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First Order Theory of Complete Stonean Algebras (Boolean-Valued Real and Complex Numbers)

Published online by Cambridge University Press:  20 November 2018

Thomas Jech*
Affiliation:
Pennsylvania State University University Park, PA 16802
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Abstract

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We axiomatize the theory of real and complex numbers in Boolean-valued models of set theory, and prove that every Horn sentence true in the complex numbers is true in any complete Stonean algebra, and provable from its axioms.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1987

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