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Abstract

Some mathematical theorems can be proven only with the help of computer programs. Does this reliance on computers introduce empirics into math, and thereby change the nature of proof? I argue no. We must distinguish between the warrant the proof gives for its conclusion, and our knowledge of that warrant. A proof is a priori if and only if the conclusion follows deductively from the premises without empirical justification. I start by defending this definition, and proceed to demonstrate that computer-generated proofs meet its criterion.

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