Existence Without Exclusion: An Anti-Theorem Against Unrestricted Modal Realism

This paper presents a systematic critique of Unrestricted Modal Realism (UMR) through what we term the "Anti-Theorem of Ontological Constraint." We argue that UMR, by equating existence with mere formal coherence, collapses into conceptual incoherence through the evacuation of discrimination from its central predicate. Against this collapse, we propose a minimal transcendental condition for any viable ontology: existence must involve effective restriction within a relational system. This criterion serves not as a positive metaphysical theory but as a conceptual filter against ontologically vacuous positions. We formalize this intuition in an informal Anti-Theorem and explore its implications for personal identity, cosmology, and the status of mathematical entities.