Mapping the Edge of Logic: A Comprehensive Paradox Resolution Sweep
Mapping the Edge of Logic: A Comprehensive Paradox Resolution Sweep By John Gavel What happens when paradoxes meet adaptive logic? I ran 6,400 simulations across 10 foundational paradoxes and 8 logical frame types, testing how each context handles recursive tension, self-reference, and semantic collapse. The results? A map of coherence, contradiction, and emergent insight. Key Findings from the Comprehensive Sweep 1. Paradox Resolution Rates Are Low—By Design Paradox Resolution Success Rate Liar, Gödel 12.5% Russell, Cantor 7.0% Sorites 4.7% These are stress tests . Paradoxes expose the limits of contextual closure and force frames to confront their own boundaries. 2. Naive Logic Performs Best—But Not Most Robustly Naive frames resolved 21.2% of paradoxes, outperforming typed (13.8%) and fuzzy (9.4%) logic. But this success often reflects early collapse , not deep coherence. 3. Russell’s Paradox Finds Its Match in Category Theory The best-performing configuration: Para...