Potter M. Set Theory and its Philosophy

Springer, 2014. — 442 p. — ISBN: 1461488532, 9781461488538 What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner. To allow flexibility of...

3 Volume Set. — Springer, 2010. — 2212 p. — ISBN 1402048432, 9781402057649. This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematics with foundational significance, and the expanse and variety of this...

Princeton University Press, 2008. — 1056 p. — ISBN 978-0-691-11880-2. The Princeton Companion to Mathematics by T. Gowers, J. Barrow-Green, I. Leader. This is an unusual book targeting a broad audience ranging from (even young) fans curious about the present state of mathematics to the professional mathematicians seeking to have a glimpse at the areas of mathematics not...

Springer, 2006. — 772 pages. Set Theory has experienced a rapid development in recent years, with major advances in forcing, inner models, large cardinals and descriptive set theory. The present book covers each of these areas, giving the reader an understanding of the ideas involved. It can be used for introductory students and is broad and deep enough to bring the reader near...

Wiley, 2015. — 464 p. — ISBN: 0470905883 A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and...

Dover Publications, 2014. — 445 p. — eISBN-13: 978-0-486-79549-2, English. Interactive menu. [A revised and corrected republication of Set Theory, originally published in 1971 by Addison-Wesley Publishing Company, Reading, Massachusetts. This book has been reprinted with the cooperation of Kyung Moon Publishers, South Korea]. This accessible approach to set theory for...