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REALIZING REALIZABILITY RESULTS WITH CLASSICAL CONSTRUCTIONS

Published online by Cambridge University Press:  19 December 2019

ASAF KARAGILA
ASAF KARAGILA*
Affiliation:
SCHOOL OF MATHEMATICS UNIVERSITY OF EAST ANGLIA NORWICH, NR4 7TJ, UK E-mail: [email protected]: http://karagila.org
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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.

Keywords

Primary 03E25Secondary 03E35axiom of choicesymmetric extensionsrealizability
Type
Articles
Information
Bulletin of Symbolic Logic , Volume 25 , Issue 4 , December 2019 , pp. 429 - 445
Copyright
Copyright © The Association for Symbolic Logic 2020 

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References

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