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An Introduction to Set Theory

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A comprehensive but logical first exposure to set theory.

Author(s): W. Weiss
Edition: 1st
Publisher: William A. R. Weiss
Year: 2008

Language: English
Pages: 119

0 Introduction
7
1 LOST 11
2 FOUND 19
3 The Axioms of Set Theory 23
4 The Natural Numbers 31
5 The Ordinal Numbers 41
6 Relations and Orderings 53
7 Cardinality 59
8 There Is Nothing Real About The Real Numbers 65
9 The Universe 73
3
4
CONTENTS
10 Reflection 79
11 Elementary Submodels 89
12 Constructibility 101
13 Appendices 117
.1 The Axioms of ZFC . . . . . . . . . . . . . . . . . . . . . . . . 117
.2 Tentative Axioms . . . . . . . . . . . . . . . . . . . . . . . . . 11