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RIGOUR AND PROOF

Part of: Philosophical aspects of logic and foundations General and miscellaneous specific topics

Published online by Cambridge University Press:  21 October 2020

OLIVER TATTON-BROWN
OLIVER TATTON-BROWN*
Affiliation:
DEPARTMENT OF PHILOSOPHY UNIVERSITY OF BRISTOL BRISTOL, UK
*
E-mail: [email protected]
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Abstract

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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.

Keywords

mathematical rigourmathematical proofvalidityformalizabilitymathematical practicelength of proofs

MSC classification

Primary: 00A30: Philosophy of mathematics
Secondary: 00A35: Methodology of mathematics, didactics 03A05: Philosophical and critical
Type
Research Article
Information
The Review of Symbolic Logic , Volume 16 , Issue 2 , June 2023 , pp. 480 - 508
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Copyright
© The Author(s), 2020. Published by Cambridge University Press on behalf of The Association for Symbolic Logic

References

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