Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel's Theorems: 286 (Synthese Library) - Hardcover

Murawski, Roman

 
9780792359043: Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel's Theorems: 286 (Synthese Library)
Hardcover
ISBN 10: 0792359046 ISBN 13: 9780792359043
Verlag: Springer, 1999

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

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.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
1999
Sprache
Englisch
ISBN 10 
0792359046
ISBN 13 
9780792359043
Einband
Tapa dura
Anzahl der Seiten
412
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Hamburg
Deutschland

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9789048152988: Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems (Synthese Library, Band 286)

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Softcover