Tactics, dialectics, representation theory

TL;DR

This paper explores the use of tactical game theory to interpret dialectics, focusing on models related to representation theory and their connection to human and mathematical thinking.

Contribution

It introduces a novel game-theoretical framework for understanding dialectics and models the internal dialogue and reflection through representation theory.

Findings

Dialectical games can model internal dialogue and reflection.

Representation theory models relate to dialectical features of thinking.

The approach links human cognition with mathematical problem-solving.

Abstract

This article is devoted to the tactical game theoretical interpretation of dialectics. Dialectical games are considered as abstractly as well as models of the internal dialogue and reflection. The models related to the representation theory (representative dynamics) are specially investigated in detail, they correlate with the hypothesis on the dialectical features of human thinking in general and mathematical thought (the constructing of a solution of mathematical problem) in particular.