Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel's Theorems: 286 - Rilegato

Murawski, Roman

Rilegato

ISBN 10: 0792359046 ISBN 13: 9780792359043

Casa editrice: Springer-Verlag GmbH, 1999

Riassunto

Recursive Functions and Metamathematics deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This theory is first introduced and discussed. Then Gödel's incompleteness theorems are presented, together with generalizations, strengthenings, and the decidability theory. The book also considers the historical and philosophical context of these issues and their philosophical and methodological consequences. Recent results and trends have been included, such as undecidable sentences of mathematical content, reverse mathematics. All the main results are presented in detail. The book is self-contained and presupposes only some knowledge of elementary mathematical logic. There is an extensive bibliography.
Readership: Scholars and advanced students of logic, mathematics, philosophy of science.

Su questo libro

Contenuti

Preface. Introduction. 1. Recursive Functions. 2. Gödel's Incompleteness Theorems. 3. Decidability Theory. 4. Philosophical Comments. Bibliography. List of Symbols. Index.

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 0792359046
• ISBN 13: 9780792359043
• Rilegatura: Copertina rigida
• Numero di pagine: 412
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania