Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems: 286 - Brossura

Murawski, Roman

Brossura

ISBN 10: 9048152984 ISBN 13: 9789048152988

Casa editrice: Springer, 2010

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
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 9048152984
• ISBN 13: 9789048152988
• Rilegatura: Copertina flessibile
• Numero di pagine: 412
• Contatto del produttore: non disponibile
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