The Relationship of Derivations in Artificial Languages to Ordinary Rigorous Mathematical Proof
J. Azzouni · Philosophia Mathematica · 2013
The relationship is explored between formal derivations, which occur in artificial languages, and mathematical proof, which occurs in natural languages. The suggestion that ordinary mathematical proofs are abbreviations or sketches of formal derivations is presumed false. The alternative suggestion that the existence of appropriate derivations in formal logical languages is a norm for ordinary rigorous mathematical proof is explored and rejected.