Abstract
This paper puts forward a new account of rigorous mathematical proof and its epistemology. One novel feature is a focus on how the skill of reading and writing valid proofs is learnt, as a way of understanding what validity itself amounts to. The account is used to address two current questions in the literature: that of how mathematicians are so good at resolving disputes about validity, and that of whether rigorous proofs are necessarily formalizable.
| Original language | English |
|---|---|
| Pages (from-to) | 480 - 508 |
| Number of pages | 29 |
| Journal | Review of Symbolic Logic |
| Volume | 16 |
| Issue number | 2 |
| Early online date | 21 Oct 2020 |
| DOIs | |
| Publication status | Published - 1 Jun 2023 |
Bibliographical note
Publisher Copyright:© The Author(s), 2020. Published by Cambridge University Press on behalf of The Association for Symbolic Logic.
Keywords
- Mathematical rigour
- Mathematical proof
- Validity
- Formalizability
- Mathematical practice
- Length of proofs