Von Neumann–Kitaev Figure: Proposal of the Fifth Figure via Topological Anyonic Syllogism by Combinatory Categorial Grammar

There’s a limitation of classical model-theoretic semantics within non-commutative vector spaces that necessitates a computational type-theoretic framework for quantum logic. Relational models fail when identity operators undergo non-abelian transformations. This paper introduces a fifth syllogistic paradigm. Which is Von Neumann–Kitaev Figure, which eliminates the constraint of static term-class containment. By formalizing the logical middle term as an asymmetric microscopic phase channel m, the framework establishes a predictive syntactic engine. The derivation maps directly to a пяти-mood matrix via Combinatory Categorial Grammar (CCG) and monadic type-raisings.