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Set TheoryBoolean-Valued Models and Independence Proofs$
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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

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BOOLEAN-VALUED ANALYSIS

BOOLEAN-VALUED ANALYSIS

Chapter:
(p.149) 7 BOOLEAN-VALUED ANALYSIS
Source:
Set Theory
Author(s):

John L. Bell

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198568520.003.0008

This chapter gives a brief account of real analysis in Boolean-valued models arising from measure algebras and algebras of projections on Hilbert space. The latter is applied, following Martin Davis, to provide a novel interpretation of the formalism of quantum theory.

Keywords:   measure algebra, algebra of projections, Hilbert space, formalism of quantum theory

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