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The Apparent Transcendence of Logic: Constitutive Closure and the Limits of Philosophical Inquiry

Gréhant, Xavier
PhilArchive · Papers
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philosophy
Logic appears indispensable to every coherent description of reality, yet admits no external grounding: any attempt to justify logic presupposes it. This paper argues that the circularity is diagnostic rather than vicious. It reveals _constitutive closure_: a structure whose components mutually enable each other such that no component's absence can be coherently questioned. Logic is the worked example, but the structure is general. Using Gödel-Löb provability logic to characterize the boundary of self-referential demonstration, the paper establishes a parity result: within demonstrable reach, constitutive closure and any proposed external grounding have equivalent explanatory force. The result is dissolution, not stalemate. Grounding questions dissolve when posing them requires what they ask about.
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