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...
Main Author: | |
---|---|
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