Recursive Functions and Metamathematics
Problems of Completeness and Decidability, Gödel's Theorems
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Author
Publication
1999 - Springer Netherlands, Dordrecht, Netherlands
Language
English
Word Count
98,750 words, Guess
Page Count
395 pages
Physical Format
Electronic resource
Identifiers
- Internet Archiverecursivefunctio00mura
- ISBN-109048152984
- ISBN-109401728666
- ISBN-139789048152988
- ISBN-139789401728669
and 4 more
- OCLC Control Number851363603
- Better World Books9789048152988
- Better World Books9789401728669
- Open LibraryOL27084889M
Classifications
- DDC160
- LCCBC1-199
- LCCB1-5802
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 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.
Subjects
Topics
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