Sets, Logic and Categories

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 a...

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Bibliographic Details
Main Author: Cameron, Peter J.
Format: eBook
Language:English
Published: London Springer London 1998, 1998
Edition:1st ed. 1998
Series:Springer Undergraduate Mathematics Series
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1. Naïve set theory
  • 2. Ordinal numbers
  • 3. Logic
  • 4. First-order logic
  • 5. Model theory
  • 6. Axiomatic set theory
  • 7. Categories
  • 8. Where to from here?
  • Solutions to selected exercises
  • References