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A True Contradiction: _P∧¬P_

Christopher, Richard
PhilArchive · Papers
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philosophy
Classical propositional logic treats the negation of a contradiction, ¬(P∧¬P), as a simple tautology. This paper argues that such functionalist reduction obscures a deeper structural reality: the truth of the negation is constitutively dependent upon the falsity of its substrate. Within the proposition, ¬P grounds the truth of the whole, yet the whole negates the very conjunction that contains ¬P. The proposition therefore instantiates what we term a True Contradiction, not as a violation of classical logic but a revelation of its ontological structure. The epistemological evaluation (Truth) and the ontological constitution (Falsity) exist in irreducible simultaneity.
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