9780792359043 - Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel?s Theorems (Synthese Library, 286, Band 286) von Murawski, Roman (4 Ergebnisse)

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Buch. Zustand: 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.

Zustand: New. Deals with problems of the completeness and decidability of theories, using as its main tool the theory of recursive functions. This book considers the historical and philosophical context of these issues and their philosophical and methodological consequences. It is intended for advanced students of logic, mathematics, philosophy of science. Series: Synthese Library. Num Pages: 395 pages, biography. BIC Classification: PBB; PBCD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 234 x 156 x 23. Weight in Grams: 737. . 1999. Hardback. . . . . Books ship from the US and Ireland.