Lectures in Logic and Set Theory, Volume 2

Set Theory
Erscheinungsjahr 2010
ISBN: 978-0-521-16848-9
Verlag: Cambridge University Press

Buch, Englisch, Band 83, 592 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 949 g

Reihe: Cambridge Studies in Advanced Mathematics

This two-volume 2003 work bridges the gap between introductory expositions of logic or set theory on one hand, and the research literature on the other. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly conversational lecture style that makes them equally effective for self-study or class use. Volume II, on formal (ZFC) set theory, incorporates a self-contained 'chapter 0' on proof techniques so that it is based on formal logic, in the style of Bourbaki. The emphasis on basic techniques will provide the reader with a solid foundation in set theory and provides a context for the presentation of advanced topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing.

Autoren/Hrsg.

Tourlakis, George

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

Preface
1. A bit of logic: a user's toolbox
2. The set-theoretic universe, naively
3. The axioms of set theory
4. The axiom of choice
5. The natural numbers
transitive closure
6. Order
7. Cardinality
8. Forcing
Bibliography
List of symbols
Index.