Recursive Functions and Metamathematics - Problems of Completeness and Decidability, Goedel's Theorems (Paperback, Softcover reprint of hardcover 1st ed. 1999)

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 G del'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.

General

Imprint:	Springer
Country of origin:	Netherlands
Series:	Synthese Library, 286
Release date:	December 2010
First published:	1999
Authors:	Roman Murawski
Dimensions:	235 x 155 x 21mm (L x W x T)
Format:	Paperback
Pages:	395
Edition:	Softcover reprint of hardcover 1st ed. 1999
ISBN-13:	978-90-481-5298-8
Categories:	Books > Science & Mathematics > Science: general issues > Philosophy of science Books > Computing & IT > General theory of computing > General Books > Computing & IT > Applications of computing > General Books > Humanities > Philosophy > Topics in philosophy > Logic Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Philosophy > Topics in philosophy > Logic
LSN:	90-481-5298-4
Barcode:	9789048152988

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