Tour Through Mathematical Logic

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Overview

The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gödel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.
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What People Are Saying

Martin Davis
"Bob Wolf is your amiable guide to revealing the achievements and methods of contemporary mathematical logic in this enjoyable account that hits the highlights while omitting the messy details"
Professor Emeritus, New York University
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Product Details

  • ISBN-13: 9780883850367
  • Publisher: Mathematical Association of America
  • Publication date: 8/28/2004
  • Series: Spectrum Series
  • Edition description: New Edition
  • Pages: 408
  • Product dimensions: 5.70 (w) x 8.40 (h) x 1.10 (d)

Table of Contents

1. Predicate logic; 2. Set theory; 3. Recursion theory and computability; 4. Model theory; 5. Independence results in set theory; 6. Nonstandard analysis; 7. Constructive mathematics; Appendix A. A deductive system for first-order logic; Appendix B. Relations and orderings; Appendix C. Cardinal arithmetic; Bibliography; Index.
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