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Sets, Logic and Categories

  • Peter J. Cameron

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-x
  2. Peter J. Cameron
    Pages 1-36
  3. Peter J. Cameron
    Pages 37-54
  4. Peter J. Cameron
    Pages 55-78
  5. Peter J. Cameron
    Pages 79-94
  6. Peter J. Cameron
    Pages 95-112
  7. Peter J. Cameron
    Pages 113-140
  8. Peter J. Cameron
    Pages 141-154
  9. Peter J. Cameron
    Pages 155-160
  10. Back Matter
    Pages 161-180

About this book

Introduction

Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.

Keywords

category theory compactness theorem model theory set theory

Authors and affiliations

  • Peter J. Cameron
    • 1
  1. 1.School of Mathematical SciencesQueen Mary and Westfield CollegeLondonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0589-3
  • Copyright Information Springer-Verlag London Limited 1998
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-056-9
  • Online ISBN 978-1-4471-0589-3
  • Series Print ISSN 1615-2085
  • Buy this book on publisher's site