Imre Lakatos: Proofs and Refutations

Cover: 9781107534056 | Proofs and Refutations | Imre Lakatos | Taschenbuch | Englisch | 2018

Rückseite: 9781107534056 | Proofs and Refutations | Imre Lakatos | Taschenbuch | Englisch | 2018

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Beschreibung

Imre Lakatos's Proofs and Refutations is an enduring classic, which has never lost its relevance. Taking the form of a dialogue between a teacher and some students, the book considers various solutions to mathematical problems and, in the process, raises important questions about the nature of mathematical discovery and methodology. Lakatos shows that mathematics grows through a process of improvement by attempts at proofs and critiques of these attempts, and his work continues to inspire mathematicians and philosophers aspiring to develop a philosophy of mathematics that accounts for both the static and the dynamic complexity of mathematical practice. With a specially commissioned Preface written by Paolo Mancosu, this book has been revived for a new generation of readers.

Über den 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.

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.

Details

Erscheinungsjahr:	2018
Fachbereich:	Allgemeines
Genre:	Importe , Philosophie
Jahrhundert:	Antike
Rubrik:	Geisteswissenschaften
Thema:	Lexika
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9781107534056
ISBN-10:	1107534054
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Lakatos, Imre
Redaktion:	Worrall, John Zahar, Elie
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 11 mm
Von/Mit:	Imre Lakatos
Erscheinungsdatum:	23.03.2018
Gewicht:	0,293 kg