Naive Set Theory by Paul R. Halmos
A concise, rigorous introduction to the foundations of axiomatic set theory, presenting the basic axioms and operations on sets, relations, and functions, and developing the ideas of cardinality and ordinal numbers. It explains countability and uncountability, transfinite induction and recursion, and the equivalence of the axiom of choice, Zorn’s lemma, and the well-ordering theorem, with clear proofs and informal commentary. Designed to equip readers with essential tools for modern mathematics, it emphasizes clarity and intuition while remaining mathematically precise.
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- Published
- 1960
- Nationality
- American
- Length
- Very Short
- Pages
- 100-120
- Original Language
- English
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