Paradox Dissolution Through Hierarchical Analysis: A Diagnostic Framework

This article applies the Architecture of Reasoning to the analysis of paradoxes, demonstrating that classical paradoxes serve as diagnostic signals of architectural violations. We classify 46 paradoxes into three categories: structural paradoxes (13), which violate the vertical dimension of the Law of Order through hierarchical level confusion; defective paradoxes (25), which contain aws in their premises—conceptual indeterminacy, contradiction, false assumptions, or category errors; and non-paradoxes (8), which produce counter-intuitive but correct results without contradiction. The method of domain analysis transforms paradoxes from mysteries into exercises. Each paradox passes through the six domains of reasoning; the point of failure becomes visible; the apparent contradiction dissolves. We provide detailed analyses of ten paradigmatic paradoxes (Liar, Russell, Sorites, Ship of Theseus, Unexpected Hanging, Newcomb, Carroll's Tortoise, Hilbert's Hotel, Galileo's Paradox, and Banach-Tarski) and classify the remainder. The framework connects to the formal Theory of Systems, where key paradoxes (Russell, Cantor) are blocked structurally through Coq-veried proofs. Future directions include integration with fallacy detection systems and applications to AI reasoning verification.