Naive Set Theory [Softcover reprint of the original 1st ed. 1974] 0387901043, 978-0-387-90104-6, 9780486821153, 0486821153, 978-1-4757-1645-0

Every mathematician agrees that every mathematician must know some set theory; the disagreement begins in trying to deci

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English Pages 104 [112] Year 1974

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Naive Set Theory [Softcover reprint of the original 1st ed. 1974]
0387901043, 978-0-387-90104-6, 9780486821153, 0486821153, 978-1-4757-1645-0

Author / Uploaded
Halmos
Paul Richard

Table of contents :
Front Matter....Pages i-vii
The Axiom of Extension....Pages 1-3
The Axiom of Specification....Pages 4-7
Unordered Pairs....Pages 8-11
Unions and Intersections....Pages 12-16
Complements and Powers....Pages 17-21
Ordered Pairs....Pages 22-25
Relations....Pages 26-29
Functions....Pages 30-33
Families....Pages 34-37
Inverses and Composites....Pages 38-41
Numbers....Pages 42-45
The Peano Axioms....Pages 46-49
Arithmetic....Pages 50-53
Order....Pages 54-58
The Axiom of Choice....Pages 59-61
Zorn’s Lemma....Pages 62-65
Well Ordering....Pages 66-69
Transfinite Recursion....Pages 70-73
Ordinal Numbers....Pages 74-77
Sets of Ordinal Numbers....Pages 78-80
Ordinal Arithmetic....Pages 81-85
The Schröder-Bernstein Theorem....Pages 86-89
Countable Sets....Pages 90-93
Cardinal Arithmetic....Pages 94-98
Cardinal Numbers....Pages 99-102
Back Matter....Pages 102-104

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