Recursive Consistency Requirement in the Paton System

This note states a consistency requirement within the Paton System framework. Because the Paton System describes admissibility as the governing condition for continuation in recursive systems, the framework itself must satisfy the same admissibility conditions it describes. If it did not, the theory would become self-contradictory and enter a recursive logical loop. The Recursive Consistency Requirement therefore ensures structural coherence within the Paton System architecture.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-09
DOI
https://doi.org/10.5281/zenodo.18911121
Primary Topic
Logic, Reasoning, and Knowledge
Type
article
Field-Weighted Citation Impact
0.00
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article

Recursive Consistency Requirement in the Paton System

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Logic, Reasoning, and Knowledge
article

Recursive Consistency Requirement in the Paton System

Andrew John Paton
article en

Abstract

This note states a consistency requirement within the Paton System framework. Because the Paton System describes admissibility as the governing condition for continuation in recursive systems, the framework itself must satisfy the same admissibility conditions it describes. If it did not, the theory would become self-contradictory and enter a recursive logical loop. The Recursive Consistency Requirement therefore ensures structural coherence within the Paton System architecture.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 34%
Logic, Reasoning, and Knowledge
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Recursive Consistency Requirement in the Paton System — Andrew John Paton · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS