Saved in:
| Hovedforfatter: | |
|---|---|
| Format: | Recurso digital |
| Sprog: | engelsk |
| Udgivet: |
Zenodo
2026
|
| Fag: | |
| Online adgang: | https://doi.org/10.5281/zenodo.19597721 |
| Tags: |
Tilføj Tag
Ingen Tags, Vær først til at tagge denne postø!
|
Indholdsfortegnelse:
- <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>