Paradigm Cognition: The Cutting-Recovery Method

Paradigm cognition belongs to cognitive ontology, aiming to reveal the ontological order behind cognitive behavior. Taking the 45° cosmic bicone closed structure (Pythagorean circular truncated cone model) as the benchmark paradigm, and based on the axiomatic foundations of Logic Origin Theory and Cosmic Growth Theory, this paper constructs a standardized Cutting-Recovery cognitive system supported by the ontological dynamic mechanisms of Ternary Operation and Five-Position Cycle. The paradigm model is the eigenpresentation of the inherent optimal steady-state laws of the logical cosmos. β₁ acts as the global ontological regulatory factor that unifies certainty and uncertainty; π₁ serves as the dynamic scale constant that unifies completeness and incompleteness. The three core theories are homologous, symbiotic and logically closed, with cross-domain universality, providing an original ontological approach for holistic system research.