Differentiation-Based Logic for Modality and Intensionality

This paper introduces a formal system in which logical inference and truth are defined not via propositional values but through structural acts of distinction. The logic models scenes, nodes, modal transitions, and recursive levels, supporting both classical and non-classical inference. We show how captures patterns such as \emph{modus ponens}, handles metaphor, and applies to cognition. A modal theory of truth is defined through stability across possible scenes. The framework addresses foundational problems in philosophy and offers applications to logic, semantics, and AI.