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  3. An Introduction to Independence for Analysts
  • Cited by 32
Publisher:
Cambridge University Press
Online publication date:
March 2010
Print publication year:
1987
Online ISBN:
9780511662256
DOI:
https://doi.org/10.1017/CBO9780511662256
Subjects:
Mathematics (general), Mathematics, Logic, Categories and Sets, Abstract Analysis
Series:
London Mathematical Society Lecture Note Series (115)
Information

Book description

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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