Abstract
Derivationists, those wishing to explain the correctness and rigour of informal proofs in terms of associated formal proofs, are generally held to be supported by the success of the project of translating informal proofs into computer-checkable formal counterparts. I argue, however, that this project is a false friend for the derivationists because there are too many different associated formal proofs for each informal proof, leading to a serious worry of overgeneration. I press this worry primarily against Azzouni's derivation-indicator account, but conclude that overgeneration is a major obstacle to a successful account of informal proofs in this direction.
Original language | English |
---|---|
Pages (from-to) | 295-310 |
Number of pages | 16 |
Journal | Philosophia Mathematica |
Volume | 23 |
Issue number | 3 |
Early online date | 23 Mar 2015 |
DOIs | |
Publication status | Published - Oct 2015 |