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2026
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| Online Access: | https://doi.org/10.5281/zenodo.18524752 |
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| author | Maley, Amos |
| author_facet | Maley, Amos |
| contents | <p>This paper establishes a <em>generator–terminal</em> impossibility result for <em>meta-foundational re-anchoring</em> as a purported mechanism of repair or justification. It proves that no admissible formal system can generate, recover, or stabilize legitimacy by appealing to a higher-level foundation once admissibility has failed.</p> <p>The analysis exhausts all standard re-anchoring strategies—appeals to stronger logics, richer meta-languages, alternative semantic foundations, external justificatory frameworks, and hierarchical ascent. In every case, re-anchoring functions as an illicit operator that presupposes the very standing it claims to restore or requires unlicensed scope transport across the admissibility boundary.</p> <p>The generator–terminal structure is decisive: once admissibility is violated, there exists no admissible generator capable of producing a repaired foundation, nor any terminal regime in which legitimacy can be re-established by “going meta.” Foundational failure is absorbing, not recoverable.</p> <p>The result is strictly negative and non-constructive. The paper introduces no alternative foundations and proposes no recovery mechanisms. Its contribution is to demonstrate, by exhaustion, that meta-foundational ascent cannot serve as a generator of legitimacy.</p> <p>This work forms a central component of the broader generator–terminal closure program, placing hard limits on hierarchical justification, foundational repair, and legitimacy transfer across mathematics, logic, and physics.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18524752 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Generator Terminal Closure Meta Foundational Re Anchoring Maley, Amos <p>This paper establishes a <em>generator–terminal</em> impossibility result for <em>meta-foundational re-anchoring</em> as a purported mechanism of repair or justification. It proves that no admissible formal system can generate, recover, or stabilize legitimacy by appealing to a higher-level foundation once admissibility has failed.</p> <p>The analysis exhausts all standard re-anchoring strategies—appeals to stronger logics, richer meta-languages, alternative semantic foundations, external justificatory frameworks, and hierarchical ascent. In every case, re-anchoring functions as an illicit operator that presupposes the very standing it claims to restore or requires unlicensed scope transport across the admissibility boundary.</p> <p>The generator–terminal structure is decisive: once admissibility is violated, there exists no admissible generator capable of producing a repaired foundation, nor any terminal regime in which legitimacy can be re-established by “going meta.” Foundational failure is absorbing, not recoverable.</p> <p>The result is strictly negative and non-constructive. The paper introduces no alternative foundations and proposes no recovery mechanisms. Its contribution is to demonstrate, by exhaustion, that meta-foundational ascent cannot serve as a generator of legitimacy.</p> <p>This work forms a central component of the broader generator–terminal closure program, placing hard limits on hierarchical justification, foundational repair, and legitimacy transfer across mathematics, logic, and physics.</p> |
| title | Generator Terminal Closure Meta Foundational Re Anchoring |
| url | https://doi.org/10.5281/zenodo.18524752 |