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REALIZING REALIZABILITY RESULTS WITH CLASSICAL CONSTRUCTIONS

Published online by Cambridge University Press:  19 December 2019

ASAF KARAGILA*
Affiliation:
SCHOOL OF MATHEMATICS UNIVERSITY OF EAST ANGLIA NORWICH, NR4 7TJ, UK E-mail: karagila@math.huji.ac.ilURL: http://karagila.org

Abstract

J. L. Krivine developed a new method based on realizability to construct models of set theory where the axiom of choice fails. We attempt to recreate his results in classical settings, i.e., symmetric extensions. We also provide a new condition for preserving well ordered, and other particular type of choice, in the general settings of symmetric extensions.

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Articles
Copyright
Copyright © The Association for Symbolic Logic 2020 

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References

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