Set Theory: An Introduction to Independence Proofs (Studies in Logic and the Foundations of Mathematics)

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9780444868398: Set Theory: An Introduction to Independence Proofs (Studies in Logic and the Foundations of Mathematics)
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Book by Kenneth Kunen

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Reseña del editor:

Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing.

The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions.

The manuscript is a dependable source of information for mathematicians and researchers interested in set theory.

Reseña del editor:

Many branches of abstract mathematics have been affected by the modern independence proofs in set theory. This book provides an introduction to relative consistency proofs in axiomatic set theory, and is intended to be used as a text in beginning graduate courses in that subject. It is hoped that this treatment will make the subject accessible to those mathematicians whose research is sensitive to axiomatics. The readers should have had the equivalent of an undergraduate course on cardinals and ordinals, but no specific training in logic is necessary. The volume includes a discussion of modern techniques in forcing, as well as coverage of infinitary combinatorics and its relevance to independence proofs. The work also features a lucid treatment of basic facts about constructibility.

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Kenneth Kunen
Publicado por ELSEVIER SCIENCE TECHNOLOGY, United States (1983)
ISBN 10: 0444868399 ISBN 13: 9780444868398
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Descripción ELSEVIER SCIENCE TECHNOLOGY, United States, 1983. Hardback. Condición: New. New edition. Language: English . Brand New Book. Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing.The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin s axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory. Nº de ref. del artículo: AA59780444868398

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Kenneth Kunen
Publicado por ELSEVIER SCIENCE TECHNOLOGY, United States (1983)
ISBN 10: 0444868399 ISBN 13: 9780444868398
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Descripción ELSEVIER SCIENCE TECHNOLOGY, United States, 1983. Hardback. Condición: New. New edition. Language: English . Brand New Book. Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing.The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin s axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory. Nº de ref. del artículo: AA59780444868398

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Kenneth Kunen
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Descripción Condición: New. Depending on your location, this item may ship from the US or UK. Nº de ref. del artículo: 97804448683980000000

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Kunen, Kenneth
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Descripción Elsevier Science & Technology, 1983. Condición: New. Series: Studies in Logic and the Foundations of Mathematics. Num Pages: 330 pages, 1. BIC Classification: PBCH. Category: (P) Professional & Vocational. Dimension: 216 x 143 x 20. Weight in Grams: 550. . 1983. New ed. Hardcover. . . . . . Nº de ref. del artículo: V9780444868398

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KUNEN, K.
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Descripción North Holland, 1983. Hardback. Condición: NEW. 9780444868398 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. del artículo: HTANDREE0897951

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KUNEN, K.
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Descripción North Holland, 1983. Hardback. Condición: NEW. 9780444868398 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. del artículo: HTANDREE01203445

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Descripción Elsevier Science & Technology. Condición: New. Series: Studies in Logic and the Foundations of Mathematics. Num Pages: 330 pages, 1. BIC Classification: PBCH. Category: (P) Professional & Vocational. Dimension: 216 x 143 x 20. Weight in Grams: 550. . 1983. New ed. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. del artículo: V9780444868398

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Kenneth Kunen
Publicado por North Holland (1983)
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Descripción North Holland, 1983. Condición: New. book. Nº de ref. del artículo: ria9780444868398_rkm

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Kunen, Kenneth
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Descripción North-Holland, 1984. Hardcover. Condición: Brand New. reprint edition. 314 pages. 9.50x6.00x0.75 inches. In Stock. Nº de ref. del artículo: __0444868399

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Kenneth Kunen
Publicado por Elsevier Science & Technology Dez 1983 (1983)
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Descripción Elsevier Science & Technology Dez 1983, 1983. Buch. Condición: Neu. Neuware - Studies in Logic and the Foundations of Mathematics, Volume 102: Set Theory: An Introduction to Independence Proofs offers an introduction to relative consistency proofs in axiomatic set theory, including combinatorics, sets, trees, and forcing. The book first tackles the foundations of set theory and infinitary combinatorics. Discussions focus on the Suslin problem, Martin's axiom, almost disjoint and quasi-disjoint sets, trees, extensionality and comprehension, relations, functions, and well-ordering, ordinals, cardinals, and real numbers. The manuscript then ponders on well-founded sets and easy consistency proofs, including relativization, absoluteness, reflection theorems, properties of well-founded sets, and induction and recursion on well-founded relations. The publication examines constructible sets, forcing, and iterated forcing. Topics include Easton forcing, general iterated forcing, Cohen model, forcing with partial functions of larger cardinality, forcing with finite partial functions, and general extensions. The manuscript is a dependable source of information for mathematicians and researchers interested in set theory. 330 pp. Englisch. Nº de ref. del artículo: 9780444868398

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