Set Theory and Its Logic

by Willard Van Orman Quine

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.

Genres: Philosophy, Mathematics, Nonfiction, Logic, Science

380 pages, Paperback

First published January 1, 1969

About the author

"Willard Van Orman Quine (June 25, 1908 Akron, Ohio – December 25, 2000) (known to intimates as "Van"), was an American analytic philosopher and logician. From 1930 until his death 70 years later, Quine was affiliated in some way with Harvard University, first as a student, then as a professor of philosophy and a teacher of mathematics, and finally as an emeritus elder statesman who published or revised seven books in retirement. He filled the Edgar Pierce Chair of Philosophy at Harvard, 1956-78. Quine falls squarely into the analytic philosophy tradition while also being the main proponent of the view that philosophy is not conceptual analysis. His major writings include "Two Dogmas of Empiricism", which attacked the distinction between analytic and synthetic propositions and advocated a form of semantic holism, and Word and Object which further developed these positions and introduced the notorious indeterminacy of translation thesis." - http://en.wikipedia.org/wiki/Willard_...

Reviews

[Franklin · Rating 4 out of 5]

See his Mathematical Logic, which I read at the same time. Like that, I consider it a math book, not philosophy.

[Daniel · Rating 5 out of 5]

This book will change you