Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems
Author:   Roman Murawski
Publisher:   Springer
Edition:   1999 ed.
Volume:   286
ISBN:  

9780792359043


Pages:   395
Publication Date:   30 September 1999
Format:   Hardback
Availability:   In Print   Availability explained
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Recursive Functions and Metamathematics: Problems of Completeness and Decidability, Gödel’s Theorems


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Overview

This text 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 Godel'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.

Full Product Details

Author:   Roman Murawski
Publisher:   Springer
Imprint:   Springer
Edition:   1999 ed.
Volume:   286
Dimensions:   Width: 15.60cm , Height: 2.30cm , Length: 23.40cm
Weight:   1.630kg
ISBN:  

9780792359043


ISBN 10:   0792359046
Pages:   395
Publication Date:   30 September 1999
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

1 Recursive Functions.- 2 Gödel’s Incompleteness Theorems.- 3 Decidability Theory.- 4 Philosophical Comments.- List of Symbols.

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