Equinumerosity.- Paradoxes and Axioms.- Are Sets All There is?.- The Natural Numbers.- Fixed Points.- Well Ordered Sets.- Choices.- Choice’s Consequences.- Baire Space.- Replacement and Other Axioms.- Ordinal Numbers.
About the First Edition: This is a sophisticated undergraduate set
theory text, brimming with mathematics, and packed with elegant
proofs, historical explanations, and enlightening exercises, all
presented at just the right level for a first course in set
theory.
- Joel David Hamkins, Journal of Symbolic Logic This is an
excellent introduction to axiomatic set theory, viewed both as a
foundation of mathematics and as a branch of mathematics with its
own subject matter, basic results, open problems.
- Achille C. Varzi, History and Philosophy of Logic
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