Cart
Free Shipping in Australia
Proud to be B-Corp

Notes on Set Theory Yiannis Moschovakis

Notes on Set Theory By Yiannis Moschovakis

Notes on Set Theory by Yiannis Moschovakis


Summary

The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems.

Notes on Set Theory Summary

Notes on Set Theory by Yiannis Moschovakis

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 introduction to pure set theory through transfinite recursion and the construction of the cumulative hierarchy of sets, and also attempts to explain how mathematical objects can be faithfully modeled within the universe of sets. In this new edition the author has added solutions to the exercises, and rearranged and reworked the text to improve the presentation.

Notes on Set Theory Reviews

About the First Edition:

This is a sophisticated undergraduate set theory text, brimming with mathematics, and packed with elegant proofs, historical explanations, and enlightening exercises, all presented at just the right level for a first course in set theory.
- Joel David Hamkins, Journal of Symbolic Logic

This is an excellent introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems.
- Achille C. Varzi, History and Philosophy of Logic

Table of Contents

Introduction * Equinumerosity * Paradoxes and axioms * Are sets all there is? * The natural numbers * Fixed points * Well ordered sets * Choices * Choice's consequences * Baire space * Replacement and other axioms * Ordinal numbers * A. The real numbers * B. Axioms and universes * Index

Additional information

CIN0387287221A
9780387287225
0387287221
Notes on Set Theory by Yiannis Moschovakis
Used - Well Read
Hardback
Springer-Verlag New York Inc.
20051221
278
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book. We do our best to provide good quality books for you to read, but there is no escaping the fact that it has been owned and read by someone else previously. Therefore it will show signs of wear and may be an ex library book

Customer Reviews - Notes on Set Theory