Set Theory and Its Logic: Revised Edition - Softcover

Quine, Willard Van Orman

Softcover

ISBN 10: 0674802071 ISBN 13: 9780674802070

Publisher: Belknap Press: An Imprint of Harvard University Press, 1971

Synopsis

This is an extensively revised edition of Mr. Quine's introduction to abstract set theory and to various axiomatic systematizations of the subject. The treatment of ordinal numbers has been strengthened and much simplified, especially in the theory of transfinite recursions, by adding an axiom and reworking the proofs. Infinite cardinals are treated anew in clearer and fuller terms than before.

Improvements have been made all through the book; in various instances a proof has been shortened, a theorem strengthened, a space-saving lemma inserted, an obscurity clarified, an error corrected, a historical omission supplied, or a new event noted.

About this title

About the Author

W. V. Quine was Edgar Pierce Professor of Philosophy, Harvard University. He wrote twenty-one books, thirteen of them published by Harvard University Press.

Review

This revision of an important and lucid account of the various systems of axiomatic set theory preserves the basic format and essential ingredients of its highly regarded original...There have, however, been a number of important changes, generally in the interest of greater elegance and clarity...a generally improved version of an originally masterful and brilliant work. (Review of Metaphysics)

This is the masterpiece one would have expected it to be. For the expert it is a fresh and elegant treatise, brimming deliciously with new ideas and insights. For the beginner it is a brilliant gem of exposition, rendering a host of abstruse arguments crystal clear. For all it is a smooth and exciting journey to a vivid and comprehensive view of the alternative foundations of classical mathematics. (Joseph S. Ullian Philosophical Review)

Perhaps the most concise and readable general survey of axiomatic set theory at present available...Suitable reading not only for mathematics students...but also for philosophers with an interest in the foundations of mathematics. An excellent index and system of numbering formulae make it also a useful reference book. (A. A. Treherne Proceedings of the Edinburgh Mathematical Society)

This book is most remarkable for its way of presenting the subject matter. A definite system of set theory is offered, but at the same time alternative ways are indicated and partly explored at every turn...The book is also remarkable for its style. Pithy, with never an unnecessary word (but with every necessary one), at times witty, the book is written in a way that is a great relief from ordinary textbooks. Quine's books always have style, but I consider this as one of the most successful from this point of view. (Jean van Heijenoort)

Edition details

• Publisher: Belknap Press: An Imprint of Harvard University Press
• Publication date: 1971
• ISBN 10: 0674802071
• ISBN 13: 9780674802070
• Binding: Paperback
• Language: English
• Edition number: 2
• Number of pages: 380