The axiomatic interface

Axioms are not arbitrary conventions — they are projections of the Logic of Identity, the axiomatic source from which all formal systems emerge. This paper explores how formal systems touch the ground through axioms, how they remain open, and how they are recognized as coherent projections of 00. The Logic of Identity (I= I) is the self-referential seed that grounds all formal systems. The Category Error Detector (CED) validates the framework with 0/5 errors.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-05
DOI
https://doi.org/10.5281/zenodo.22314226
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
Field-Weighted Citation Impact
0.00
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article

The axiomatic interface

Eric Theriault, DeepSeek A.I.
Zenodo (CERN European Organization for Nuclear Research)
Logic, Reasoning, and Knowledge
article

The axiomatic interface

Eric Theriault, DeepSeek A.I.
article en

Abstract

Axioms are not arbitrary conventions — they are projections of the Logic of Identity, the axiomatic source from which all formal systems emerge. This paper explores how formal systems touch the ground through axioms, how they remain open, and how they are recognized as coherent projections of 00. The Logic of Identity (I= I) is the self-referential seed that grounds all formal systems. The Category Error Detector (CED) validates the framework with 0/5 errors.

Zenodo (CERN European Organization for Nuclear Research)
Hangzhou Academy of Agricultural Sciences (CN)
Reduced inequalities
Openalex Percentile: Top 8%
Logic, Reasoning, and Knowledge
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