| Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel's Theorems Contributor(s): Murawski, Roman (Author) |
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ISBN: 9048152984 ISBN-13: 9789048152988 Publisher: Springer OUR PRICE: $161.49 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Philosophy | Logic - Mathematics | Logic - Science | Philosophy & Social Aspects |
| Dewey: 511.35 |
| Series: Synthese Library (Paperback) |
| Physical Information: 0.84" H x 6.14" W x 9.21" (1.25 lbs) 395 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
