CAT'S THEORY: CAT'S Theory as Transcendental Proof: The Triadic Meta-Law, Intelligibility, and the Triune God

This paper argues that CAT'S Theory's Triadic Meta-Law, originally presented as a purely meta-ontological constraint on minded worlds, in fact underwrites a stronger transcendental conclusion when combined with a sufficiency requirement on intelligibility itself. Prior work demonstrated that any base ontology sufficient for conscious, norm-responsive agents must encode a structural package isomorphic to P I Pr 0. This extension argues that the Intent factor cannot be rendered fully impersonal without collapsing the capacities the Meta-Law secures. Furthermore, it demonstrates that this triadic structure is a precondition for intelligibility as such: every act of predication and reasoning presupposes a P I Pr-like configuration. The result provides a transcendental bridge to a personal, triune ground of being, contending that the triadic package uniquely fits the classical doctrine of the Trinity while materialist alternatives remain self-undermining