius XII himself asks to be confirmed from the originals, and the originals do not confirm it.

Nor does it show that the doctrine is false. Pius XII holds the Vulgate free from error in faith because Rome holds the doctrine true on other grounds; this module is about what these two texts can carry.

Read as the inspired text

romeOnTheInspiredText

Rome's own commitments, with Trent's citation read as the inspired text: Trent's "as it is written" at Revelation 22:11 as a claim about what its author wrote; the Greek as the Catholic Church's own translation renders it; Pius XII's principle that the original outweighs any translation; and the step from the last two to "the inspired text does not say 'be justified still'".

\[ \begin{aligned} \text{(1)} \quad & P_{90} \\ \text{(2)} \quad & P_{91} \\ \text{(3)} \quad & P_{94} \\ \text{(4)} \quad & (P_{91} \land P_{94}) \rightarrow \lnot P_{90} \end{aligned} \]

trent_as_the_inspired_text_contradicts_pius

Trent's Revelation 22:11, read as what its inspired author wrote, cannot be held with Pius XII. The original "has more authority and greater weight than any even the very best translation" (Divino Afflante Spiritu §16), and the original of Revelation 22:11, as the Catholic Church's own translation renders it, says "the righteous must still do right". With those, the claim that the inspired author wrote "let him be justified still" has no model. Every premise is Rome's own.

What this does not claim: that Trent meant its citation so. Read as Pius XII reads Trent's Vulgate, there is no contradiction (pius_reading_is_consistent).

theorem trent_as_the_inspired_text_contradicts_pius : ¬Satisfiable
    romeOnTheInspiredText
-- axioms: propext, Classical.choice, Quot.sound

Read as Pius XII reads the Vulgate

piusConfirmationSource

Pius XII's step: a doctrine taught from the Vulgate is to be confirmed from the original texts (§22), and the originals of Revelation 22:11 and Sirach 18:22 do not say what the Latin says; so these two texts do not confirm the doctrine from the originals. Rated wellSupported: it is Pius XII's own demand, applied to texts whose originals the Church's own translation renders.

def piusConfirmationSource : Source :=
  {
    primary :=
      Reference.work divinoAfflanteSpiritu (Bib.Locus.sectionRef "§22"),
    supporting := [Reference.work nabre], tradition := Tradition.romanCatholic,
    confidence := Confidence.wellSupported }

piusOnTrentsVulgate — Pius XII, on Trent's Vulgate

Rome's own position on the two Latin texts, read as Pius XII reads Trent: Trent quotes the Vulgate as juridically authentic; the Vulgate is free from error in faith and morals; the original outweighs any translation, and the originals of the two verses do not say "justified"; a doctrine taught from the Vulgate is to be confirmed from the originals. Concluded: the two texts do not confirm the increase of justification from the originals.

\[ \begin{aligned} \text{(1)} \quad & P_{96} \\ \text{(2)} \quad & P_{95} \\ \text{(3)} \quad & P_{94} \\ \text{(4)} \quad & P_{91} \\ \text{(5)} \quad & P_{93} \\ \text{(6)} \quad & P_{97} \\ \text{(7)} \quad & (P_{91} \land P_{94}) \rightarrow \lnot P_{90} \\ \text{(8)} \quad & (P_{93} \land P_{94}) \rightarrow \lnot P_{92} \\ \text{(9)} \quad & (P_{97} \land \lnot P_{90} \land \lnot P_{92}) \rightarrow \lnot P_{98} \\[4pt] \vdash \quad & \lnot P_{98} \end{aligned} \]

No premise here rests on scripture alone.

piusReading

Rome's world, as Pius XII reads Trent: the Vulgate juridically authentic and free from error in faith; Trent quoting it so; the originals of the two verses without "justified", and outweighing any translation; and the two texts, so read, not confirming the doctrine from the originals. Everything else as Trent holds it.

def piusReading : Valuation Claim :=
  fun a =>
    match a with
    | Claim.rev22_11BeJustifiedStill => False
    | Claim.sir18_22BeJustifiedToDeath => False
    | Claim.latinTextsConfirmedFromOriginals => False
    | Claim.worksAreFruitNotGround => False
    | x => True

pius_reading_is_consistent

Read as Pius XII reads Trent's decree on the Vulgate, Rome is consistent. Trent quoting the Vulgate as juridically authentic, the Vulgate free from error in faith and morals, the original outweighing any translation, the Greek of the two verses as the Church's own translation renders it, and the demand that a doctrine taught from the Vulgate be confirmed from the originals: all of it can be held together.

theorem pius_reading_is_consistent : Satisfiable piusOnTrentsVulgate.premises
-- axioms: propext, Quot.sound

pius_finds_no_confirmation

On Pius XII's own terms, the two Latin texts do not confirm the increase of justification from the originals. He asks that a doctrine taught from the Vulgate be confirmed from the original texts (§22); the originals of Revelation 22:11 and Sirach 18:22 do not say "justified". So Trent's doctrine is confirmed from the originals, if at all, by James 2:24 alone.

theorem pius_finds_no_confirmation : Establishes piusOnTrentsVulgate
-- axioms: propext, Quot.sound

pius_reading_rests_on_authority

On that reading, the two texts rest on the Church's word. The claims that carry Trent's citation — that it quotes the Vulgate as juridically authentic, and that the Vulgate is free from error in faith — are cited to Pius XII alone (Testimony.Logic.Warrant); so are the principle that the original outweighs any translation and the demand for confirmation from the originals, which Westminster holds too.

theorem pius_reading_rests_on_authority :
    piusOnTrentsVulgate.restingOnAuthority =
    [Claim.trentQuotesTheVulgateJuridically,
    Claim.vulgateFreeFromDoctrinalError, Claim.originalTextDecides,
    Claim.doctrineToBeConfirmedFromOriginals]
-- axioms: propext

TestimonyArguments.SolaFide.Ratings — which dissents from the James steps are critiques

A step is rated disputed when someone dissents from it. The reader's question is the next one: is the dissent an argument, or only a disagreement? This module asks it of every dissent the library encodes from two steps of the Reformed reading of James, using the checks of Testimony.Logic.Credibility. A credible dissent:

  • is consistent;
  • denies the claim;
  • grants the step's grounds;
  • argues its denial by a step of its own, rather than asserting it;
  • rests its grounds on what a stated standard admits.

There are three standards, and every result is computed under each. The evidence standard admits Scripture and evidence anyone can check; the tradition standard also admits a council's or a confession's word; the Scripture standard is the evidence standard, except that a dissent from a step resting on Scripture alone must rest on Scripture alone too. Here the third gives what the first gives, every time, as computed.

James's word: how a rating moves

The lexical step reads James's δικαιόω as the declarative sense the word has outside Paul (jamesLexicalLine). Two dissents from it are encoded.

  • Trent's reading of the word holds the increase of justice as a premise: a disagreement, not a critique, under any standard.
  • The renewal reading argues it. Paul's δικαιόω denotes renewal, as VanLandingham argues from the lexicon and Augustine glossed it; James's word is Paul's; and James says Abraham was justified by works after Genesis 15:6. This is the strongest dissent the library has found, and it is a critique — but one of its grounds, that James's word is Paul's, rests on Trent's word alone (chapter 10). No exegete's statement of it has been verified.

So the step's rating turns on the authority question, and the page says so (lexical_step_ratings). Under the evidence standard its support stands at wellSupported, because every encoded dissent fails, the strongest among them. Under the tradition standard it is disputed by the renewal reading. Before the renewal reading was encoded, the same computation withheld any rating above disputed under all three standards, because the strongest dissent was missing (lexical_step_before_the_steelman). Encoding it is what licenses the higher rating, and only where it fails.

Works as fruit, not ground

Westminster's step (fruitLine) derives "fruit, not ground" from its proof texts. Its support is wellSupported: the Lutheran World Federation and the Catholic Church confess together that good works "follow justification and are its fruits", and that what follows faith "is neither the basis of justification nor merits it" (Joint Declaration §§37, 25). Two dissents from it are encoded, both from Trent, and both argued.

  • Canon 24, applied to James 2:24: works cause the increase of justification. That claim rests on the council's word alone.
  • Chapter 16, from the reward texts (1 Corinthians 15:58, Hebrews 6:10, Hebrews 10:35, 2 Timothy 4:8). The texts are Scripture, and Westminster grants them (XVI.6). But they say God rewards the works. Chapter 16 adds that the reward is "rendered to their good works and merits", and that "we must believe" the justified "have truly merited eternal life". That bridge from reward to merit is the council's own claim. Dulles, defending Trent's teaching, grants that "the fact that a reward is promised does not make it merited". The Joint Declaration reads "merit" as no more than a reward promised (§38).

So each of Trent's dissents rests at one claim on the council's word, and the step's rating turns on the authority question (fruit_step_ratings). Under the evidence standard neither dissent is credible, and the support stands at wellSupported. Under the tradition standard both are, and the step is disputed.

What this shows is exactly that, and no more. Trent's denial does not stand on Scripture and evidence alone. A reader who receives the council's word has a credible critique; a reader who does not has none. It does not show that the reward texts teach the Reformed reading of them; it shows that they do not teach Trent's without Trent.

The same checks, run the other way

A check applied in one direction only is a weapon, not a measure. So the Reformed dissents from Rome's claims are assessed by the same checks, under the same three standards.

  • Westminster against chapter 16's merit premise (XVI.5, XVI.6). God does not forget the work of believers. That is Hebrews 6:10, which Westminster gives as a proof and which is one of Trent's own four texts. Having done all, believers are unworthy servants who have done only their duty (Luke 17:10). Wages are reckoned as due to one who works, but as a gift to one who believes (Romans 4:4–5). Their sacrifices are acceptable to God through Jesus Christ (1 Peter 2:5). So the reward is of grace, not rendered to merits. Every claim Westminster asserts outright is a text it cites. What is its own is the step, a reading rated disputed (westminster_answers_from_the_texts).
  • The Reformed harmony against canon 24's step, and against chapter 16's. It grants each step's grounds, and argues from Westminster's proof texts that works are the fruit of faith, not its ground.

Each is a critique under both standards, so each of Trent's claims is disputed under both (rome_steps_ratings). Set beside fruit_step_ratings, that is the asymmetry the checks find. The Reformed dissents from Trent are critiques under each of the three standards. Trent's dissents from the Reformed step are critiques only under the standard that admits the council's word. Neither side's step is proved right by this. What differs is what each side's dissent rests on.

Trent's definition, and faith's sufficiency

Trent's definition — justification is not remission of sins only, but the renewal of the inward man (ch. 7) — can be read two ways (whatTrentsDefinitionClaims), and Trent draws from it that faith does not suffice (ch. 7, canon 9). The checks run on each, in both directions.

From the Reformed side, each is a critique under both standards (trent_definition_ratings):

  • Paul's gospel and Romans 4 against the definition, read as what God does;
  • Romans 4, glossing Paul's verb by Paul's own text, against the definition read as Paul's word;
  • Luke 18 against the step to "faith does not suffice".

So each of Trent's three claims is disputed under all three standards.

From Trent's side (trent_dissents_from_the_definition_steps):

  • Its reading of Paul's word dissents from the lexical step's ground, not from the step. "Forensic", in that ground, means a verdict and not making righteous, so what Trent concludes is what the ground denies. The lexical step's support stands at wellSupported under all three standards.
  • Its definition, read as what God does, is asserted, not argued, against Paul's gospel: Trent holds it as a premise.
  • Its denial of sufficiency is a critique of Luke 18's step under the tradition standard only. Its one ground is the definition, which rests on the council's word.

The word question is settled where both sides' readings stand: at their premises. The lexical case holds the forensic sense as a premise cited to the lexicon; Trent holds the renewal sense, cited to itself and VanLandingham. By their meanings each denies the other, so against each other each is a rival reading, not an argument (lexicalOnWordAssessment). That is why the argued dissent on the word is Romans 4's, which reaches its verdict from the text.

Meaning postulates

Some claims the atom type keeps apart are joined by their meanings: "δικαιόω is forensic — a verdict, and not making righteous" denies "Paul's δικαιόω denotes making righteous" in so many words. Every check here holds those joins as background (Meanings.SolaFide.joins), the same for a dissent on either side, and they are exactly the exclusions the meanings contain: the list is proved so. No check here names them; each takes them from the argument's claims. Without them, Trent's reading of the word would pass as granting a ground it denies.

The hearing under each standard

Which dissents are critiques decides who is heard, and how each step is weighed. The hearing under a standard (Testimony.Logic.Register) is the James dispute (jamesDispute) among every party that is not a dissent and every dissent that is credible under the standard, with each rated step weighed at its computed rating under that standard. So the dissents heard and the ratings weighed come from one register, and the hearing's verdict and the step's rating cannot disagree about the standard.

  • What James's δικαιόω denotes turns on the standard (james_word_turns_on_the_standard). Under the evidence standard the hearing forces James's word, as the full dispute does: the renewal reading is not heard. Under the tradition standard it is heard, the lexical step is weighed at disputed, and the question is contested — James's word and the renewal reading each survive, and neither is forced.
  • Whether works are fruit and not ground turns on the standard too (fruit_turns_on_the_standard). Under the evidence standard the hearing forces the Reformed harmony and Westminster's answer on the reward. Neither of Trent's dissents is heard. Under the tradition standard both are heard. The harmony and chapter 16's reading each survive, and so do Westminster's answer and chapter 16, which defeat each other; none of them is forced.

In both, the register's rating and the hearing's verdict agree. A step rated disputed under a standard is contested in the hearing under it, and a step whose support stands is forced.

The full dispute still weighs every step at its cited rating. For the lexical step that is wellSupported, its computed rating under the evidence standard; under the tradition standard the hearing, not the full dispute, is the coherent result. Making every dispute weigh computed ratings is phase two of the design (docs/src/computed-ratings.md).

What this does not show

A credible dissent does not show the step wrong, and an answered one does not show it right. Credibility says the dispute is a dispute between arguments; which prevails is what the hearing computes, from the ratings each side rests on.

The dissents, assessed

canon24Assessment

Canon 24, against "fruit, not ground": argued, and granting Westminster's proof texts. It asserts that good works are a cause of the increase of justification on the council's word alone, so it is a critique under the tradition standard and not under the evidence standard.

Dissent: Trent, canon 24, against Works as fruit (Westminster XVI.2, XVI.5, and its proofs). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✘ noGood works are a cause of the increase of justification, not merely its fruits
tradition✔ yes—
Scripture✘ noGood works are a cause of the increase of justification, not merely its fruits

rewardAssessment

Chapter 16, against "fruit, not ground": argued, and granting Westminster's proof texts. Its grounds are the reward texts, which are Scripture and which Westminster grants, and the claim that the reward is rendered to the works as merits — which the texts do not say, and Trent asserts on its own word ("we must believe"). So it is a critique under the tradition standard, and not under the evidence standard.

Dissent: Trent, Session VI, ch. 16, against Works as fruit (Westminster XVI.2, XVI.5, and its proofs). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✘ noThe reward God renders to the works of the justified is rendered to them as merits
tradition✔ yes—
Scripture✘ noThe reward God renders to the works of the justified is rendered to them as merits

trentWordAssessment

Trent's reading of James's word, against the lexical step: it holds that James's δικαιόω denotes the increase of justice as a premise, and that premise alone contradicts the step's conclusion. A disagreement, not a critique, under any standard.

Dissent: Trent, Session VI, ch. 10, against James's word (δικαιόω, by the rule of least meaning). ✘ A disagreement, not a critique: what it asserts outright already contradicts the step's conclusion, so no step of its own argues it.

StandardA credible critique?Rests on what the standard does not accept
evidence✘ noJames's δικαιόω denotes the increase of the justice received
tradition✘ no—
Scripture✘ noJames's δικαιόω denotes the increase of the justice received

renewalAssessment

The renewal reading, against the lexical step: argued from Paul's word as renewal and James's word as Paul's, granting the lexical case's grounds. It is a critique under the tradition standard; under the evidence standard one of its grounds, that James's word is Paul's, rests on Trent's word alone.

Dissent: The renewal reading, against James's word (δικαιόω, by the rule of least meaning). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✘ noJames's δικαιόω has the sense Paul's has: the justification of Romans and Galatians
tradition✔ yes—
Scripture✘ noJames's δικαιόω has the sense Paul's has: the justification of Romans and Galatians

trent_on_the_word_is_asserted

Trent's reading of James's word is a disagreement, not a critique. What it asserts outright includes the increase of justice, which alone contradicts the lexical step's conclusion: no step of its own is needed to reach its denial.

theorem trent_on_the_word_is_asserted : trentWordAssessment.findings.kind =
    Findings.Kind.asserted ∧ ∀ (s : Standard), ¬Dissent.Credible s
    trentWordAssessment.dissent
-- axioms: propext, Classical.choice, Quot.sound

The steps, rated

fruitStep

"Works are fruit, not ground", rated by its register: canon 24's dissent and chapter 16's. Chapter 16's is the strongest known: it argues from texts both sides grant.

The rating, computed. Works as fruit (Westminster XVI.2, XVI.5, and its proofs) is cited at well supported (westminster-confession-1647, §XVI.2, XVI.5; lwf-catholic-joint-declaration-2000, §§§25, 37). Dissents encoded: Trent, canon 24, Trent, Session VI, ch. 16. The strongest known: Trent, Session VI, ch. 16.

StandardRatingWhy
evidencewell supportedevery encoded dissent fails a check, the strongest known among them, so the step's support stands
traditiondisputeda credible critique: Trent, canon 24; Trent, Session VI, ch. 16
Scripturewell supportedevery encoded dissent fails a check, the strongest known among them, so the step's support stands

fruit_step_ratings

"Fruit, not ground" turns on the authority question. Under the evidence standard its support stands at wellSupported: both of Trent's dissents are argued, and each rests at one claim on the council's word alone. Canon 24's claim is that works cause the increase of justification. Chapter 16's is that the reward the texts promise is rendered to the works as merits. Under the tradition standard, which admits the council's word, both are credible critiques, and the step is disputed.

theorem fruit_step_ratings : fruitStep.ratings = [(Standard.evidence,
    Computed.stands Confidence.wellSupported), (Standard.tradition,
    Computed.disputedBy ["Trent, canon 24", "Trent, Session VI, ch. 16"]),
    (Standard.scriptural, Computed.stands Confidence.wellSupported)]
-- axioms: propext

lexicalStep

James's word, rated by its register: Trent's reading of the word, and the renewal reading — the strongest known dissent, which argues the increase from Paul's word instead of asserting it.

The rating, computed. James's word (δικαιόω, by the rule of least meaning) is cited at well supported (moo-james-2000, ad loc. Jas 2:21; silva-biblical-words-1994; barr-semantics-2004). Dissents encoded: Trent, Session VI, ch. 10, The renewal reading. The strongest known: The renewal reading.

StandardRatingWhy
evidencewell supportedevery encoded dissent fails a check, the strongest known among them, so the step's support stands
traditiondisputeda credible critique: The renewal reading
Scripturewell supportedevery encoded dissent fails a check, the strongest known among them, so the step's support stands

lexical_step_ratings

The lexical step's rating turns on the authority question. Under the evidence standard its support stands at wellSupported: every encoded dissent fails a check, the strongest known among them, because the renewal reading's claim that James's word is Paul's rests on Trent alone. Under the tradition standard, which admits Trent's word, the renewal reading is a credible critique and the step is disputed.

theorem lexical_step_ratings : lexicalStep.ratings = [(Standard.evidence,
    Computed.stands Confidence.wellSupported), (Standard.tradition,
    Computed.disputedBy ["The renewal reading"]), (Standard.scriptural,
    Computed.stands Confidence.wellSupported)]
-- axioms: propext

lexical_step_before_the_steelman

Before the steelman was encoded, no rating above disputed was licensed. With only Trent's reading of the word in the register, no dissent is credible, but the strongest known one is missing, so the rating is withheld under both standards. Encoding the renewal reading is what moves it: to wellSupported under the evidence standard, and to disputed under the tradition standard.

theorem lexical_step_before_the_steelman : (have __src := lexicalStep;
 { step
    := __src.step, support := __src.support, register := [trentWordAssessment]
    }).ratings =
 [(Standard.evidence, Computed.withheld),
    (Standard.tradition, Computed.withheld), (Standard.scriptural,
    Computed.withheld)]
-- axioms: propext

Rome's steps, rated by the same checks

westminsterAssessment

Westminster, against Trent's premise that the reward is rendered to merits (XVI.5, XVI.6): argued from texts Westminster gives as proofs — Hebrews 6:10, one of Trent's own four; Luke 17:10; Romans 4:4–5; 1 Peter 2:5 — by a step of its own, its reading of them. Every claim it asserts outright is a text. So it is a critique under all three standards.

Dissent: Westminster XVI.5, XVI.6, against Trent: the reward is rendered to merits (ch. 16, canon 32). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✔ yes—
tradition✔ yes—
Scripture✔ yes—

harmonyOnCanon24Assessment

The Reformed harmony, against canon 24's step: it grants James 2:24, the works by which Abraham and Rahab were justified, and canon 24's own claim that works cause the increase, and argues from Westminster's proof texts that works are the fruit of faith and not its ground. What it asserts outright rests on Scripture and on readings argued from it; so it is a critique under both standards.

Dissent: The Reformed harmony (Westminster XVI.2, XVI.5), against James 2:24, read by canon 24. ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✔ yes—
tradition✔ yes—
Scripture✔ yes—

harmonyOnRewardAssessment

The Reformed harmony, against chapter 16's step: it grants the reward texts, and grants for the step's sake even that the reward is rendered to merits, and argues that works are the fruit of faith, not its ground. A critique under all three standards. Westminster's own answer goes further, and denies the second ground (westminsterAssessment).

Dissent: The Reformed harmony (Westminster XVI.2, XVI.5), against The reward of works (Trent, Session VI, ch. 16). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✔ yes—
tradition✔ yes—
Scripture✔ yes—

meritPremise

Trent's premise that the reward is rendered to merits, rated by its register: Westminster's dissent, the strongest known.

The rating, computed. Trent: the reward is rendered to merits (ch. 16, canon 32) is cited at disputed (tanner-decrees-1990, §Trent, Session VI (1547), ch. 16; canon 32; dulles-two-languages-1999). Dissents encoded: Westminster XVI.5, XVI.6. The strongest known: Westminster XVI.5, XVI.6.

StandardRatingWhy
evidencedisputeda credible critique: Westminster XVI.5, XVI.6
traditiondisputeda credible critique: Westminster XVI.5, XVI.6
Scripturedisputeda credible critique: Westminster XVI.5, XVI.6

canon24Step

Canon 24's step, rated by its register: the Reformed harmony's dissent.

The rating, computed. James 2:24, read by canon 24 is cited at disputed (tanner-decrees-1990, §Trent, Session VI (1547), canon 24). Dissents encoded: The Reformed harmony (Westminster XVI.2, XVI.5). The strongest known: The Reformed harmony (Westminster XVI.2, XVI.5).

StandardRatingWhy
evidencedisputeda credible critique: The Reformed harmony (Westminster XVI.2, XVI.5)
traditiondisputeda credible critique: The Reformed harmony (Westminster XVI.2, XVI.5)
Scripturedisputeda credible critique: The Reformed harmony (Westminster XVI.2, XVI.5)

rewardStep

Chapter 16's step, rated by its register: the Reformed harmony's dissent.

The rating, computed. The reward of works (Trent, Session VI, ch. 16) is cited at disputed (tanner-decrees-1990, §Trent, Session VI (1547), ch. 16, canon 32; westminster-confession-1647, §XVI.5, XVI.6). Dissents encoded: The Reformed harmony (Westminster XVI.2, XVI.5). The strongest known: The Reformed harmony (Westminster XVI.2, XVI.5).

StandardRatingWhy
evidencedisputeda credible critique: The Reformed harmony (Westminster XVI.2, XVI.5)
traditiondisputeda credible critique: The Reformed harmony (Westminster XVI.2, XVI.5)
Scripturedisputeda credible critique: The Reformed harmony (Westminster XVI.2, XVI.5)

rome_steps_ratings

The same checks, run the other way: Rome's steps are disputed under both standards. Westminster's answer to Trent's merit premise, and the Reformed harmony's answers to canon 24's and chapter 16's steps, each argue from texts and rest on no one's word alone. So each is a credible critique under the evidence standard as under the tradition standard, and each of Trent's claims is disputed under both.

Set beside fruit_step_ratings, this is the asymmetry the checks find. The Reformed dissents from Trent's claims are critiques under each of the three standards. Trent's dissents from the Reformed step are critiques only under the standard that admits the council's word.

theorem rome_steps_ratings : meritPremise.ratings = [(Standard.evidence,
    Computed.disputedBy ["Westminster XVI.5, XVI.6"]), (Standard.tradition,
    Computed.disputedBy ["Westminster XVI.5, XVI.6"]), (Standard.scriptural,
    Computed.disputedBy ["Westminster XVI.5, XVI.6"])] ∧ canon24Step.ratings =
    [(Standard.evidence, Computed.disputedBy ["The Reformed harmony
    (Westminster XVI.2, XVI.5)"]), (Standard.tradition, Computed.disputedBy
    ["The Reformed harmony (Westminster XVI.2, XVI.5)"]),
    (Standard.scriptural, Computed.disputedBy ["The Reformed harmony
    (Westminster XVI.2, XVI.5)"])] ∧ rewardStep.ratings = [(Standard.evidence,
    Computed.disputedBy ["The Reformed harmony (Westminster XVI.2, XVI.5)"]),
    (Standard.tradition, Computed.disputedBy ["The Reformed harmony
    (Westminster XVI.2, XVI.5)"]), (Standard.scriptural, Computed.disputedBy
    ["The Reformed harmony (Westminster XVI.2, XVI.5)"])]
-- axioms: propext

westminster_answers_from_the_texts

Westminster's answer rests on no one's word alone; Trent's claim does. Every claim Westminster's reading of the reward asserts outright is a text it gives as a proof. The one claim chapter 16 adds to its texts, that the reward is rendered to merits, is the council's own.

theorem westminster_answers_from_the_texts :
    westminsterOnReward.restingOnAuthority = [] ∧
    trentOnReward.restingOnAuthority = [Claim.rewardRenderedToMerits]
-- axioms: propext

Trent's definition, and faith's sufficiency

trentSufficiencySource

Trent's step from its definition to the denial that faith suffices: if justification is the renewal of the inward man by infused charity, then faith, "unless hope and charity be added thereto, neither unites man perfectly with Christ" (Session VI, ch. 7), and whoever says that "nothing else is required to co-operate" is anathema (canon 9). Rated disputed: Luke 18 and Luke 7:50 are read by the Reformed as a plea that sufficed (luke18Line).

def trentSufficiencySource : Source :=
  {
    primary :=
      Reference.work tannerDecrees
        (Bib.Locus.sectionRef
          "Trent, Session VI (1547), Decree on Justification, ch. 7; canon 9"),
    tradition := Tradition.romanCatholic, confidence := Confidence.disputed }

trentSufficiencyLine — Faith does not suffice (Trent, ch. 7, canon 9)

Faith does not suffice, from Trent's definition (ch. 7, canon 9): the definition, and the step from it. Trent's denial of sufficiency, stated as the library states it — a consequence of what Trent says justification is (trentDefinitionSteps).

\[ \begin{aligned} \text{(1)} \quad & P_{33} \\ \text{(2)} \quad & P_{33} \rightarrow \lnot P_{26} \\[4pt] \vdash \quad & \lnot P_{26} \end{aligned} \]

trentOnSufficiency — Faith does not suffice (Trent, ch. 7, canon 9)

Trent on faith's sufficiency, as a position of its own.

\[ \begin{aligned} \text{(1)} \quad & P_{33} \\ \text{(2)} \quad & P_{33} \rightarrow \lnot P_{26} \\[4pt] \vdash \quad & \lnot P_{26} \end{aligned} \]

No premise here rests on scripture alone.

trentWordLine — Paul's word, as the Latin West read it (Augustine; Trent, ch. 8)

Paul's word, as the Latin West read it: Augustine glossed "being justified" as "being made righteous", and Trent reads the Apostle so (ch. 8); so Paul's δικαιόω denotes the renewal of the inward man. The reading of Trent's definition as a claim about the word (trentOnPaulsWord), as a line.

\[ \begin{aligned} \text{(1)} \quad & P_{52} \\ \text{(2)} \quad & P_{52} \rightarrow P_{50} \\[4pt] \vdash \quad & P_{50} \end{aligned} \]

trentOnTheWordOfPaul — Paul's word, as the Latin West read it (Augustine; Trent, ch. 8)

Trent's reading of Paul's word, as a position of its own.

\[ \begin{aligned} \text{(1)} \quad & P_{52} \\ \text{(2)} \quad & P_{52} \rightarrow P_{50} \\[4pt] \vdash \quad & P_{50} \end{aligned} \]

No premise here rests on scripture alone.

gospelOnDefinitionAssessment

Paul's gospel, against Trent's definition read as what God does: from Galatians 1:6–9, 2:21 and 5:2–4, 1 Corinthians 15:3, Romans 8:33–34 and the forensic sense of the verb. Every claim it asserts outright is a text or a reading argued from the lexicon; a critique under all three standards.

Dissent: Paul's gospel (Galatians 1; Westminster XI.1), against Trent: justification is the renewal of the inward man (ch. 7). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✔ yes—
tradition✔ yes—
Scripture✔ yes—

romansFourOnDefinitionAssessment

Romans 4, against Trent's definition: the righteousness God counts to the ungodly is sin not counted (4:5–8), and the verb is forensic. A critique under both standards.

Dissent: Romans 4:3–8, against Trent: justification is the renewal of the inward man (ch. 7). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✔ yes—
tradition✔ yes—
Scripture✔ yes—

romansFourOnWordAssessment

Romans 4, on Paul's word, against Trent's definition read as the word: Paul glosses the righteousness God counts to the ungodly as sin not counted (4:5–8), and by the rule of least meaning his verb denotes no more than that verdict. It argues from Paul's own text, without assuming the forensic sense, so it is a critique under all three standards — the strongest known against this reading.

Dissent: Romans 4:3–8, on Paul's word, against Trent: Paul's δικαιόω denotes renewal (ch. 8, with Augustine). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✔ yes—
tradition✔ yes—
Scripture✔ yes—

lexicalOnWordAssessment

The lexical case, against Trent's definition read as the word: it holds as a premise that Paul's δικαιόω is forensic — a verdict, and not making righteous — and that premise, by its meaning, already denies Trent's reading (Meanings.SolaFide.joins). So against this reading it is a rival reading held as a premise, not an argument: by the checks, a disagreement. What it rests on is the lexicon, and its standing is that premise's own rating, where the library weighs the word; Trent's reading stands in the same place against it (trentWordOnLexicalAssessment).

Dissent: Paul's word (by the rule of least meaning), against Trent: Paul's δικαιόω denotes renewal (ch. 8, with Augustine). ✘ A disagreement, not a critique: what it asserts outright already contradicts the step's conclusion, so no step of its own argues it.

StandardA credible critique?Rests on what the standard does not accept
evidence✘ no—
tradition✘ no—
Scripture✘ no—

luke18OnSufficiencyAssessment

Luke 18, against Trent's step to "faith does not suffice": the tax collector's plea, without works, and God's verdict. It can be held with Trent's definition, the step's ground, and argues that the plea sufficed. A critique under all three standards.

Dissent: Luke 18:9–14 (the tax collector justified), against Faith does not suffice (Trent, ch. 7, canon 9). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✔ yes—
tradition✔ yes—
Scripture✔ yes—

definitionPremise

Trent's definition, rated by its register: Paul's gospel and Romans 4.

The rating, computed. Trent: justification is the renewal of the inward man (ch. 7) is cited at disputed (tanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 7; tanner-decrees-1990, §Trent, Session VI (1547), canon 11). Dissents encoded: Paul's gospel (Galatians 1; Westminster XI.1), Romans 4:3–8. The strongest known: Paul's gospel (Galatians 1; Westminster XI.1).

StandardRatingWhy
evidencedisputeda credible critique: Paul's gospel (Galatians 1; Westminster XI.1); Romans 4:3–8
traditiondisputeda credible critique: Paul's gospel (Galatians 1; Westminster XI.1); Romans 4:3–8
Scripturedisputeda credible critique: Paul's gospel (Galatians 1; Westminster XI.1); Romans 4:3–8

wordPremise

Trent's reading of Paul's word, rated by its register: Romans 4 on the word, the strongest known, and the lexical case.

The rating, computed. Trent: Paul's δικαιόω denotes renewal (ch. 8, with Augustine) is cited at disputed (tanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, chs. 7–8; vanlandingham-judgment-justification-2006). Dissents encoded: Romans 4:3–8, on Paul's word, Paul's word (by the rule of least meaning). The strongest known: Romans 4:3–8, on Paul's word.

StandardRatingWhy
evidencedisputeda credible critique: Romans 4:3–8, on Paul's word
traditiondisputeda credible critique: Romans 4:3–8, on Paul's word
Scripturedisputeda credible critique: Romans 4:3–8, on Paul's word

sufficiencyStep

Trent's step to "faith does not suffice", rated by its register: Luke 18.

The rating, computed. Faith does not suffice (Trent, ch. 7, canon 9) is cited at disputed (tanner-decrees-1990, §Trent, Session VI (1547), Decree on Justification, ch. 7; canon 9). Dissents encoded: Luke 18:9–14 (the tax collector justified). The strongest known: Luke 18:9–14 (the tax collector justified).

StandardRatingWhy
evidencedisputeda credible critique: Luke 18:9–14 (the tax collector justified)
traditiondisputeda credible critique: Luke 18:9–14 (the tax collector justified)
Scripturedisputeda credible critique: Luke 18:9–14 (the tax collector justified)

trent_definition_ratings

Trent's definition, and what follows from it, are disputed under both standards. Read as what God does, the definition meets Paul's gospel and Romans 4. Read as Paul's word, it meets Romans 4's gloss of the verb. Its step to "faith does not suffice" meets Luke 18. Each is argued from texts and from evidence anyone can check, so each is a critique under each of the three standards.

theorem trent_definition_ratings : definitionPremise.ratings =
    [(Standard.evidence, Computed.disputedBy ["Paul's gospel (Galatians 1;
    Westminster XI.1)", "Romans 4:3–8"]), (Standard.tradition,
    Computed.disputedBy ["Paul's gospel (Galatians 1; Westminster XI.1)",
    "Romans 4:3–8"]), (Standard.scriptural, Computed.disputedBy ["Paul's
    gospel (Galatians 1; Westminster XI.1)", "Romans 4:3–8"])] ∧
    wordPremise.ratings = [(Standard.evidence, Computed.disputedBy ["Romans
    4:3–8, on Paul's word"]), (Standard.tradition, Computed.disputedBy
    ["Romans 4:3–8, on Paul's word"]), (Standard.scriptural,
    Computed.disputedBy ["Romans 4:3–8, on Paul's word"])] ∧
    sufficiencyStep.ratings = [(Standard.evidence, Computed.disputedBy ["Luke
    18:9–14 (the tax collector justified)"]), (Standard.tradition,
    Computed.disputedBy ["Luke 18:9–14 (the tax collector justified)"]),
    (Standard.scriptural, Computed.disputedBy ["Luke 18:9–14 (the tax
    collector justified)"])]
-- axioms: propext

trentWordOnLexicalAssessment

Trent's word, against the lexical step: the Latin West's reading of Paul's verb. It argues its conclusion from Augustine's gloss — but what it concludes, that Paul's δικαιόω denotes making righteous, is what the step's first ground denies: "forensic", in that ground, means a verdict and not making righteous (Meanings.SolaFide.joins). So it is a dissent from that ground, not from the step, and belongs to the ground's rating, under either standard.

Dissent: Trent, with Augustine (ch. 8), against Paul's word (δικαιόω, by the rule of least meaning). ✘ A dissent from the step's grounds, not from the step: it denies one of them.

StandardA credible critique?Rests on what the standard does not accept
evidence✘ no—
tradition✘ no—
Scripture✘ no—

trentGraceOnGospelAssessment

Trent's definition read as what God does, against Paul's gospel step: it holds the definition as a premise, and that premise alone contradicts the step's conclusion. A disagreement, not a critique, under each of the three standards.

Dissent: Trent, read as what God does (ch. 7; Joint Declaration §22), against Paul's gospel: a verdict on a finished work is no renewal. ✘ A disagreement, not a critique: what it asserts outright already contradicts the step's conclusion, so no step of its own argues it.

StandardA credible critique?Rests on what the standard does not accept
evidence✘ noJustification is not remission of sins only, but renewal of the inward man; The inward renewal of the justified grows as they do good works in grace
tradition✘ no—
Scripture✘ noJustification is not remission of sins only, but renewal of the inward man; The inward renewal of the justified grows as they do good works in grace

trentSufficiencyOnLuke18Assessment

Trent's denial of sufficiency, against Luke 18's step: argued, from its definition, and granting the parable. Its one ground is the definition, which rests on the council's word; so it is a critique under the tradition standard only.

Dissent: Trent, ch. 7 and canon 9, against Luke 18:9–14 (the tax collector justified). ✔ A critique: it can be held with the step's grounds, and it argues its denial by a step of its own.

StandardA credible critique?Rests on what the standard does not accept
evidence✘ noJustification is not remission of sins only, but renewal of the inward man
tradition✔ yes—
Scripture✘ noJustification is not remission of sins only, but renewal of the inward man

lexicalWordStep

Paul's word, rated by its register: Trent's reading of the word, the strongest known dissent.

The rating, computed. Paul's word (δικαιόω, by the rule of least meaning) is cited at well supported (silva-biblical-words-1994; moo-romans-1996, §p. 80; barr-semantics-2004). Dissents encoded: Trent, with Augustine (ch. 8). The strongest known: Trent, with Augustine (ch. 8).

StandardRatingWhy
evidencewell supportedevery encoded dissent fails a check, the strongest known among them, so the step's support stands
traditionwell supportedevery encoded dissent fails a check, the strongest known among them, so the step's support stands
Scripturewell supportedevery encoded dissent fails a check, the strongest known among them, so the step's support stands

trent_dissents_from_the_definition_steps

The same checks, from Trent's side. Of Trent's three dissents from the Reformed steps over its definition:

  • its reading of Paul's word dissents from the lexical step's ground, not from the step;
  • its definition read as what God does is asserted, not argued, against Paul's gospel;
  • its denial of sufficiency is a critique of Luke 18's step under the tradition standard only, because its one ground is the definition.

So the lexical step's support stands at wellSupported under all three standards: its strongest known dissent is encoded, and fails.

theorem trent_dissents_from_the_definition_steps :
    trentWordOnLexicalAssessment.findings.kind = Findings.Kind.deniesGrounds ∧
    trentGraceOnGospelAssessment.findings.kind = Findings.Kind.asserted ∧
    trentSufficiencyOnLuke18Assessment.profile = [(Standard.evidence, false),
    (Standard.tradition, true), (Standard.scriptural, false)] ∧
    lexicalWordStep.ratings = [(Standard.evidence, Computed.stands
    Confidence.wellSupported), (Standard.tradition, Computed.stands
    Confidence.wellSupported), (Standard.scriptural, Computed.stands
    Confidence.wellSupported)]
-- axioms: propext

The hearing under each standard

jamesRegister

The James dispute's register: each party entered as a dissent from a step of the Reformed reading, assessed, and the two steps they are rated against. The other parties hold those steps, or are readings of texts answered by the texts themselves.

def jamesRegister : Register jamesDispute :=
  {
    assessmentOf := fun x =>
      match x with
      | JamesParty.trentOnTheWord => some trentWordAssessment
      | JamesParty.trentOnWorks => some canon24Assessment
      | JamesParty.trentOnReward => some rewardAssessment
      | JamesParty.renewalOnTheWord => some renewalAssessment
      | JamesParty.westminsterOnReward =>
        some westminsterAssessment
      | x => none,
    ownPosition := jamesRegister._proof_1,
    steps :=
      [fruitStep, lexicalStep, canon24Step,
        rewardStep] }

ratedStrength

Each party's weakest link, weighed at a standard's ratings: as cited, except that under the tradition standard James's word is weighed as disputed, its computed rating there.

def ratedStrength : Standard → JamesParty → ℕ :=
  fun x x_1 =>
    match x, x_1 with
    | Standard.tradition, JamesParty.lexical => 0
    | x, i => jamesPartyStrength i

rerated_strength

Each party's weakest link, as the re-rated package computes it.

theorem rerated_strength : ∀ (s : Standard) (i : JamesParty),
    ((jamesRegister.rerated s).node i).strength = ratedStrength s i
-- axioms: propext, Classical.choice, Quot.sound

ratedDefeats

Who defeats whom at a standard's ratings: under the evidence standard, as in the full dispute; under the tradition standard, also Trent's reading of the word and the renewal reading each defeat James's word, now that it is weighed as disputed.

def ratedDefeats : Standard → JamesParty → JamesParty → Prop :=
  fun x x_1 x_2 =>
    match x, x_1, x_2 with
    | Standard.tradition, JamesParty.trentOnTheWord,
      JamesParty.lexical => True
    | Standard.tradition, JamesParty.renewalOnTheWord,
      JamesParty.lexical => True
    | x, i, j => jamesPartyDefeats i j

instDecidableRelJamesPartyRatedDefeats

The table is finite, so membership in it is decidable.

def instDecidableRelJamesPartyRatedDefeats : (s : Standard) → DecidableRel
    (ratedDefeats s)

rerated_defeats

Who defeats whom at each standard's ratings.

theorem rerated_defeats : ∀ (s : Standard) (i j : JamesParty),
    (jamesRegister.rerated s).defeats i j ↔ ratedDefeats s i j
-- axioms: propext, Classical.choice, Quot.sound

ratedFinite

The dispute at a standard's ratings, in the form the verdict solver computes with.

def ratedFinite : (s : Standard) → Solver.Finite (jamesRegister.rerated
    s).defeats :=
  fun s =>
    { parties := jamesFinite.parties,
      complete := ratedFinite._proof_1,
      defeats := fun i j => decide (ratedDefeats s i j), spec := ⋯ }

jamesUnderEvidence

The hearing under the evidence standard.

def jamesUnderEvidence : Dispute Claim { i // jamesRegister.admits
    Standard.evidence i } :=
  jamesRegister.hearing Standard.evidence

jamesUnderTradition

The hearing under the tradition standard.

def jamesUnderTradition : Dispute Claim { i // jamesRegister.admits
    Standard.tradition i } :=
  jamesRegister.hearing Standard.tradition

jamesUnderFinite

The hearing under a standard, in the form the verdict solver computes with.

def jamesUnderFinite : (s : Standard) → Solver.Finite fun i j =>
    (jamesRegister.rerated s).defeats ↑i ↑j :=
  fun s => (ratedFinite s).restrict (jamesRegister.admits s)

jamesUnderEvidence_defeats

Who defeats whom in the hearing under the evidence standard: as in the full dispute, among the parties heard.

theorem jamesUnderEvidence_defeats : ∀ (i j : { i // jamesRegister.admits
    Standard.evidence i }), jamesUnderEvidence.defeats i j ↔ ratedDefeats
    Standard.evidence ↑i ↑j
-- axioms: propext, Classical.choice, Quot.sound

jamesUnderTradition_defeats

Who defeats whom in the hearing under the tradition standard: James's word, weighed as disputed, and the renewal reading defeat each other.

theorem jamesUnderTradition_defeats : ∀ (i j : { i // jamesRegister.admits
    Standard.tradition i }), jamesUnderTradition.defeats i j ↔ ratedDefeats
    Standard.tradition ↑i ↑j
-- axioms: propext, Classical.choice, Quot.sound

underEvidenceSettled

How the hearing under the evidence standard is settled: James's word, James's faith, the Reformed harmony and the Greek of both verses come first, and nothing heard answers them; Trent's Latin readings fall to the Greek. Every dissent of Trent's from a rated step — canon 24, chapter 16, the renewal reading, and Trent's reading of the word — rests at some claim on the council's word, or asserts its denial, and is not heard.

What the dispute forces is exactly James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Harmonisation of James 2:24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek, The reward of works, of grace (Westminster XVI.5, XVI.6).

  • Stage 1: James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Harmonisation of James 2:24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek, The reward of works, of grace (Westminster XVI.5, XVI.6).
    • James's word (δικαιόω, by the rule of least meaning) is defeated by nothing.
    • James's faith (the faith James calls dead) is defeated by nothing.
    • Harmonisation of James 2:24 is defeated by nothing.
    • Revelation 22:11, in the Greek is defeated by nothing.
    • Sirach 18:22, in the Greek is defeated by nothing.
    • The reward of works, of grace (Westminster XVI.5, XVI.6) is defeated by nothing.
  • Nothing else is forced:
    • Revelation 22:11, in the Greek defeats Revelation 22:11, as Trent quotes it, and nothing forced defeats Revelation 22:11, in the Greek.
    • Sirach 18:22, in the Greek defeats Sirach 18:22, as Trent quotes it, and nothing forced defeats Sirach 18:22, in the Greek.

What this rests on. The reasons state 2 defeats and 48 absences of defeat, each a cell of the defeat table, jamesUnderEvidence_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

underTraditionSettled

How the hearing under the tradition standard is settled: James's faith and the Greek of both verses come first. James's word and the renewal reading defeat each other; so do the Reformed harmony and each of Trent's readings of what works do. Only Trent's reading of the word is not heard.

What the dispute forces is exactly James's faith (the faith James calls dead), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek.

  • Stage 1: James's faith (the faith James calls dead), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek.
    • James's faith (the faith James calls dead) is defeated by nothing.
    • Revelation 22:11, in the Greek is defeated by nothing.
    • Sirach 18:22, in the Greek is defeated by nothing.
  • Nothing else is forced:
    • James's word, read through Paul's (the renewal reading) defeats James's word (δικαιόω, by the rule of least meaning), and nothing forced defeats James's word, read through Paul's (the renewal reading).
    • James 2:24, read by canon 24 defeats Harmonisation of James 2:24, and nothing forced defeats James 2:24, read by canon 24.
    • Harmonisation of James 2:24 defeats James 2:24, read by canon 24, and nothing forced defeats Harmonisation of James 2:24.
    • Revelation 22:11, in the Greek defeats Revelation 22:11, as Trent quotes it, and nothing forced defeats Revelation 22:11, in the Greek.
    • Sirach 18:22, in the Greek defeats Sirach 18:22, as Trent quotes it, and nothing forced defeats Sirach 18:22, in the Greek.
    • Harmonisation of James 2:24 defeats The reward of works (Trent, Session VI, ch. 16), and nothing forced defeats Harmonisation of James 2:24.
    • James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading), and nothing forced defeats James's word (δικαιόω, by the rule of least meaning).
    • The reward of works (Trent, Session VI, ch. 16) defeats The reward of works, of grace (Westminster XVI.5, XVI.6), and nothing forced defeats The reward of works (Trent, Session VI, ch. 16).

What this rests on. The reasons state 8 defeats and 48 absences of defeat, each a cell of the defeat table, jamesUnderTradition_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

renewal_holds_increase

The renewal reading holds that James's δικαιόω denotes the increase of justice.

theorem renewal_holds_increase : Entails (jamesDispute.node
    JamesParty.renewalOnTheWord).premises (p
    Claim.jamesJustifyDenotesIncrease)
-- axioms: propext, Classical.choice, Quot.sound

lexical_denies_increase

James's word denies it.

theorem lexical_denies_increase : Entails (jamesDispute.node
    JamesParty.lexical).premises (∼p Claim.jamesJustifyDenotesIncrease)
-- axioms: propext, Classical.choice, Quot.sound

renewalHeard

Why the renewal reading can be defended in the hearing under the tradition standard: it answers James's word itself, now that the two are rated alike.

James's word, read through Paul's (the renewal reading) is accepted on some resolution.

  • A position holding James's faith (the faith James calls dead), James's word, read through Paul's (the renewal reading), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek can be held.
  • None of James's faith (the faith James calls dead), James's word, read through Paul's (the renewal reading), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek defeats another, and each attack on them is answered from among them:
    • James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading), and James's word, read through Paul's (the renewal reading) defeats James's word (δικαιόω, by the rule of least meaning).
    • Harmonisation of James 2:24 defeats James's word, read through Paul's (the renewal reading), and James's word, read through Paul's (the renewal reading) defeats Harmonisation of James 2:24.

What this rests on. The reasons state 4 defeats and 42 absences of defeat, each a cell of the defeat table, jamesUnderTradition_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

lexicalHeard

Why James's word can be defended there: it answers the renewal reading itself.

James's word (δικαιόω, by the rule of least meaning) is accepted on some resolution.

  • A position holding James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek can be held.
  • None of James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek defeats another, and each attack on them is answered from among them:
    • James's word, read through Paul's (the renewal reading) defeats James's word (δικαιόω, by the rule of least meaning), and James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading).

What this rests on. The reasons state 2 defeats and 43 absences of defeat, each a cell of the defeat table, jamesUnderTradition_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

james_word_turns_on_the_standard

What James's δικαιόω denotes turns on the standard, and the hearing and the rating agree. Under the evidence standard the hearing forces James's word, with James's faith and the Greek of both verses: the renewal reading is not heard, because it rests on Trent's word that James's δικαιόω is Paul's. Under the tradition standard the renewal reading is heard, the lexical step is weighed at its computed rating there, disputed, and whether James's word denotes the increase of justice is contested: each side can be defended, and neither is forced.

theorem james_word_turns_on_the_standard : Framework.grounded
    jamesUnderEvidence.defeats = Solver.toSet (Witness.listSub
    (jamesRegister.admits Standard.evidence) [JamesParty.lexical,
    JamesParty.faith, JamesParty.harmony, JamesParty.revelationText,
    JamesParty.sirachText, JamesParty.westminsterOnReward]) ∧ Nonempty
    (Contested jamesUnderTradition (p Claim.jamesJustifyDenotesIncrease))
-- axioms: propext, Classical.choice, Quot.sound

under_tradition_forces

Under the tradition standard, what is forced is James's faith and the Greek of the two verses, and no more.

theorem under_tradition_forces : Framework.grounded
    jamesUnderTradition.defeats = Solver.toSet (Witness.listSub
    (jamesRegister.admits Standard.tradition) [JamesParty.faith,
    JamesParty.revelationText, JamesParty.sirachText])
-- axioms: propext, Classical.choice, Quot.sound

trentOnReward_denies_fruit

Trent's reading of the reward texts denies that works are fruit and not ground.

theorem trentOnReward_denies_fruit : Entails (jamesDispute.node
    JamesParty.trentOnReward).premises (∼p Claim.worksAreFruitNotGround)
-- axioms: propext, Classical.choice, Quot.sound

harmonyHeard

Why the Reformed harmony can be defended in the hearing under the tradition standard: it answers canon 24 and chapter 16 itself.

Harmonisation of James 2:24 is accepted on some resolution.

  • A position holding James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Harmonisation of James 2:24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek can be held.
  • None of James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), Harmonisation of James 2:24, Revelation 22:11, in the Greek, Sirach 18:22, in the Greek defeats another, and each attack on them is answered from among them:
    • James's word, read through Paul's (the renewal reading) defeats James's word (δικαιόω, by the rule of least meaning), and James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading).
    • James 2:24, read by canon 24 defeats Harmonisation of James 2:24, and Harmonisation of James 2:24 defeats James 2:24, read by canon 24.
    • The reward of works (Trent, Session VI, ch. 16) defeats Harmonisation of James 2:24, and Harmonisation of James 2:24 defeats The reward of works (Trent, Session VI, ch. 16).
    • James's word, read through Paul's (the renewal reading) defeats Harmonisation of James 2:24, and James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading).

What this rests on. The reasons state 7 defeats and 51 absences of defeat, each a cell of the defeat table, jamesUnderTradition_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

rewardHeard

Why chapter 16's reading of the reward texts can be defended there: it answers the Reformed harmony itself.

The reward of works (Trent, Session VI, ch. 16) is accepted on some resolution.

  • A position holding James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), James 2:24, read by canon 24, The reward of works (Trent, Session VI, ch. 16), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek can be held.
  • None of James's word (δικαιόω, by the rule of least meaning), James's faith (the faith James calls dead), James 2:24, read by canon 24, The reward of works (Trent, Session VI, ch. 16), Revelation 22:11, in the Greek, Sirach 18:22, in the Greek defeats another, and each attack on them is answered from among them:
    • James's word, read through Paul's (the renewal reading) defeats James's word (δικαιόω, by the rule of least meaning), and James's word (δικαιόω, by the rule of least meaning) defeats James's word, read through Paul's (the renewal reading).
    • Harmonisation of James 2:24 defeats James 2:24, read by canon 24, and James 2:24, read by canon 24 defeats Harmonisation of James 2:24.
    • Harmonisation of James 2:24 defeats The reward of works (Trent, Session VI, ch. 16), and James 2:24, read by canon 24 defeats Harmonisation of James 2:24.
    • The reward of works, of grace (Westminster XVI.5, XVI.6) defeats The reward of works (Trent, Session VI, ch. 16), and The reward of works (Trent, Session VI, ch. 16) defeats The reward of works, of grace (Westminster XVI.5, XVI.6).

What this rests on. The reasons state 7 defeats and 62 absences of defeat, each a cell of the defeat table, jamesUnderTradition_defeats, computed from the two parties' premises and checked by the kernel. Whether an attack survives turns on the attacker's weakest link and on the rating of what it attacks, so a changed rating can change the verdict. The weakest links:

fruit_turns_on_the_standard

Whether works are fruit and not ground turns on the authority question, and the hearing and the rating agree. Under the evidence standard the hearing forces the Reformed harmony, which derives "fruit, not ground" from Westminster's proof texts. Neither of Trent's dissents is heard: each rests at one claim on the council's word. Under the tradition standard both are heard, the step is weighed at disputed, and the question is contested: the harmony and chapter 16's reading of the reward texts can each be defended, and neither is forced.

theorem fruit_turns_on_the_standard : Framework.grounded
    jamesUnderEvidence.defeats = Solver.toSet (Witness.listSub
    (jamesRegister.admits Standard.evidence) [JamesParty.lexical,
    JamesParty.faith, JamesParty.harmony, JamesParty.revelationText,
    JamesParty.sirachText, JamesParty.westminsterOnReward]) ∧ Nonempty
    (Contested jamesUnderTradition (p Claim.worksAreFruitNotGround))
-- axioms: propext, Classical.choice, Quot.sound