Imre Lakatos

Proofs and Refutations

Herausgeber: Worrall, John; Zahar, Elie

• Broschiertes Buch

Produktbeschreibung

Imre Lakatos's influential and enduring work on the nature of mathematic discovery and development continues to be relevant to philosophers of mathematics. Including a specially commissioned preface written by Paolo Mancosu, and presented in a fresh twenty-first-century series livery, it is now available for a new generation of readers.

Produktdetails

• Cambridge Philosophy Classics
• Verlag: Cambridge University Press
• Seitenzahl: 196
• Erscheinungstermin: 23. März 2018
• Englisch
• Abmessung: 229mm x 152mm x 11mm
• Gewicht: 300g
• ISBN-13: 9781107534056
• ISBN-10: 1107534054
• Artikelnr.: 43369878

Autorenporträt

Imre Lakatos (1922¿74) was one of the twentieth century's most prominent philosophers of science and mathematics, best known for his theory of the methodology of proof and refutation in mathematics.

Inhaltsangabe

Preface to this edition Paolo Mancosu
Editors' preface
Acknowledgments
Author's introduction
Part I: 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
Part II: Editors' introduction
Appendix 1. Another case-study in the method of proofs and refutations
Appendix 2. The deductivist versus the heuristic approach
Bibliography
Index of names
Index of subjects.