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Synopsis
Increasing interest in set theory, particularly the possibility of a set of all sets ("universal set"), has been stimulated by its relevance to computer science. This new edition, drawing heavily on Quine's theories as introduced in New Foundations, provides an accessible introduction of universal set theory to mathematicians, logicians, and philosophers. Included are expanded accounts of the set theories of Church, Oswald and Mitchell, with descriptions of permutation models and extensions that preserve power
"synopsis" may belong to another edition of this title.
From the Back Cover
This book is an essay: not a monograph, or a textbook, but an essay. It is intended to be a good read for those people who are already interested in this topic (or think they might be interested in it) rather than a comprehensive treatment for people who wish to master it, and a reference work for people who already have.
About the Author
T. E. Forster is at University of Cambridge.
"About this title" may belong to another edition of this title.
- PublisherClarendon Press
- Publication date1995
- ISBN 10 0198514778
- ISBN 13 9780198514770
- BindingHardcover
- LanguageEnglish
- Edition number2
- Number of pages176
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Set Theory with a Universal Set: Exploring an Untyped Universe (Oxford Logic Guides, 31)
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Set Theory with a Universal Set: Exploring an Untyped Universe: 31 (Oxford Logic Guides)
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Set Theory with a Universal Set (Hardcover)
Published by
Oxford University Press, Oxford, 1995
ISBN 10: 0198514778
ISBN 13: 9780198514770
New
Hardcover
Seller: AussieBookSeller, Truganina, VIC, Australia
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Hardcover. Condition: new. Hardcover. Set theory is concerned with the foundation of mathematics. In the original formulations of set theory, there were paradoxes contained in the idea of the "set of all sets". Current standard theory (Zermelo-Fraenkel) avoids these paradoxes by restricting the way sets may be formed by other sets, specifically to disallow the possibility of forming the set of all sets. In the 1930s, Quine proposed a different form of set theory in which the set of all sets - theuniversal set - is allowed, but other restrictions are placed on these axioms. Since then, the steady interest expressed in these non-standard set theories has been boosted by their relevance to computerscience.The second edition still concentrates largely on Quine's New Foundations, reflecting the author's belief that this provides the richest and most mysterious of the various systems dealing with set theories with a universal set. Also included is an expanded and completely revised account of the set theories of Church-Oswald and Mitchell, with descriptions of permutation models and extensions that preserve power sets. Dr Foster here presents the reader with auseful and readable introduction for those interested in this topic, and a reference work for those already involved in this area. An expanded and revised edition of the introductory text, which can be used as a reference resource for those already working in the field. Forster focuses on Quine's original work, and has written a revised account of the set theories of Church-Oswald and Mitchell, with permutation models and extensions that preserve power sets. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198514770
Quantity: 1 available
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Set Theory with a Universal Set (Hardcover)
Published by
Oxford University Press, Oxford, 1995
ISBN 10: 0198514778
ISBN 13: 9780198514770
New
Hardcover
Seller: Grand Eagle Retail, Fairfield, OH, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. Set theory is concerned with the foundation of mathematics. In the original formulations of set theory, there were paradoxes contained in the idea of the "set of all sets". Current standard theory (Zermelo-Fraenkel) avoids these paradoxes by restricting the way sets may be formed by other sets, specifically to disallow the possibility of forming the set of all sets. In the 1930s, Quine proposed a different form of set theory in which the set of all sets - theuniversal set - is allowed, but other restrictions are placed on these axioms. Since then, the steady interest expressed in these non-standard set theories has been boosted by their relevance to computerscience.The second edition still concentrates largely on Quine's New Foundations, reflecting the author's belief that this provides the richest and most mysterious of the various systems dealing with set theories with a universal set. Also included is an expanded and completely revised account of the set theories of Church-Oswald and Mitchell, with descriptions of permutation models and extensions that preserve power sets. Dr Foster here presents the reader with auseful and readable introduction for those interested in this topic, and a reference work for those already involved in this area. An expanded and revised edition of the introductory text, which can be used as a reference resource for those already working in the field. Forster focuses on Quine's original work, and has written a revised account of the set theories of Church-Oswald and Mitchell, with permutation models and extensions that preserve power sets. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198514770
Quantity: 1 available