Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems: 286 (Synthese Library) - Tapa blanda

Libro 160 de 304: Synthese Library

Murawski, Roman

 
9789048152988: Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems: 286 (Synthese Library)
Tapa blanda
ISBN 10: 9048152984 ISBN 13: 9789048152988
Editorial: Springer, 2010

Sinopsis

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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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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
9048152984
ISBN 13 
9789048152988
Encuadernación
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Número de páginas
412
Contacto del fabricante
no disponible
Persona responsable
CMN Printpool Inh. Mathis Neumann
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9780792359043: Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel's Theorems: 286 (Synthese Library)

Edición Destacada

ISBN 10:  0792359046 ISBN 13:  9780792359043
Editorial: Springer, 1999
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