============================================================ TENET T — PRINCIPIA RELATIVA (FIGURA T) Ars Generalis Applied — Doctrinal Layer (Relational Regime) Version: 0.2.1-TENET-T (rev T.5 — ordinal-primacy / A-T-corrected / genus-disciplined) Status: DOCTRINAL LAYER — LOCK CANDIDATE Authority: AGLA / CONTROL PLANE Mutation Policy: VERSION-CONTROLLED ONLY Class: TENET ============================================================ ## LOCAL SECTION INDEX Scope: local anchors within this artifact only. No cross-artifact links are introduced here. - [PURPOSE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-purpose) - [DEFINITION](#local-section-03-stack-t-tenet-t-doctrinalinvariants-definition) - [CORE ASSERTION](#local-section-03-stack-t-tenet-t-doctrinalinvariants-core-assertion) - [I. CONTROL-PLANE POSITION](#local-section-03-stack-t-tenet-t-doctrinalinvariants-i-control-plane-position) - [INTERPRETATION](#local-section-03-stack-t-tenet-t-doctrinalinvariants-interpretation) - [TENET T:](#local-section-03-stack-t-tenet-t-doctrinalinvariants-tenet-t) - [RULE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-rule) - [II. PREDICATE SET](#local-section-03-stack-t-tenet-t-doctrinalinvariants-ii-predicate-set) - [SCOPE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-scope) - [RULE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-2) - [III. ORDINAL PRIMACY](#local-section-03-stack-t-tenet-t-doctrinalinvariants-iii-ordinal-primacy) - [DOMINIUM ORDINALE T](#local-section-03-stack-t-tenet-t-doctrinalinvariants-dominium-ordinale-t) - [PRIMARY STRUCTURE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-primary-structure) - [SYMBOL BINDING](#local-section-03-stack-t-tenet-t-doctrinalinvariants-symbol-binding) - [ORDINAL PRIMACY LAW](#local-section-03-stack-t-tenet-t-doctrinalinvariants-ordinal-primacy-law) - [CONSTRAINT](#local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint) - [ANTI-DRIFT RULE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-anti-drift-rule) - [INTERPRETATION](#local-section-03-stack-t-tenet-t-doctrinalinvariants-interpretation-2) - [IV. NON-ONTOLOGY LAW](#local-section-03-stack-t-tenet-t-doctrinalinvariants-iv-non-ontology-law) - [FORMULA](#local-section-03-stack-t-tenet-t-doctrinalinvariants-formula) - [INTERPRETATION](#local-section-03-stack-t-tenet-t-doctrinalinvariants-interpretation-3) - [RULE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-3) - [CONSTRAINT](#local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint-2) - [V. GENUS STRUCTURE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-v-genus-structure) - [GENUS SLOTS](#local-section-03-stack-t-tenet-t-doctrinalinvariants-genus-slots) - [FORM](#local-section-03-stack-t-tenet-t-doctrinalinvariants-form) - [EXAMPLES](#local-section-03-stack-t-tenet-t-doctrinalinvariants-examples) - [RULE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-4) - [CONSTRAINT](#local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint-3) - [PROVENANCE NOTE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-provenance-note) - [VI. TRIADIC GROUPING](#local-section-03-stack-t-tenet-t-doctrinalinvariants-vi-triadic-grouping) - [FUNCTIONAL READING (NON-ABSOLUTE)](#local-section-03-stack-t-tenet-t-doctrinalinvariants-functional-reading-non-absolute) - [RULE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-5) - [CONSTRAINT](#local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint-4) - [VII. RELATION TO TENET A](#local-section-03-stack-t-tenet-t-doctrinalinvariants-vii-relation-to-tenet-a) - [TENET A](#local-section-03-stack-t-tenet-t-doctrinalinvariants-tenet-a) - [TENET T](#local-section-03-stack-t-tenet-t-doctrinalinvariants-tenet-t-2) - [RELATION LAW](#local-section-03-stack-t-tenet-t-doctrinalinvariants-relation-law) - [INTERPRETATION](#local-section-03-stack-t-tenet-t-doctrinalinvariants-interpretation-4) - [VIII. APPLICATION DOMAIN](#local-section-03-stack-t-tenet-t-doctrinalinvariants-viii-application-domain) - [RULE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-6) - [CONSTRAINT](#local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint-5) - [IX. PROHIBITIONS](#local-section-03-stack-t-tenet-t-doctrinalinvariants-ix-prohibitions) - [X. SUMMARY](#local-section-03-stack-t-tenet-t-doctrinalinvariants-x-summary) - [FINAL LAW](#local-section-03-stack-t-tenet-t-doctrinalinvariants-final-law) - [CLOSURE RULE](#local-section-03-stack-t-tenet-t-doctrinalinvariants-closure-rule) ============================================================ PURPOSE ============================================================ Define the principial regime of T (Figura T) within Ars Generalis Applied. TENET T establishes: • the canonical set of relative predicates • their ordinal structure • their genus stratification • their non-ontological nature • their role in mediating articulated terms TENET T governs: • relational predicates (categorigmata relativa) • their lawful application domain • their structural articulation rules TENET T does NOT: • define being (TENET K) • define absolute principial content (TENET A) • define structure (ROTAS) • define admissibility (AREPO) • define execution (OPERA) ------------------------------------------------------------ DEFINITION ------------------------------------------------------------ TENET T := principial system of relative predicates ordered by ordinal slots and stratified by genus ------------------------------------------------------------ CORE ASSERTION ------------------------------------------------------------ T predicates are principial, but relative. They do not define what things are. They define how expressed things relate. ============================================================ ============================================================ I. CONTROL-PLANE POSITION ============================================================ TENET → ROTAS → AREPO → OPERA → SATOR ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ TENET T: • defines relational predicates • defines their lawful structure • constrains all downstream relational operations ------------------------------------------------------------ RULE ------------------------------------------------------------ TENET T is: • not provisional • not inferred • not modified at runtime ============================================================ II. PREDICATE SET ============================================================ The canonical predicates of T are: SLOT | SYMBOL | NAME | FUNCTIONAL LABEL ------------------------------------------------ Ⅰ | B | Differentia | Differens Ⅱ | C | Concordantia | Concordans Ⅲ | D | Contrarietas | Contrarium Ⅳ | E | Principium | Initialis Ⅴ | F | Medium | Medians Ⅵ | G | Finis | Finalis Ⅶ | H | Maioritas | Maior Ⅷ | I | Aequalitas | Aequalis Ⅸ | K | Minoritas | Minor ------------------------------------------------------------ SCOPE ------------------------------------------------------------ These predicates are: • widely applicable across domains • general in relational scope ------------------------------------------------------------ RULE ------------------------------------------------------------ Predicate identity is fixed. No predicate may be: ✗ added ✗ removed ✗ renamed ✗ reordered ============================================================ ============================================================ III. ORDINAL PRIMACY ============================================================ ------------------------------------------------------------ DOMINIUM ORDINALE T ------------------------------------------------------------ The primary carrier of T is the ordinal slot. ------------------------------------------------------------ PRIMARY STRUCTURE ------------------------------------------------------------ Ⅰ → Ⅱ → Ⅲ → Ⅳ → Ⅴ → Ⅵ → Ⅶ → Ⅷ → Ⅸ ------------------------------------------------------------ SYMBOL BINDING ------------------------------------------------------------ Ⅰ→B, Ⅱ→C, Ⅲ→D, Ⅳ→E, Ⅴ→F, Ⅵ→G, Ⅶ→H, Ⅷ→I, Ⅸ→K ------------------------------------------------------------ ORDINAL PRIMACY LAW ------------------------------------------------------------ Structure is defined by SLOT. SYMBOL and NUMERIC are bound projections. ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ SYMBOL and NUMERIC must not: ✗ redefine structure ✗ determine traversal ✗ imply hierarchy ------------------------------------------------------------ ANTI-DRIFT RULE ------------------------------------------------------------ TENET T must not be read through: ✗ alphabetical order ✗ symbolic proximity ✗ numeric magnitude ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ B is not first because of alphabet. B is first because it occupies SLOT Ⅰ. ============================================================ ============================================================ IV. NON-ONTOLOGY LAW ============================================================ ------------------------------------------------------------ FORMULA ------------------------------------------------------------ Relatio ≠ Esse ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ T predicates do not posit being. They qualify respects under which expressed terms may be: • compared • distinguished • mediated • evaluated ------------------------------------------------------------ RULE ------------------------------------------------------------ T predicates: • do not define substance • do not define identity • do not define essence ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ TENET T must not: ✗ collapse into TENET K (subjects) ✗ redefine ontology ✗ infer identity from relation ============================================================ ============================================================ V. GENUS STRUCTURE ============================================================ Each predicate is stratified into three genus levels. ------------------------------------------------------------ GENUS SLOTS ------------------------------------------------------------ g1 = higher / abstract / formal g2 = intermediate / mediated g3 = lower / concrete / applied ------------------------------------------------------------ FORM ------------------------------------------------------------ T(ρ,g) ------------------------------------------------------------ EXAMPLES ------------------------------------------------------------ TB1, TB2, TB3 TF1, TF2, TF3 ------------------------------------------------------------ RULE ------------------------------------------------------------ Each predicate must preserve: • three distinct genus slots • ordered relation between them ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Genus levels must not: ✗ collapse into one another ✗ be skipped in transitions ✗ be treated as interchangeable ------------------------------------------------------------ PROVENANCE NOTE ------------------------------------------------------------ Genus definitions are inherited from stabilized CAPUT/CARCER extraction and are not re-derived in this artifact. ============================================================ ============================================================ VI. TRIADIC GROUPING ============================================================ Predicates are grouped into triads: Δ1 := {Ⅰ,Ⅱ,Ⅲ} Δ2 := {Ⅳ,Ⅴ,Ⅵ} Δ3 := {Ⅶ,Ⅷ,Ⅸ} ------------------------------------------------------------ FUNCTIONAL READING (NON-ABSOLUTE) ------------------------------------------------------------ Triads may be read functionally as: Δ1 → distinction Δ2 → process Δ3 → comparison / measure ------------------------------------------------------------ RULE ------------------------------------------------------------ Triads define grouping, not substitution or reduction. ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ Triads must not: ✗ override ordinal identity ✗ redefine predicate meaning ============================================================ ============================================================ VII. RELATION TO TENET A ============================================================ TENET A and TENET T are both principial regimes. ------------------------------------------------------------ TENET A ------------------------------------------------------------ Defines: • absolute predicates • principial content • full convertibility in undifferentiated unity ------------------------------------------------------------ TENET T ------------------------------------------------------------ Defines: • relative predicates • mediation between articulated terms ------------------------------------------------------------ RELATION LAW ------------------------------------------------------------ T predicates operate over articulated or contracted expressions of principial content. T does not: • alter A's principial identity • replace convertibility in A ------------------------------------------------------------ INTERPRETATION ------------------------------------------------------------ A provides: what is principially affirmed T provides: how articulated terms relate under that affirmation ============================================================ ============================================================ VIII. APPLICATION DOMAIN ============================================================ T predicates apply only to: • expressed terms • articulated states • relational contexts ------------------------------------------------------------ RULE ------------------------------------------------------------ In machine-sensitive, validation-sensitive, or execution-sensitive contexts: explicit genus slot is required. ------------------------------------------------------------ CONSTRAINT ------------------------------------------------------------ T predicates must not be applied to: ✗ pure undifferentiated principia ✗ unexpressed substrate ✗ non-relational contexts ============================================================ ============================================================ IX. PROHIBITIONS ============================================================ ✗ redefining predicate set ✗ altering ordinal order ✗ collapsing genus structure ✗ deriving ontology from relation ✗ applying T to pure principial unity ✗ treating symbol sequence as primary ✗ treating numeric sequence as primary ✗ substituting traversal order for structural order ============================================================ ============================================================ X. SUMMARY ============================================================ TENET T defines: • principial relative predicates • ordinally grounded structure • genus-stratified articulation • non-ontological relational domain ------------------------------------------------------------ FINAL LAW ------------------------------------------------------------ T predicates are principial, but relative. They do not define what is. They define how what is expressed may be related. ------------------------------------------------------------ CLOSURE RULE ------------------------------------------------------------ TENET T must preserve: • ordinal primacy • genus integrity • relational purity • principial distinction from TENET A ============================================================ END OF ARTIFACT ============================================================