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An Introduction to Set Theory

✍ Scribed by W. Weiss


Publisher
William A. R. Weiss
Year
2008
Tongue
English
Leaves
119
Edition
1st
Category
Library

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✦ Synopsis


A comprehensive but logical first exposure to set theory.

✦ 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


πŸ“œ SIMILAR VOLUMES


Set Theory: With an Introduction to Real
✍ Abhijit Dasgupta (auth.) πŸ“‚ Library πŸ“… 2014 πŸ› BirkhΓ€user Basel 🌐 English

<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