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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.
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.
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.)"
P. J. Cameron, J. H. van Lint, P. J. (Queen Mary University of London) Cameron, The Netherlands) Lint, J. H. van (Technische Universiteit Eindhoven, J. H. Van Lint, Peter J. Cameron
P. J. Cameron, J. H. van Lint, P. J. (Queen Mary University of London) Cameron, The Netherlands) Lint, J. H. van (Technische Universiteit Eindhoven, Peter J. Cameron, J. H. Van Lint