Notes on set theory
By: Yiannis Moschovakis.
Series: Undergraduate texts in mathematics
Publisher: Springer-Verlag
Published: 1994
Place of publication: New York
Language: eng
Number of pages: 272
Subjects: Set theory.
Description: The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book tries to do justice to both aspects of the subject: it gives a solid introduction to "pure set theory" through transfinite recursion and the construction of the cumulative hierarchy of sets (including the basic results that have applications to computer science), but it also attempts to explain precisely how mathematical objects can be faithfully modeled within the universe of sets.
Notes: Includes index.