Very good. No dust jacket as issued. Trade paperback (US). Sewn binding. 313 p. Contains: Illustrations. Studies in Logic and the Foundations of Mathematics, 102. Audience: General/trade.

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Bibliographic Details

Title

Set Theory: An Introduction to Independence Proofs

Publisher

Elsevier Publishing Company

Publication Date

1995

Language

English

ISBN 10

0444868399

ISBN 13

9780444868398

Binding

Trade paperback

Edition

6th impression.

Condition

Very Good

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About this title

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.

Review

...provides a good introduction to relative consistence proofs in axiomatic set theory. It can be recommended as a graduate text on the subject. -- Zentralblatt f�r Mathematik

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