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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
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.

Keywords

03E4003C6013L0546J99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 30 , Issue 4 , 01 December 1987 , pp. 385 - 392
Copyright
Copyright © Canadian Mathematical Society 1987

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