
As an Amazon Associate and affiliate partner, Menrva Books earns from qualifying purchases. Learn more
This second edition, now available in paperback, is a follow up to the author's classic Boolean-Valued Models and Independence Proofs in Set Theory,. It provides an exposition of some of the most important results in set theory obtained in the 20th century - the independence of the continuum hypothesis and the axiom of choice. Aimed at graduate students and researchers in mathematics, mathematical logic, philosophy, and computer science, the second edition has been extensively updated with expanded introductory material, new chapters, and a new appendix on category theory. It also includes recent developments in the field and numerous exercises, along with the enlarged and entirely updated background material. This new paperback edition includes additional corrections and, for the first time, will make this landmark text accessible to students in logic and set theory.
This text investigates the independence of the continuum hypothesis and the axiom of choice within the framework of set theory using Boolean-valued models. John L. Bell, a recognized authority in mathematical logic, provides a rigorous exposition of these foundational results. The book utilizes advanced set-theoretic techniques and category theory to demonstrate how these independence proofs function, serving as a comprehensive resource for graduate-level study and research.
What You Will Find
Experts identify this work as a foundational text for graduate students and researchers in mathematical logic. Readers frequently note the high level of academic density and the necessity of a strong background in set theory to fully engage with the proofs presented.
Page Count:
191
Publication Date:
2011-12-17
Publisher:
Oxford University Press
ISBN-10:
0199609160
ISBN-13:
9780199609161
No comments yet. Be the first to share your thoughts!