Logic as a Consequence of the Ontological Self-Consistency of the Universe

In W-structure, self-consistency is a condition of existence, not a result reached by choice or by eliminating contradictions; logical laws express the necessary relations of what exists. For a finite event record, a language of statements about realization is built: the meanings of the connectives are obtained from explicit semantic requirements on persistent regions of realization, and the laws are proved from these meanings — non-contradiction, persistent implication, the weak law of excluded middle on the cuts of one history, Dummett's law for a single local system, and classical determinacy only at the complete cut. For the class of all finite event records the logic is exactly KC. The scope of Gödel's incompleteness theorems with respect to an ontological structure and to its formal descriptions is stated separately. All unproved representational steps are listed explicitly. Prepared with the assistance of AI models (Claude, ChatGPT).

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-09
DOI
https://doi.org/10.5281/zenodo.24088173
Primary Topic
Advanced Algebra and Logic
Type
preprint
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preprint

Logic as a Consequence of the Ontological Self-Consistency of the Universe

Hrachya Danielyan
Zenodo (CERN European Organization for Nuclear Research)
Advanced Algebra and Logic
preprint

Logic as a Consequence of the Ontological Self-Consistency of the Universe

Hrachya Danielyan
preprint en

Abstract

In W-structure, self-consistency is a condition of existence, not a result reached by choice or by eliminating contradictions; logical laws express the necessary relations of what exists. For a finite event record, a language of statements about realization is built: the meanings of the connectives are obtained from explicit semantic requirements on persistent regions of realization, and the laws are proved from these meanings — non-contradiction, persistent implication, the weak law of excluded middle on the cuts of one history, Dummett's law for a single local system, and classical determinacy only at the complete cut. For the class of all finite event records the logic is exactly KC. The scope of Gödel's incompleteness theorems with respect to an ontological structure and to its formal descriptions is stated separately. All unproved representational steps are listed explicitly. Prepared with the assistance of AI models (Claude, ChatGPT).

Zenodo (CERN European Organization for Nuclear Research)
Advanced Algebra and Logic
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