References
Naive Set Theory
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Preface by the Editors
Preface by the Author
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
20
Sets of Ordinal Numbers
21
Ordinal Arithmetic
22
The Schröder-Bernstein Theorem
23
Countable Sets
24
Cardinal Arithmetic
25
Cardinal Numbers
References
References
[1]
P. C. Suppes,
Axiomatic
Set
Theory
, 1st ed. in University
Series
in
Undergraduate
Mathematics
. Princeton, New Jersey: D. Van Nostrand Company, Inc., 1960.
25
Cardinal Numbers