Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel's Theorems: 286 - Rilegato
Sinossi
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.
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Contenuti
Preface. Introduction. 1. Recursive Functions. 2. Gödel's Incompleteness Theorems. 3. Decidability Theory. 4. Philosophical Comments. Bibliography. List of Symbols. Index.
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Recursive Functions and Metamathematics: Problems of Completeness and Decidability, GÃ delâs Theorems (Synthese Library, 286)
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Gebunden. Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 Goedel s incompleteness th. Codice articolo 5969010
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Recursive Functions and Metamathematics
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Springer Netherlands, Springer Netherlands Sep 1999, 1999
ISBN 10: 0792359046
ISBN 13: 9780792359043
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 412 pp. Englisch. Codice articolo 9780792359043
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Recursive Functions and Metamathematics : Problems of Completeness and Decidability, Godel's Theorums
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Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel?s Theorems (Synthese Library, 286)
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Recursive Functions and Metamathematics
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Springer Netherlands, Springer Netherlands Sep 1999, 1999
ISBN 10: 0792359046
ISBN 13: 9780792359043
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Buch. Condizione: Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 412 pp. Englisch. Codice articolo 9780792359043
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Recursive Functions and Metamathematics
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Recursive Functions and Metamathematics : Problems of Completeness and Decidability, Gödel's Theorems
Editore:
Springer Netherlands, Springer Netherlands, 1999
ISBN 10: 0792359046
ISBN 13: 9780792359043
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780792359043
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