Notes on Set Theory

2. Auflage 2006
ISBN: 978-0-387-28723-2
Verlag: Springer

Buch, Englisch, 278 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 446 g

Reihe: Undergraduate Texts in Mathematics

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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Moschovakis, Yiannis

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Logik, formale Sprachen, Automaten
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

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.