03_STACK_T/TENET_T_DoctrinalInvariants.md

Page Sections

Authority: AGLA / CONTROL PLANE line 6
Mutation Policy: VERSION-CONTROLLED ONLY line 7
Class: TENET line 9
## LOCAL SECTION INDEX line 14
Scope: local anchors within this artifact only. No cross-artifact links are introduced here. line 16
PURPOSE line 70
Define the principial regime of T (Figura T) within line 73
Ars Generalis Applied. line 74
TENET T establishes: line 77
TENET T governs: line 86
TENET T does NOT: line 93
DEFINITION line 106
CORE ASSERTION line 116
but relative. line 120
They do not define what things are. line 122
They define how expressed things relate. line 124
I. CONTROL-PLANE POSITION line 133
INTERPRETATION line 142
TENET T: line 147
RULE line 157
TENET T is: line 161
II. PREDICATE SET line 172
The canonical predicates of T are: line 176
SCOPE line 194
These predicates are: line 198
RULE line 207
Predicate identity is fixed. line 210
No predicate may be: line 213
III. ORDINAL PRIMACY line 227
DOMINIUM ORDINALE T line 234
The primary carrier of T is the ordinal slot. line 237
PRIMARY STRUCTURE line 243
SYMBOL BINDING line 252
ORDINAL PRIMACY LAW line 261
Structure is defined by SLOT. line 264
SYMBOL and NUMERIC are bound projections. line 266
CONSTRAINT line 272
SYMBOL and NUMERIC must not: line 276
ANTI-DRIFT RULE line 286
TENET T must not be read through: line 290
INTERPRETATION line 300
B is not first because of alphabet. line 303
IV. NON-ONTOLOGY LAW line 314
FORMULA line 321
INTERPRETATION line 330
T predicates do not posit being. line 333
They qualify respects under which expressed terms may be: line 336
RULE line 347
T predicates: line 351
CONSTRAINT line 361
TENET T must not: line 365
V. GENUS STRUCTURE line 378
Each predicate is stratified into three genus levels. line 381
GENUS SLOTS line 387
FORM line 398
EXAMPLES line 407
RULE line 417
Each predicate must preserve: line 421
CONSTRAINT line 430
Genus levels must not: line 434
PROVENANCE NOTE line 444
Genus definitions are inherited from stabilized CAPUT/CARCER line 447
extraction and are not re-derived in this artifact. line 448
VI. TRIADIC GROUPING line 457
Predicates are grouped into triads: line 461
FUNCTIONAL READING (NON-ABSOLUTE) line 471
Triads may be read functionally as: line 475
RULE line 485
not substitution or reduction. line 489
CONSTRAINT line 495
Triads must not: line 499
VII. RELATION TO TENET A line 511
TENET A and TENET T are both principial regimes. line 514
TENET A line 520
Defines: line 524
TENET T line 534
Defines: line 538
RELATION LAW line 547
T predicates operate over articulated or contracted line 550
expressions of principial content. line 551

============================================================ 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)  ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-purpose"></a> 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) ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-definition"></a> DEFINITION ------------------------------------------------------------ TENET T := principial system of relative predicates ordered by ordinal slots and stratified by genus ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-core-assertion"></a> CORE ASSERTION ------------------------------------------------------------ T predicates are principial, but relative. They do not define what things are. They define how expressed things relate. ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-i-control-plane-position"></a> I. CONTROL-PLANE POSITION ============================================================ TENET → ROTAS → AREPO → OPERA → SATOR ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-interpretation"></a> INTERPRETATION ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-tenet-t"></a> TENET T: • defines relational predicates • defines their lawful structure • constrains all downstream relational operations ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-rule"></a> RULE ------------------------------------------------------------ TENET T is: • not provisional • not inferred • not modified at runtime ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-ii-predicate-set"></a> 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 ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-scope"></a> SCOPE ------------------------------------------------------------ These predicates are: • widely applicable across domains • general in relational scope ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-2"></a> RULE ------------------------------------------------------------ Predicate identity is fixed. No predicate may be: ✗ added ✗ removed ✗ renamed ✗ reordered ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-iii-ordinal-primacy"></a> III. ORDINAL PRIMACY ============================================================ ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-dominium-ordinale-t"></a> DOMINIUM ORDINALE T ------------------------------------------------------------ The primary carrier of T is the ordinal slot. ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-primary-structure"></a> PRIMARY STRUCTURE ------------------------------------------------------------ Ⅰ → Ⅱ → Ⅲ → Ⅳ → Ⅴ → Ⅵ → Ⅶ → Ⅷ → Ⅸ ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-symbol-binding"></a> SYMBOL BINDING ------------------------------------------------------------ Ⅰ→B, Ⅱ→C, Ⅲ→D, Ⅳ→E, Ⅴ→F, Ⅵ→G, Ⅶ→H, Ⅷ→I, Ⅸ→K ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-ordinal-primacy-law"></a> ORDINAL PRIMACY LAW ------------------------------------------------------------ Structure is defined by SLOT. SYMBOL and NUMERIC are bound projections. ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint"></a> CONSTRAINT ------------------------------------------------------------ SYMBOL and NUMERIC must not: ✗ redefine structure ✗ determine traversal ✗ imply hierarchy ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-anti-drift-rule"></a> ANTI-DRIFT RULE ------------------------------------------------------------ TENET T must not be read through: ✗ alphabetical order ✗ symbolic proximity ✗ numeric magnitude ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-interpretation-2"></a> INTERPRETATION ------------------------------------------------------------ B is not first because of alphabet. B is first because it occupies SLOT Ⅰ. ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-iv-non-ontology-law"></a> IV. NON-ONTOLOGY LAW ============================================================ ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-formula"></a> FORMULA ------------------------------------------------------------ Relatio ≠ Esse ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-interpretation-3"></a> INTERPRETATION ------------------------------------------------------------ T predicates do not posit being. They qualify respects under which expressed terms may be: • compared • distinguished • mediated • evaluated ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-3"></a> RULE ------------------------------------------------------------ T predicates: • do not define substance • do not define identity • do not define essence ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint-2"></a> CONSTRAINT ------------------------------------------------------------ TENET T must not: ✗ collapse into TENET K (subjects) ✗ redefine ontology ✗ infer identity from relation ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-v-genus-structure"></a> V. GENUS STRUCTURE ============================================================ Each predicate is stratified into three genus levels. ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-genus-slots"></a> GENUS SLOTS ------------------------------------------------------------ g1 = higher / abstract / formal g2 = intermediate / mediated g3 = lower / concrete / applied ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-form"></a> FORM ------------------------------------------------------------ T(ρ,g) ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-examples"></a> EXAMPLES ------------------------------------------------------------ TB1, TB2, TB3 TF1, TF2, TF3 ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-4"></a> RULE ------------------------------------------------------------ Each predicate must preserve: • three distinct genus slots • ordered relation between them ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint-3"></a> CONSTRAINT ------------------------------------------------------------ Genus levels must not: ✗ collapse into one another ✗ be skipped in transitions ✗ be treated as interchangeable ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-provenance-note"></a> PROVENANCE NOTE ------------------------------------------------------------ Genus definitions are inherited from stabilized CAPUT/CARCER extraction and are not re-derived in this artifact. ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-vi-triadic-grouping"></a> VI. TRIADIC GROUPING ============================================================ Predicates are grouped into triads: Δ1 := {Ⅰ,Ⅱ,Ⅲ} Δ2 := {Ⅳ,Ⅴ,Ⅵ} Δ3 := {Ⅶ,Ⅷ,Ⅸ} ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-functional-reading-non-absolute"></a> FUNCTIONAL READING (NON-ABSOLUTE) ------------------------------------------------------------ Triads may be read functionally as: Δ1 → distinction Δ2 → process Δ3 → comparison / measure ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-5"></a> RULE ------------------------------------------------------------ Triads define grouping, not substitution or reduction. ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint-4"></a> CONSTRAINT ------------------------------------------------------------ Triads must not: ✗ override ordinal identity ✗ redefine predicate meaning ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-vii-relation-to-tenet-a"></a> VII. RELATION TO TENET A ============================================================ TENET A and TENET T are both principial regimes. ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-tenet-a"></a> TENET A ------------------------------------------------------------ Defines: • absolute predicates • principial content • full convertibility in undifferentiated unity ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-tenet-t-2"></a> TENET T ------------------------------------------------------------ Defines: • relative predicates • mediation between articulated terms ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-relation-law"></a> 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 ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-interpretation-4"></a> INTERPRETATION ------------------------------------------------------------ A provides: what is principially affirmed T provides: how articulated terms relate under that affirmation ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-viii-application-domain"></a> VIII. APPLICATION DOMAIN ============================================================ T predicates apply only to: • expressed terms • articulated states • relational contexts ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-rule-6"></a> RULE ------------------------------------------------------------ In machine-sensitive, validation-sensitive, or execution-sensitive contexts: explicit genus slot is required. ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-constraint-5"></a> CONSTRAINT ------------------------------------------------------------ T predicates must not be applied to: ✗ pure undifferentiated principia ✗ unexpressed substrate ✗ non-relational contexts ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-ix-prohibitions"></a> 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 ============================================================ ============================================================ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-x-summary"></a> X. SUMMARY ============================================================ TENET T defines: • principial relative predicates • ordinally grounded structure • genus-stratified articulation • non-ontological relational domain ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-final-law"></a> FINAL LAW ------------------------------------------------------------ T predicates are principial, but relative. They do not define what is. They define how what is expressed may be related. ------------------------------------------------------------ <a id="local-section-03-stack-t-tenet-t-doctrinalinvariants-closure-rule"></a> CLOSURE RULE ------------------------------------------------------------ TENET T must preserve: • ordinal primacy • genus integrity • relational purity • principial distinction from TENET A ============================================================ END OF ARTIFACT ============================================================