DeDeo, Simon & Duede, Eamon: A correspondence problem for mathematical proof

Philosophy of Science. forthcomingMathematical proofs are often said to justify their conclusions by indicating the existence of a corresponding formal derivation. We argue that this widespread view relies on an under-examined notion of correspondence, or what it means for a particular derivation to ''correspond'' to a particular proof. Mere existence of a formalization is not enough, and a substantive account of the required correspondence resolves into two criteria---adequate representation