Mathematics as the Bridge Between Admissibility and Usability: A Structural Clarification Within the Paton System
Year: 2026
Type: article
Abstract: This paper clarifies the structural role of mathematics within the Paton System. It establishes that mathematics operates on admissible systems rather than determining system validity. Admissibility defines whether a system may exist, while mathematics transforms admissible structure into usable, measurable, and operational forms. This positions mathematics as a bridge between structural validity and application across domains.
Author: Paton, Andrew John
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7146984071
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