Author	Cameron, Peter J. author
Title	Sets, Logic and Categories [electronic resource] / by Peter J. Cameron
Imprint	London : Springer London : Imprint: Springer, 1998
Connect to	http://dx.doi.org/10.1007/978-1-4471-0589-3
Descript	X, 182 p. online resource

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, Gรถdel'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

1. Naรฏve 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

1. Mathematics
2. Category theory (Mathematics)
3. Homological algebra
4. K-theory
5. Mathematical logic
6. Mathematics
7. Mathematical Logic and Foundations
8. Category Theory
9. Homological Algebra
10. K-Theory