Proofs and refutations: the logic of mathematical discovery
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...
Gespeichert in:
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| Weitere beteiligte Personen: | , |
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1976
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| Links: | https://doi.org/10.1017/CBO9781139171472 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xii, 174 Seiten) |
| ISBN: | 9781139171472 |
Internformat
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| 520 | |a 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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| publishDate | 1976 |
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| spelling | Lakatos, Imre 1922-1974 Proofs and refutations the logic of mathematical discovery by Imre Lakatos ; edited by John Worrall and Elie Zahar Proofs & Refutations Cambridge Cambridge University Press 1976 1 Online-Ressource (xii, 174 Seiten) txt c cr 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. Worrall, John Zahar, Elie Erscheint auch als Druck-Ausgabe 9780521210782 Erscheint auch als Druck-Ausgabe 9780521290388 |
| spellingShingle | Lakatos, Imre 1922-1974 Proofs and refutations the logic of mathematical discovery |
| title | Proofs and refutations the logic of mathematical discovery |
| title_alt | Proofs & Refutations |
| title_auth | Proofs and refutations the logic of mathematical discovery |
| title_exact_search | Proofs and refutations the logic of mathematical discovery |
| title_full | Proofs and refutations the logic of mathematical discovery by Imre Lakatos ; edited by John Worrall and Elie Zahar |
| title_fullStr | Proofs and refutations the logic of mathematical discovery by Imre Lakatos ; edited by John Worrall and Elie Zahar |
| title_full_unstemmed | Proofs and refutations the logic of mathematical discovery by Imre Lakatos ; edited by John Worrall and Elie Zahar |
| title_short | Proofs and refutations |
| title_sort | proofs and refutations the logic of mathematical discovery |
| title_sub | the logic of mathematical discovery |
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