What question did this study set out to answer?

The aim is to integrate various mathematical disciplines under a unified axiomatic system.

April 29, 2026Open Access

Upgraded Unification of Primitive Number Theory, Ring Theory and Pure Mathematics Core Branches (V9.21/V9.22) Under V11.4

Key Points

The aim is to integrate various mathematical disciplines under a unified axiomatic system.
Reconstruction of set theory, real numbers, and group theory
Integration of topology and dimension
Examination of Gödel incompleteness
Achieved a unification of primitive number theory and ring theory
Developed a closed axiomatic system including Primitive 1 and β₁
Highlighted implications for foundational mathematics

Abstract

This paper unifies primitive number theory, primitive ring theory (V9.21), and pure mathematics core branches (V9.22) under V11.4. It reconstructs set theory, real numbers, group theory, topology, dimension, and Gödel incompleteness within a closed axiomatic system based on Primitive 1, 1°, 0, β₁, and five-element closure.

Upgraded Unification of Primitive Number Theory, Ring Theory and Pure Mathematics Core Branches (V9.21/V9.22) Under V11.4

Key Points

Abstract

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