Introduction to Universal Identity Theory

Providing Unification of Mathematical Objects Representation

Overview

It is a self-contained mathematical framework that provides all the tools needed for the unification of mathematical objects from different branches. It provides novel ways for representations of identities of mathematical objects, effectively providing a universal way for representation of mathematical objects.

Methodology

By introducing novel formulation of concept of identity methods enables universal way for representation of mathematical objects. Proposed framework effectively introduces:

• Unified concept space

• Hierarchical axiomatic systems

• Composable identity representation

• Foundational theorems for universal integrated knowledge system

Impact on AGI

The conceptual core of the Unified Identity Theory (UIT) harmonizes the representation of mathematical objects in a manner that is intuitively accessible to human learners. This approach constitutes a promising component for the development of Artificial General Intelligence (AGI), as it bridges disparate mathematical concepts under a single, comprehensive framework. By simplifying and unifying these concepts, UIT potentially accelerates the path towards the realization of AGI, aligning it more closely with human cognitive processes.

Personal Note on Development

The key ideas were developed during my journey from, through and to the noise, during which I've encountered various formal concepts which seemed to formalize the same idea just using different terms.

Etymology

"Universal" in the theory's name ensures it is not confused with Pure Identity Theory in logic.

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