\============================================================ CAPUT ARS BREVIS M — DE QUAESTIONIBUS (DISPUTATIO LAYER) Ars Generalis Applied — Knowledge Base Layer Version: 0.2.0-CAPUT-AB-M-ROSETTA-NORMALIZED Status: STABILIZED / INTERPRETATIVE \+ OPERATIONAL (NORMALIZED) Scope: Ars Brevis — Part 11 (Questions / Disputatio Layer) Authority: ARS BREVIS Mutation Policy: VERSION-CONTROLLED ONLY Class: AEGIS / CAPUT \============================================================ (Latin: De Quaestionibus — Stratum Disputationis) PURPOSE \------------------------------------------------------------ This CAPUT presents Questions / Disputatio as: • L1 — Scholastic exposition • L2 — Operator form • Binding — explicit equivalence layer This artifact functions as: • interpretative key for Part XI • clarification layer for prior parts of the Art • Rosetta bridge for question-routing and resolution It preserves: • distributed question-structure across loci • explicit and delegated modes of resolution • system-wide clarification role • distinction between interrogative rules and questions about the Art • generative rather than merely enumerative procedure \------------------------------------------------------------ CAPUT STATUS CLARIFICATION \------------------------------------------------------------ This CAPUT is a Rosetta artifact. It is not: • a deployment artifact • a runtime contract • an executable question engine Proto-operational language is retained in order to clarify how questions are structurally handled in the Art without reducing the chapter to a strict computational subsystem. Risk is mitigated here by framing, routing discipline, and closure, not by flattening the chapter’s interpretative density. \============================================================ PRINCIPLE \============================================================ L1 — Scholastic Form \------------------------------------------------------------ CAPUT M defines the disputatio-response layer of the Art. It provides: • clarification of all prior parts • resolution pathways for questions • mapping between questions and loci of the Art It is not a chapter about interrogative rules. It is: the system-wide method for answering questions about the Art itself. (Latin: CAPUT M definit stratum disputationis- responsionis Artis; praebet clarificationem omnium partium priorum, vias resolutionis pro quaestionibus, mappingem inter quaestiones et loca Artis. Non est capitulum de regulis interrogativis; est methodus systemica ad respondendum quaestionibus de ipsa Arte.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ CAPUT\_M := question-routing and resolution layer over the preceding parts of the Art \------------------------------------------------------------ Binding \------------------------------------------------------------ “disputatio-response layer” ⇔ clarification and resolution layer “questions about the Art itself” ⇔ system-internal interrogability of prior loci \============================================================ I. STRUCTURE OF QUESTIONS \============================================================ L1 — Scholastic Form \------------------------------------------------------------ Questions are not treated uniformly. They are: • distributed across loci (parts of the Art) • solved by referring to those loci • sometimes explicitly solved • sometimes left for the intellect to resolve Each locus corresponds to: a domain where the answer is signified (Latin: Quaestiones non tractantur uniformiter; sunt distributae per loca, solutae referendo ad illa loca, quandoque explicite solutae, quandoque intellectui resolvendae relictae.) (Latin: Unumquodque locus correspondet dominio ubi responsum significatur.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ Let: Q := question L := locus Then: SOLUTION(Q) := resolve(Q) via L(Q) Where: L ∈ { figures, definitions, rules, table, operations, subjects, forms } \------------------------------------------------------------ Binding \------------------------------------------------------------ “locus signifies the solution” ⇔ solution is indexed by structural component \============================================================ II. THE TWELVE LOCI (GLOBAL INDEX) \============================================================ L1 — Scholastic Form \------------------------------------------------------------ Questions are referred to twelve loci: 1\. First Figure 2\. Second Figure 3\. Third Figure 4\. Fourth Figure 5\. Definitions 6\. Rules 7\. Table 8\. Evacuation of the Third Figure 9\. Multiplication of the Fourth Figure 10\. Mixture 11\. Nine Subjects 12\. Hundred Forms (Latin: Loca duodecim sunt: Figura Prima, Figura Secunda, Figura Tertia, Figura Quarta, Definitiones, Regulae, Tabula, Evacuatio Tertiae Figurae, Multiplicatio Quartae Figurae, Mixtura, Novem Subiecta, Centum Formae.) Each question must be mapped to one or more loci. (Latin: Unaquaeque quaestio debet mappari ad unum vel plura loca.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ LOCUS\_SET := { FIG1, FIG2, FIG3, FIG4, DEF, RULE, TABLE, EVAC3, MULT4, MIX, SUBJECTS, FORMS } ∀ Q: Q must be mapped to one or more LOCUS \------------------------------------------------------------ Binding \------------------------------------------------------------ “apply questions to loci” ⇔ questions are routed through structural domains \============================================================ III. TWO MODES OF RESOLUTION \============================================================ L1 — Scholastic Form \------------------------------------------------------------ Llull distinguishes: 1\. Questions solved explicitly 2\. Questions left to the artist The second type: • must be resolved by \- navigating loci \- applying principles and rules (Latin: Lullius distinguit quaestiones explicite solutas et quaestiones artifici relictas; secundum genus debet resolvi per loca naviganda et applicanda principia et regulas.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ Q := { resolved\_explicitly | resolvable\_by\_system } if Q ∉ explicit\_solutions: solution := derive\_via\_structure(Q) \------------------------------------------------------------ Binding \------------------------------------------------------------ “left to the diligent artist” ⇔ system is generative, not enumerative (Latin: Systema est generativum, non enumerativum.) \============================================================ IV. FUNCTION OF THE CHAPTER \============================================================ L1 — Scholastic Form \------------------------------------------------------------ This chapter demonstrates: • how to ask questions properly • how to locate answers structurally • how to navigate the Art It completes: • presentation (earlier chapters) • application (previous chapter) • now → response / clarification (Latin: Hoc capitulum demonstrat quomodo quaestiones recte interrogare, quomodo responsa structuraliter locare, quomodo Artem navigare.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ CAPUT\_M := meta-layer( query\_formulation, query\_routing, query\_resolution ) \------------------------------------------------------------ Binding \------------------------------------------------------------ “we put some questions and solve them” ⇔ demonstration of resolution procedure \============================================================ V. NON-IDENTITY WITH RULES \============================================================ L1 — Scholastic Form \------------------------------------------------------------ The questions here: • are not the interrogatives of rules B–K • are questions about the system (Latin: Quaestiones hic non sunt interrogativa regularum B–K; sunt quaestiones de ipso systemate.) Rules are operators of questioning; CAPUT M is a set of questions about the system. (Latin: Regulae sunt operatores interrogandi; CAPUT M est copia quaestionum de systemate.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ RULE\_INTERROGATIVES ≠ CAPUT\_M\_QUESTIONS RULES → operators of questioning CAPUT\_M → questions about the Art as system \------------------------------------------------------------ Binding \------------------------------------------------------------ “questions” (chapter title) ≠ interrogative rule set \============================================================ VI. LOCUS-BASED REASONING \============================================================ L1 — Scholastic Form \------------------------------------------------------------ Each question: • belongs to a structural domain • must be resolved by: \- returning to that domain \- applying its signifiers (Latin: Unaquaeque quaestio pertinet ad dominium structurale et debet resolvi redeundo ad illud dominium et applicando eius significatores.) Examples: • First figure → identity and conversion • Second figure → difference / concordance / contrariety • Table → combinatorial proof • Subjects → ontological grounding (Latin: Exempli gratia: Figura Prima dat identitatem et conversionem; Figura Secunda dat differentiam, concordantiam, contrarietatem; Tabula dat probationem combinatoriam; Subiecta dant fundamentum ontologicum.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ resolve(Q): L := classify(Q) return apply(L.structure, Q) \------------------------------------------------------------ Binding \------------------------------------------------------------ “go to camera / column / subject” ⇔ navigate structural locus \============================================================ VII. SYSTEM-WIDE DISAMBIGUATION ROLE \============================================================ L1 — Scholastic Form \------------------------------------------------------------ This chapter: • clarifies ambiguities of all previous parts • shows correct interpretation paths • prevents misuse of figures, rules and mixture (Latin: Hoc capitulum clarificat ambiguitates omnium partium priorum, ostendit vias interpretationis rectas, prohibet abusum figurarum, regularum et mixturae.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ CAPUT\_M := DISAMBIGUATION\_LAYER ∀ ambiguity A: resolve(A) via example questions \------------------------------------------------------------ Binding \------------------------------------------------------------ examples ⇔ canonical clarification cases \============================================================ VIII. GENERATIVE QUESTION SPACE \============================================================ L1 — Scholastic Form \------------------------------------------------------------ Llull explicitly states: questions are effectively infinite because: • forms vary across subjects • principles combine combinatorially • loci multiply resolution paths (Latin: Lullius explicite dicit quaestiones esse effective infinitas, quia formae variant per subiecta, principia combinate combinaruntur, loca multiplicant vias resolutionis.) Who can count all questions? (Latin: Quis omnes quaestiones numerare potest?) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ |Q| → unbounded Q := combinatorial space over: principles × rules × subjects × forms \------------------------------------------------------------ Binding \------------------------------------------------------------ “who can count all questions?” ⇔ open combinatorial question space \============================================================ IX. RELATION TO APPLICATION \============================================================ L1 — Scholastic Form \------------------------------------------------------------ The previous chapter teaches how to apply the Art. This chapter shows how to answer questions using that application. (Latin: CAPUT L docet quomodo Artem applicare; CAPUT M ostendit quomodo respondere quaestionibus utendo illa applicatione.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ APPLICATION\_LAYER → prepares lawful application QUESTION\_LAYER → uses application for response \------------------------------------------------------------ Binding \------------------------------------------------------------ application ⇔ preparation of use questions ⇔ clarified response through that use \============================================================ X. RELATION TO THE NINTH SUBJECT \============================================================ L1 — Scholastic Form \------------------------------------------------------------ Questions about: • virtues • vices • moral instruments are resolved: • through the ninth subject • using principles and rules (Latin: Quaestiones de virtutibus, vitiis et instrumentis moralibus resolvuntur per subiectum K, utendo principiis et regulis.) “Go to the ninth subject.” (Latin: Vade ad nonum subiectum.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ Q\_moral → routed to the ninth subject resolve via: principial and rule-governed articulation within instrumentative domain \------------------------------------------------------------ Binding \------------------------------------------------------------ “go to the ninth subject” ⇔ instrumentative routing \============================================================ XI. PROCEDURAL NATURE \============================================================ L1 — Scholastic Form \------------------------------------------------------------ The Art is not: • a list of answers It is: • a method for generating answers (Latin: Ars non est index responsorum; est methodus generandi responsa.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ Art := procedure(Q) → solution \------------------------------------------------------------ Binding \------------------------------------------------------------ examples ≠ exhaustive ⇔ procedure is primary \============================================================ XII. CLOSURE \============================================================ L1 — Scholastic Form \------------------------------------------------------------ CAPUT M establishes that: • questions are mapped to loci • solutions are derived structurally • examples are instructional, not exhaustive • the Art is procedural and generative (Latin: CAPUT M stabilizat quaestiones mappari ad loca, solutiones derivari structuraliter, exempla esse instructionalia non exhaustiva, Artem esse proceduralem et generativam.) \------------------------------------------------------------ L2 — Operator Form \------------------------------------------------------------ CAPUT M governs: • question-to-locus mapping • structural derivation of solutions • clarification through examples • generative disputatio procedure \------------------------------------------------------------ CLOSURE CLARIFICATION \------------------------------------------------------------ This CAPUT preserves Rosetta density in order to prevent misreading of the Art as either a flat FAQ or a mere set of interrogative particles. Its task is to translate disputatio to stable interpretative use without reductionism. \------------------------------------------------------------ STRUCTURAL NOTE (NON-BINDING) \------------------------------------------------------------ This chapter may be regarded as the chief anti- misinterpretation layer of Ars Brevis, but in scholastic form: • objections • queries • demonstrations • partial answers • delegated resolution \============================================================ CONSTRAINTS \============================================================ • No collapse of chapter-questions into rule-interrogatives • No exhaustivist reading of examples • No substitution of loci-routing by free association • No execution in CAPUT layer \============================================================ END CAPUT ARS BREVIS M — DE QUAESTIONIBUS \============================================================