Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and ...
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Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.
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Add this copy of Foundations of Set Theory to cart. $105.03, good condition, Sold by Midtown Scholar Bookstore rated 5.0 out of 5 stars, ships from Harrisburg, PA, UNITED STATES, published 1958 by North-Holland Publishing Company.
Add this copy of Foundations of Set Theory to cart. $111.73, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2012 by North Holland.
Add this copy of Foundations of Set Theory (Volume 67) (Studies in Logic to cart. $146.00, good condition, Sold by ThriftBooks-Baltimore rated 4.0 out of 5 stars, ships from Halethorpe, MD, UNITED STATES, published 1973 by North Holland.
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Seller's Description:
Good. Revised edition. Shelf and handling wear to cover and binding, with general signs of previous use. Wear commensurate with age and use. Former owner's name in ink on front endpaper. Sparse annotations and underlining in pencil throughout text. Dust jacket wrapped in protective mylar sleeve. Secure packaging for safe delivery.
Add this copy of Foundations of Set Theory to cart. $154.46, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Hialeah, FL, UNITED STATES, published 2012 by North Holland.
Add this copy of Foundations of Set Theory (Volume 67) (Studies in Logic to cart. $224.95, good condition, Sold by Salish Sea Books rated 5.0 out of 5 stars, ships from Bellingham, WA, UNITED STATES, published 1973 by North Holland Publishing.
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Seller's Description:
Good; Hardcover; 2nd Edition; 1973, North Holland Publishing; Former library copy with standard library markings; Moderate wear to covers; Library stamps to endpapers; Text pages clean & unmarked; Good binding with straight spine; Yellow cloth covers with title in gold lettering along spine; 412 pages; "Foundations of Set Theory, Second Edition (Studies in Logic and the Foundations of Mathematics), " by A.A. Fraenkel, et al.
Add this copy of Foundations of Set Theory, Volume 67, Second Edition to cart. $336.38, new condition, Sold by GridFreed rated 5.0 out of 5 stars, ships from North Las Vegas, NV, UNITED STATES, published 1973 by North Holland.
This book is a classic in the field, presenting thoroughly the major principles of set theory. It is one of the best places to get a rigorous introduction to set theory, as well as information on different axiomatisations thereof (Zermelo-Fraenkel, von Neumann-Bernays, and others). For a review of the state of the art of set theory in the 21st century, look elsewhere; but for the fundamental ideas and results, this is an unsurpassed reference work. It is probably not appropriate for use as a self-study book, but rather as a companion to a rigorous course in the topic, or perhaps for independent reading for readers with strong mathematical aptitude and some background in logic.
