Proofs and Refutations - The Logic of Mathematical Discovery

Informationen zum Autor 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. Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Imre Lakatos, Lakatos Imre
• Con la collaborazione di: John Worrall (Editore), Worrall John (Editore), Elie Zahar (Editore), Zahar Elie (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Copertina rigida
• Pubblicazione: 31.10.2015
• EAN: 9781107113466
• ISBN: 978-1-107-11346-6
• Pagine: 196
• Serie: Cambridge Philosophy Classics; Cambridge Philosophy Classics
• Categorie: Saggistica > Filosofia, religione > Filosofia: tematiche generali, opere di consultazione; Scienze naturali, medicina, informatica, tecnica > Matematica > Tematiche generali, enciclopedie; Scienze umane, arte, musica > Filosofia > Tematiche generali, enciclopedie; PHILOSOPHY / Logic, SCIENCE / Philosophy & Social Aspects, MATHEMATICS / Logic, Philosophy of Science, Mathematical logic, Philosophy: logic, philosophy of science; recreational mathematics