An introduction to independence for analysts

By: Dales, H.GContributor(s): Woodin, W.HMaterial type: TextTextLanguage: English Series: London Mathematical Society lecture note series ; 115Publication details: New York Cambridge University Press 1987Description: xiii, 241pISBN: 0521339960Subject(s): Forcing (Model theory) | Independence (Mathematics) | Axiomatic set theory | MathematicsSummary: 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
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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

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