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| Формат: | Recurso digital |
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Zenodo
2026
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| Предмети: | |
| Онлайн доступ: | https://doi.org/10.5281/zenodo.20074285 |
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Зміст:
- <p><strong>Paper I of the Forced Existence Arc</strong></p> <p>This paper establishes a fixed-domain closure theorem within AASC (Admissibility and Standing Constraints). It proves that the null regime — a putative admissibility-bearing evaluability regime whose total standing-relevant content is vacuity — is structurally inadmissible under fixed-domain admissibility preservation.</p> <p>The manuscript develops the result through a tightly constrained closure architecture built from:</p> <ul> <li>standing–admissibility identity,</li> <li>admissible redescription preservation,</li> <li>AMetric boundary discipline,</li> <li>same-type evaluability constraints,</li> <li>identity-preserving continuation structure,</li> <li>and fixed-domain closure analysis.</li> </ul> <p>The central result is not an existential theorem, cosmological proposal, ontological claim, or temporal-origin argument. Instead, the paper establishes a structural exclusion result:</p> <blockquote> <p>admissibility-bearing evaluability cannot coherently terminate in total vacuity under same-type fixed-domain preservation.</p> </blockquote> <p>The analysis shows that every proposed null route ultimately fails in one of a finite number of ways. Putative governance-free or vacuous evaluability endpoints are demonstrated to:</p> <ul> <li>lose admissibility-bearing status,</li> <li>drift cross-domain,</li> <li>collapse into AMetric pre-admissibility,</li> <li>reduce to bookkeeping-only presentation,</li> <li>or fail evaluability-preserving continuation conditions.</li> </ul> <p>To make the closure structure explicit, the manuscript includes:</p> <ul> <li>a finite evaluability toy model,</li> <li>same-type counterexample discipline,</li> <li>AMetric non-selection analysis,</li> <li>internal/external evaluability-collapse results,</li> <li>route-exhaustion structure,</li> <li>and a comparison appendix distinguishing the theorem from transcendental arguments, inferentialism, and performative-contradiction approaches.</li> </ul> <p>The theorem is closure-theoretic rather than existential. Its target is the structural inadmissibility of the null regime within admissibility-bearing evaluability systems under AASC.</p> <p>In the larger Forced Existence Arc, this paper functions as the negative closure stage. It removes total evaluative vacuity as a stable admissibility-preserving endpoint without yet proving positive governance structure, admitted occupants, or concrete existence. Those stronger consequences are intentionally deferred to later papers in the arc.</p> <h3><strong>This paper is downstream of:</strong></h3> <ol> <li> <p class="wrap-overflowing-text"><strong><a href="https://doi.org/10.5281/zenodo.19324199">Minimal Conditions for Admissible Construction</a></strong></p> </li> <li> <p class="wrap-overflowing-text"><strong> <a href="https://doi.org/10.5281/zenodo.19198249">The Structure of Admissibility</a></strong></p> </li> </ol>