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Mathematics Logic

Mathematical Logic: A Course with Exercises Part 2

Recursion Theory, Godel's Theorems, Set Theory, Model Theory

by (author) René Cori & Daniel Lascar

translated by Donald Pelletier

Publisher
Oxford University Press
Initial publish date
Apr 2001
Category
Logic
  • Hardback

    ISBN
    9780198500513
    Publish Date
    Apr 2001
    List Price
    $336.00
  • Paperback / softback

    ISBN
    9780198500506
    Publish Date
    Apr 2001
    List Price
    $165.00

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Description

Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. It is a major element in theoretical computer science and has undergone a huge revival with the every- growing importance of computer science. This text is based on a course to undergraduates and provides a clear and accessible introduction to mathematical logic. The concept of model provides the underlying theme, giving the text a theoretical coherence whilst still covering a wide area of logic. The foundations having been laid in Part I, this book starts with recursion theory, a topic essential for the complete scientist. Then follows Godel's incompleteness theorems and axiomatic set theory. Chapter 8 provides an introduction to model theory. There are examples throughout each section, and varied selection of exercises at the end. Answers to the exercises are given in the appendix.

About the authors

Contributor Notes

René Cori is at Université Paris VII. Daniel Lascar is at Université Paris VII. Donald Pelletier is at York University, Toronto and Université Paris VII.

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