Chapter 72: Truth and Truth-Makers
What makes a proposition true? The philosophical tradition offers two rival answers: correspondence theory (truth as match between proposition and fact) and coherence theory (truth as consistency within a system of beliefs). This chapter reformulates the question in categorical terms. Truth-bearers are sections of presheaves; a proposition is true when a section representing it exists. Truth-makers are the structures in τ that ground this existence. The Alethic Unification Theorem (VII.T27) shows that correspondence and coherence are not rival theories but two aspects of the sheaf condition: correspondence is section-existence, coherence is the gluing constraint. Alethic pluralism follows as a structural proposition: different registers of τ (diagrammatic, empirical, practical, aesthetic) may realize truth-making through different mechanisms, all unified by the same categorical architecture.