An Introduction to Independence for Analysts
An Introduction to Independence for Analysts by H. G. Dales, published by Cambridge University Press on December 10, 1987, is a comprehensive exploration of the concept of independence in mathematics. This edition spans 241 pages and is presented in English. The book focuses on the technique of forcing, a significant tool in logic, and its application in demonstrating that certain mathematical propositions are independent of the foundational axioms of set theory, specifically ZFC.
Readers will find a clear explanation of forcing and its relevance to independence, along with a complete proof addressing a notable question in analysis that is shown to be independent of ZFC. The text also includes discussions on Martin’s Axiom and the independence of the Continuum Hypothesis (CH). This work serves as an accessible resource for those interested in the intersections of mathematics, differential equations, set theory, and mathematical analysis.
Official synopsis Publisher
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.
Publisher
Topics
FAQ
What is “An Introduction to Independence for Analysts” about?
Who is the author of “An Introduction to Independence for Analysts”?
When was “An Introduction to Independence for Analysts” published?
What is the ISBN for “An Introduction to Independence for Analysts”?
What are the book details (language, pages, edition)?
