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Set Theory with a Universal Set: Exploring an Untyped Universe: 31 (Oxford Logic Guides) - Hardcover
Inhaltsangabe
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 - the universal 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 computer science.
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 a useful and readable introduction for those interested in this topic, and a reference work for those already involved in this area.
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Über die Autorin bzw. den Autor
Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
Von der hinteren Coverseite
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.
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- VerlagOUP Oxford
- Erscheinungsdatum1995
- ISBN 10 0198514778
- ISBN 13 9780198514770
- EinbandTapa dura
- SpracheEnglisch
- Auflage2
- Anzahl der Seiten180
- Kontakt zum HerstellerNicht verfügbar
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Set Theory with a Universal Set (Hardcover)
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ISBN 10: 0198514778
ISBN 13: 9780198514770
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Hardcover. Zustand: 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. Bestandsnummer des Verkäufers 9780198514770
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Set Theory with a Universal Set (Hardcover)
Verlag:
Oxford University Press, Oxford, 1995
ISBN 10: 0198514778
ISBN 13: 9780198514770
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Hardcover
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Hardcover. Zustand: 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 UK warehouse or from our Australian or US warehouses, depending on stock availability. Bestandsnummer des Verkäufers 9780198514770
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Set Theory with a Universal Set
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