Notes on Set Theory
β Scribed by Yiannis N. Moschovakis (auth.)
- Publisher
- Springer New York
- Year
- 1994
- Tongue
- English
- Leaves
- 280
- Series
- Undergraduate Texts in Mathematics
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Front Matter....Pages i-xiv
Introduction....Pages 1-5
Equinumerosity....Pages 7-18
Paradoxes and Axioms....Pages 19-32
Are Sets All There is?....Pages 33-51
The Natural Numbers....Pages 53-72
Fixed Points....Pages 73-92
Well Ordered Sets....Pages 93-115
Choices....Pages 117-129
Choiceβs Consequences....Pages 131-146
Baire Space....Pages 147-168
Replacement and Other Axioms....Pages 169-188
Ordinal Numbers....Pages 189-208
Back Matter....Pages 209-273
β¦ Subjects
Mathematical Logic and Foundations
π SIMILAR VOLUMES
<P>The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. It is also viewed as a foundation of mathematics so that ''to make a notion precise'' simply means ''to define it in set theory.'' This book gives a solid i
The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. It is also viewed as a foundation of mathematics so that "to make a notion precise" simply means "to define it in set theory." This book gives a solid introduc
The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. It is also viewed as a foundation of mathematics so that "to make a notion precise" simply means "to define it in set theory." This book gives a solid introduc