Articles liés à Foundations of Set Theory
Synopsis
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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Présentation de l'éditeur
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.
Revue de presse
"...this book is a masterly survey of its field. It is lucid and concise on a technical level, it covers the historical ground admirably, and it gives a sensible account of the various philosophical positions associated with the development of the subject... essential reading for any mathematician or philosopher." --British Journal for the Philosophy of Science
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurNorth-Holland Publishing Co
- Date d'édition1973
- ISBN 10 0720422701
- ISBN 13 9780720422702
- ReliureRelié
- Langueanglais
- Numéro d'édition2
- Nombre de pages412
- Coordonnées du fabricantnon disponible
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Foundations of Set Theory (Volume 67) (Studies in Logic and the Foundations of Mathematics, Volume 67) Fraenkel, A.A.; Bar-Hillel, Y. and Levy, A.
Edité par
North Holland, 1973
ISBN 10 : 0720422701
ISBN 13 : 9780720422702
Ancien ou d'occasion
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Etat : gebraucht; sehr gut. Auflage 1973, Hardcover mit Schutzumschlag, dieser mit minimalen Spuren, ein alter Namensstempel am Vorsatzblatt, ansonsten wie ungebraucht. N° de réf. du vendeur 553-2-48
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Foundations of Set Theory (Volume 67) (Studies in Logic and the Foundations of Mathematics, Volume 67)
Edité par
North Holland, 1973
ISBN 10 : 0720422701
ISBN 13 : 9780720422702
Ancien ou d'occasion
Couverture rigide
Vendeur : ThriftBooksVintage, Tukwila, WA, Etats-Unis
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Hardcover. Etat : Good. No Jacket. 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. 1.75. N° de réf. du vendeur 1048706649
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Foundations of Set Theory (Volume 67) (Studies in Logic and the Foundations of Mathematics (Volume 67))
Edité par
North Holland, 1973
ISBN 10 : 0720422701
ISBN 13 : 9780720422702
Ancien ou d'occasion
Couverture rigide
Vendeur : Salish Sea Books, Bellingham, WA, Etats-Unis
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Hardcover. Etat : Good. 0720422701 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. N° de réf. du vendeur SKU-O4705311243
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Foundations of Set Theory, Volume 67, Second Edition (Studies in Logic and the Foundations of Mathematics)
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Hardcover. Etat : New. In shrink wrap. Looks like an interesting title! N° de réf. du vendeur Q-0720422701
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Foundations of Set Theory (Volume 67) (Studies in Logic and the Foundations of Mathematics, Volume 67)
Edité par
North Holland, 1973
ISBN 10 : 0720422701
ISBN 13 : 9780720422702
Ancien ou d'occasion
Couverture rigide
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hardcover. Etat : Good. Good. book. N° de réf. du vendeur D8S0-3-M-0720422701-3
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Foundations of Set Theory (Volume 67) (Studies in Logic and the Foundations of Mathematics, Volume 67)
Vendeur : Toscana Books, AUSTIN, TX, Etats-Unis
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Hardcover. Etat : new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. N° de réf. du vendeur Scanned0720422701
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