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Synopsis
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.
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Présentation de l'éditeur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Set Theory An Introduction To Independence Proofs: 102 (Studies in Logic and the Foundations of Mathematics): Volume 102
Edité par
North Holland, 1983
ISBN 10 : 0444868399
ISBN 13 : 9780444868398
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SET THEORY AN INTRODUCTION TO INDEPENDEN
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Set Theory An Introduction To Independence Proofs
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Elsevier Science, 1983
ISBN 10 : 0444868399
ISBN 13 : 9780444868398
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Set Theory An Introduction To Independence Proofs: 102 (Studies in Logic and the Foundations of Mathematics): Volume 102
Edité par
North Holland 1983-12-01, 1983
ISBN 10 : 0444868399
ISBN 13 : 9780444868398
Neuf
Couverture rigide
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Set Theory An Introduction To Independence Proofs
Edité par
Elsevier Science, 1983
ISBN 10 : 0444868399
ISBN 13 : 9780444868398
Neuf
Couverture rigide
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Set Theory
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Elsevier Science & Technology, 1983
ISBN 10 : 0444868399
ISBN 13 : 9780444868398
Neuf
Couverture rigide
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - 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. N° de réf. du vendeur 9780444868398
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Set Theory An Introduction To Independence Proofs (Studies in Logic and the Foundations of Mathematics, Volume 102)
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Set Theory An Introduction To Independence Proofs: Volume 102
Edité par
Elsevier Science & Technology, 1983
ISBN 10 : 0444868399
ISBN 13 : 9780444868398
Neuf
Couverture rigide
Vendeur : THE SAINT BOOKSTORE, Southport, Royaume-Uni
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Set Theory
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Etat : New. pp. 334 47:B&W 5.5 x 8.5 in or 216 x 140 mm (Demy 8vo) Case Laminate on White w/Gloss Lam. N° de réf. du vendeur 8128082
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Set Theory: An Introduction to Independence Proofs : Studies in Logic and the Foundations of Mathematics Series: Vol 102
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Hardcover. Etat : Brand New. reprint edition. 314 pages. 9.50x6.00x0.75 inches. In Stock. N° de réf. du vendeur __0444868399
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