We present an extension of Gödel's incompleteness theorems through the lens of a structure-preserving functor from a Cognitive Manifold to a Geometric Manifold. Using paths (Curves), valuations (Values), epistemic voids (Holes), and divergences (Debits), we formalize conditions for procedural self-negation in intentional systems. The framework is applied to detect truth/deception signatures in complex systems like financial markets.
Neurogeometry?
Abstract
We present an extension of Gödel's incompleteness theorems through the lens of a structure-preserving functor from a Cognitive Manifold to a Geometric Manifold. Using paths (Curves), valuations (Values), epistemic voids (Holes), and divergences (Debits), we formalize conditions for procedural self-negation in intentional systems. The framework is applied to detect truth/deception signatures in complex systems like financial markets.