Theory of Paradox
Theory of Paradox: V8.0 Theory of Paradox: Dialectical Extensions to Incompleteness (V8.0) Author: John Gavel Title: Computational Dialectics: Temporal and Recursive Framework for Navigating Incompleteness Abstract Gödelian incompleteness is traditionally treated as a fundamental barrier to formal systems. This framework reconceptualizes undecidability as a productive signal , revealing necessary expansions in system context. Inspired by Hegelian dialectics, we formalize how contradictions drive system development rather than system collapse. Paradoxes are modeled as recursive coherence misalignments across interacting contexts. Temporal evolution, recursive depth, and coherence metrics guide adaptive resolution. Empirical validation from 5,760 simulations confirms the predictive power of recursive scaling and topological coherence fields, providing concrete ranges for success parameters in automated reasoning and AI applications. 1. Dialectical Reframing of Incompletene...