Part VI: Categorical Logic & Inference

Part Overview

Sector S_D (Diagrammatic), Part 3 of 3. What is truth? Boolean at micro scale, Bayesian at meso/macro—logic is scale-dependent. Truth-bearers are sections; truth-makers are structures; correspondence and coherence unify in the sheaf condition. Modal logic emerges from possible worlds as objects with accessibility morphisms. Paraconsistent logic handles contradictions at boundaries without explosion. Internal randomness exists; external randomness does not. Kolmogorov probability is representation theorem for belief. Inference is categorical necessity. Logic closes the diagrammatic sector: having established pattern (aesthetics), symbol (language), and now proof, the S_D apparatus is complete.

Chapters

• Chapter 66: Boolean Logic at the Micro Scale
• Chapter 67: Bayesian Inference at Meso/Macro Scale
• Chapter 68: Internal Randomness
• Chapter 69: No External Randomness
• Chapter 70: Kolmogorov as Representation Theorem
• Chapter 71: Inference as Categorical Necessity
• Chapter 72: Truth and Truth-Makers
• Chapter 73: Modal Logic in τ
• Chapter 74: Paraconsistent Logic at Boundaries
• Chapter 75: The Diagrammatic Sector Synthesis