Jump to ContentJump to Main Navigation
Set TheoryBoolean-Valued Models and Independence Proofs$
Users without a subscription are not able to see the full content.

John L. Bell

Print publication date: 2005

Print ISBN-13: 9780198568520

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198568520.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 16 June 2019

BOOLEAN-VALUED MODELS OF SET THEORY: FIRST STEPS

BOOLEAN-VALUED MODELS OF SET THEORY: FIRST STEPS

Chapter:
(p.16) 1 BOOLEAN-VALUED MODELS OF SET THEORY: FIRST STEPS
Source:
Set Theory
Author(s):

John L. Bell

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568520.003.0002

This chapter presents a brief overview of the concepts from axiomatic set theory, then constructs the Boolean-valued universe V(B) and establishes its basic properties. The idea of a mixture of Boolean-valued sets is introduced and used to prove the Maximum Principle. The truth of the axioms of set theory in V(B) is then established. The chapter concludes with a discussion of ordinals, cardinals, and constructible sets V(B).

Keywords:   mixture, Maximum Principle, ordinal, cardinal, constructible set

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .