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Naïve Set Theory
Paul R. Halmos
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MAA ReviewsNaïve Set TheoryPaul R. Halmos
Table of ContentsPreface. 1: The Axiom of Extension. 2: The Axiom of Specification. 3: Unordered Pairs. 4: Unions and Intersections. 5: Complements and Powers. 6: Ordered Pairs. 7: Relations. 8: Functions. 9: Families. 10: Inverses and Composites. 11: Numbers. 12: The Peano Axioms. 13: Arithmetic. 14: Order. 15: The Axiom of Choice. 16: Zorn's Lemma. 17: Well Ordering. 18: Transfinite Recursion. 19: Ordinal Numbers. 2: Sets of Ordinal Numbers. 21: Ordinal Arithmetic. 22: The Schr�der-Bernstein Theorem. 23: Countable Sets. 24: Cardinal Arithmetic. 25: Carnidal numbers. |