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| Format: | Recurso digital |
| Sprog: | engelsk |
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Zenodo
2026
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| Online adgang: | https://doi.org/10.5281/zenodo.19597721 |
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| _version_ | 1866902066192973824 |
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| author | Maibom, Marc |
| author_facet | Maibom, Marc |
| contents | <p class="MsoNormal"><span>This paper states, proves, and closes the Persistence Admissibility Theorem (PAT) and establishes the structural unavoidability of La Profílée. It supersedes Papers 81 v1/v2 and incorporates Paper 82 (Admissibility Necessity), closing all previously open precision points.</span></p> <p class="MsoNormal"><span>Part I (Sections 1–5) establishes PAT: within the full admissibility class C defined by Conditions 1–7, the unique global persistence condition is R ≤ F·M·K. Three precision improvements over PAT v2: (1) Sub-Lemma 2.1 formally derives countable order-density from Condition 4 rather than assuming it; (2) Lemma 4 closes the exhaustivity of the triadic architecture through Q1–Q3 functional exhaustion and B1–B4 systematic exclusion of fourth roles; (3) the C₀→C₁ transition is established internally rather than deferred to Paper 82.</span></p> <p class="MsoNormal"><span>Part II (Sections 6–9) establishes the Unavoidability of the Persistence Structure: F, M, K are not variables chosen to model persistence — they are the logical invariants of any possible persistence verdict. Any theory forming persistence verdicts satisfying Conditions 1–3 already contains F, M, K in the structure of its judgments. The admissibility class C is not assumed — it is induced. LP is not derived from persistence theories. Persistence theories are constrained projections of LP.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19597721 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Necessary and Sufficient Structural Condition of Persistent Identity Under Real Transformation Maibom, Marc Persistence Philosophy Modern philosophy Ontology Systems analysis Systems theory identity transformation structure constraint collapse flourishing <p class="MsoNormal"><span>This paper states, proves, and closes the Persistence Admissibility Theorem (PAT) and establishes the structural unavoidability of La Profílée. It supersedes Papers 81 v1/v2 and incorporates Paper 82 (Admissibility Necessity), closing all previously open precision points.</span></p> <p class="MsoNormal"><span>Part I (Sections 1–5) establishes PAT: within the full admissibility class C defined by Conditions 1–7, the unique global persistence condition is R ≤ F·M·K. Three precision improvements over PAT v2: (1) Sub-Lemma 2.1 formally derives countable order-density from Condition 4 rather than assuming it; (2) Lemma 4 closes the exhaustivity of the triadic architecture through Q1–Q3 functional exhaustion and B1–B4 systematic exclusion of fourth roles; (3) the C₀→C₁ transition is established internally rather than deferred to Paper 82.</span></p> <p class="MsoNormal"><span>Part II (Sections 6–9) establishes the Unavoidability of the Persistence Structure: F, M, K are not variables chosen to model persistence — they are the logical invariants of any possible persistence verdict. Any theory forming persistence verdicts satisfying Conditions 1–3 already contains F, M, K in the structure of its judgments. The admissibility class C is not assumed — it is induced. LP is not derived from persistence theories. Persistence theories are constrained projections of LP.</span></p> |
| title | The Necessary and Sufficient Structural Condition of Persistent Identity Under Real Transformation |
| topic | Persistence Philosophy Modern philosophy Ontology Systems analysis Systems theory identity transformation structure constraint collapse flourishing |
| url | https://doi.org/10.5281/zenodo.19597721 |