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Recursive Functions and Metamathematics

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Recursive Functions and Metamathematics 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.

About This Edition

ISBN: 9780792359043
Publication date:
Author: Roman Murawski
Publisher: Springer an imprint of Springer Netherlands
Format: Hardback
Pagination: 395 pages
Series: Synthese Library
Genres: Philosophy: logic
Mathematical logic
Philosophy of science
Mathematical theory of computation
Mathematical foundations