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This third 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 third edition has been extensively updated with expanded introductory material, new chapters, and a new appendix on category theory. It covers recent developments in the field and contains numerous exercises, along with updated and increased coverage of the 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 Zermelo-Fraenkel set theory. John L. Bell, a recognized scholar in mathematical logic, provides a rigorous exposition of Boolean-valued models as a primary tool for establishing these independence results. The work serves as a technical bridge for graduate students and researchers, synthesizing complex logical structures into a cohesive mathematical argument.
What You Will Find
Scope Limits
Experts and academics frequently cite this work as a foundational text for understanding the technical mechanics of independence proofs. Readers often note the high density of the prose, which is tailored specifically for those already proficient in mathematical logic and formal systems.
Page Count:
191
Publication Date:
2011-01-01
Publisher:
OUP Oxford
ISBN-10:
0191620823
ISBN-13:
9780191620829
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