
Logic Realism Theory (LRT) proposes that the Three Fundamental Laws of Logic (3FLL)—Identity, Non-Contradiction, and Excluded Middle—are not merely rules of reasoning but ontological constraints constitutive of physical distinguishability. The core evidence is an asymmetry: we can conceive of 3FLL violations, yet physical reality never produces them. This asymmetry indicates that 3FLL constrain reality, not merely cognition. This paper develops the philosophical foundations of this claim. We argue that: (1) 3FLL have a dual character, functioning both epistemically and ontologically; (2) quantum mechanics emerges as the unique "interface" structure mediating between non-Boolean possibility and Boolean actuality; (3) this framework resolves longstanding interpretive puzzles while maintaining scientific realism. The result is a form of structural realism grounded in logical necessity rather than contingent physical law.
quantum foundations; logic realism; Born rule; measurement problem; reconstruction theorems; complex Hilbert space; falsifiability; distinguishability; structural realism; decoherence; Three Fundamental Laws of Logic, quantum foundations; logic realism; Born rule; measurement problem; reconstruction theorems; complex Hilbert space; falsifiability; distinguishability; structural realism; decoherence; Three Fundamental Laws of Logic, philosophy of physics; quantum foundations; logical realism; ontology; structural realism; measurement problem
quantum foundations; logic realism; Born rule; measurement problem; reconstruction theorems; complex Hilbert space; falsifiability; distinguishability; structural realism; decoherence; Three Fundamental Laws of Logic, quantum foundations; logic realism; Born rule; measurement problem; reconstruction theorems; complex Hilbert space; falsifiability; distinguishability; structural realism; decoherence; Three Fundamental Laws of Logic, philosophy of physics; quantum foundations; logical realism; ontology; structural realism; measurement problem
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