An Introduction to Set Theory
β Scribed by W. Weiss
- Publisher
- William A. R. Weiss
- Year
- 2008
- Tongue
- English
- Leaves
- 119
- Edition
- 1st
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
A comprehensive but logical first exposure to set theory.
β¦ Table of Contents
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
π SIMILAR VOLUMES
<p><p>What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner