Proofs and refutations : the logic of mathematical discovery / by Imre Lakatos ; edited by John Worrall and Elie Zahar.
By: Lakatos, Imre
Material type:
TextPublisher: Cambridge ; New York : Cambridge University Press, 1976Description: xii, 174 p. ; 23 cmISBN: 0521290384 ; 9780521290388Subject(s): Mathematics -- Philosophy | Logic, Symbolic and mathematicalDDC classification: 511/.3 LOC classification: QA8.4 | .L34Online resources: Publisher description | Table of contents | Item type | Current library | Class number | Status | Date due | Barcode |
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| Books / Monographs |
Dominican University College Library / Collège Universitaire Dominicain
Hours of operation: Monday - Thursday 8am - 8:30 pm; Friday 8am - 4pm | Les heures d'ouverture : Lundi à jeudi de 8 h à 20 h 30; vendredi 8h - 16h
Standard shelving location / Rayonnage standard
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QA 9 .54 L34 P76 1999 (Browse shelf (Opens below)) | Available | 30000000515423 |
Includes indexes.
Bibliography: p. 155-165.
Editors' preface; Acknowledgments; Author's introduction; 1. A problem and a conjecture; 2. A proof; 3. Criticism of the proof by counterexamples which are local but not global; 4. Criticism of the conjecture by global counterexamples; 5. Criticism of the proof-analysis by counterexamples which are global but not local: the problem of rigour; 6. Return to criticism of the proof by counterexamples which are local but not global: the problem of content; 7. The problem of content revisited; 8. Concept-formation; 9. How criticism may turn mathematical truth into logical truth; Appendices; Bibliography; Index of names; Index of subjects.
Proofs and Refutations is essential reading for all those interested in the methodology, the philosophy and the history of mathematics. Imre Lakatos shows that mathematics grows through a 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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