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An Introduction to Independence for Analysts

An Introduction to Independence for Analysts by H. G. Dales
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Forcing is a powerful tool from logic which is used to prove that certain propositions of mathematics are independent of the basic axioms of set theory, ZFC. This book explains clearly, to non-logicians, the technique of forcing and its connection with independence, and gives a full proof that a naturally arising and deep question of analysis is independent of ZFC. It provides an accessible account of this result, and it includes a discussion, of Martin's Axiom and of the independence of CH.
Cambridge University Press; December 1987
257 pages; ISBN 9780511892318
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Title: An Introduction to Independence for Analysts
Author: H. G. Dales; W. H. Woodin