What question did this study set out to answer?

The central aim is to define identity as a basic relational structure using essential axioms.

January 22, 2026Open Access

Primitive Identity Structure

Key Points

The central aim is to define identity as a basic relational structure using essential axioms.
Formalizing identity within a mathematical framework
Identifying minimal axioms necessary for structural constraints
Focusing on foundational aspects without interpretations or applications
Establishes identity as a primitive concept
Clarifies the foundational role of minimal axioms
Sets the stage for future formal developments in the Anti-Ruin Program

Abstract

This paper is a pure mathematics contribution within Layer I of the Anti-Ruin Program. It formalizes identity as a primitive relational structure and isolates the minimalaxioms required for identity to act as a structural constraint. No interpretation, dynamics, or applications are introduced. The paper serves solely as a foundationalcomponent for subsequent formal developments.

AIに質問

Bookmark

View Full Paper