Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems - Couverture souple

Murawski, Roman

 
9789048152988: Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems
Couverture souple
ISBN 10 : 9048152984 ISBN 13 : 9789048152988
Editeur : Springer, 2010

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

Rod Adams received his PhD from the School of Information Sciences at The Hatfield Polytechnique under the supervision of Dr. Dale Johnson. Dr. Adams is currently a Professor of Neural Computation at the University of Hertfordshire.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
9048152984
ISBN 13 
9789048152988
Reliure
Broché
Nombre de pages
412
Coordonnées du fabricant
non disponible
Personne responsable
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Hamburg
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Autres éditions populaires du même titre

9780792359043: Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel's Theorems

Edition présentée

ISBN 10 :  0792359046 ISBN 13 :  9780792359043
Editeur : Kluwer Academic Publishers, 1999
Couverture rigide