Imre Lakatos (ed.)
Cambridge University Press (1976)
Abstract |
Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Much of the book takes the form of a discussion between a teacher and his students. They propose various solutions to some mathematical problems and investigate the strengths and weaknesses of these solutions. Their discussion (which mirrors certain real developments in the history of mathematics) raises some philosophical problems and some problems about the nature of mathematical discovery or creativity. Imre Lakatos is concerned throughout to combat the classical picture of mathematical development as a steady accumulation of established truths. He shows that mathematics grows instead through a richer, more dramatic process of the successive improvement of creative hypotheses by attempts to 'prove' them and by criticism of these attempts: the logic of proofs and refutations.
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Keywords | Mathematics Philosophy Logic, Symbolic and mathematical |
Categories | (categorize this paper) |
Reprint years | 1979, 2012, 2013 |
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Call number | QA8.4.L34 |
ISBN(s) | 0521290384 9780521290388 9781139171472 9781107266018 1107534054 1107113466 |
DOI | 10.2307/2219364 |
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The Derivation-Indicator View of Mathematical Practice.Jody Azzouni - 2004 - Philosophia Mathematica 12 (2):81-106.
A Problem with the Dependence of Informal Proofs on Formal Proofs.Fenner Tanswell - 2015 - Philosophia Mathematica 23 (3):295-310.
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