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A course in mathematical logic for mathematicians /
"A Course in Mathematical Logic for Mathematicians, Second Edition offers a straightforward introduction to modern mathematical logic that will appeal to the intuition of working mathematicians. The book begins with an elementary introduction to formal languages and proceeds to a discussion of...
Main Author: | |
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Other Authors: | , |
Format: | Printed Book |
Language: | English Russian |
Published: |
New York :
Springer,
2010.
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Edition: | 2nd ed. |
Series: | Graduate texts in mathematics ;
53. |
Subjects: |
Table of Contents:
- Provability: I. Introduction to formal languages ; II. Truth and deducibility ; III. The continuum problem and forcing ; IV. The continuum problem and constructible sets
- Computability: V. Recursive functions and Church's thesis ; VI. Diophantine sets and algorithmic undecidability
- Provability and computability: VII. Gödel's incompleteness theorem ; VIII. Recursive groups ; IX. Constructive universe and computation
- Model theory: X. Model theory.