What question did this study set out to answer?

To unify various branches of mathematics under a closed 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

To unify various branches of mathematics under a closed axiomatic system.
Reconstruction of set theory and core mathematical branches
Integration of primitive number and ring theory
Definition of unique axiomatic structures including Primitive 1, 1°, 0, β₁, and five-element closure.
Establishes a comprehensive framework that links primitive number and ring theories with pure mathematics
Clarifies the interrelationship between set theory, real numbers, and topology
Addresses Gödel incompleteness within the new axiomatic system.

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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