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Sets, Logic and Categories

  • Textbook
  • © 1998

Overview

Authors:
  1. Peter J. Cameron

    1. School of Mathematical Sciences, Queen Mary and Westfield College, London, UK

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  • Peter Cameron is a well-known mathematician with an excellent reputation, both as a teacher and as a researcher.
  • The book proposal has had very good reviews and should sell well even though it is a high level text because of Cameron's reputation in the field.
  • The book is a third level text, but this is a relatively popular option for many mathematics students, not least because of the connection between this subject and computational science.
  • Includes supplementary material: sn.pub/extras

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Naïve set theory

    • Peter J. Cameron
    Pages 1-36

  3. Ordinal numbers

    • Peter J. Cameron
    Pages 37-54

  4. Logic

    • Peter J. Cameron
    Pages 55-78

  5. First-order logic

    • Peter J. Cameron
    Pages 79-94

  6. Model theory

    • Peter J. Cameron
    Pages 95-112

  7. Axiomatic set theory

    • Peter J. Cameron
    Pages 113-140

  8. Categories

    • Peter J. Cameron
    Pages 141-154

  9. Where to from here?

    • Peter J. Cameron
    Pages 155-160

  10. Back Matter

    Pages 161-180
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Keywords

About this book

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.

Reviews

From the reviews:

BULLETIN OF MATHEMATICS BOOKS

"…a well written introduction to logic, with a good dose of set theory (introduction to ordinals and cardinals) and a small dose of categories at the end. (I read this one cover to cover.)"

Authors and Affiliations

  • School of Mathematical Sciences, Queen Mary and Westfield College, London, UK

    Peter J. Cameron

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