{"paper":{"title":"Logical Dependence of Physical Determinism on Set-theoretic Metatheory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.LO","authors_text":"Justin Clarke-Doane","submitted_at":"2025-08-15T11:46:42Z","abstract_excerpt":"Baroque questions of set-theoretic foundations are widely assumed to be irrelevant to physics. I argue that this is doubtful once determinism is read the way it is used in physics. At the analytic layer, determinism verdicts for possible systems can differ between canonical extensions of ZFC -- Goedel's Axiom of Constructibility (V=L) and large cardinal assumptions sufficient for Projective Determinacy (LC/PD) -- through coherence, uniqueness, and the identity of a definable initial datum. The main claim concerns a second, regularity layer. Determinism claims are meant to withstand admissible "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.02567","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.02567/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}