Realizing Realizability Results with Classical Constructions

Karagila, Asaf (2019) Realizing Realizability Results with Classical Constructions. Bulletin of Symbolic Logic, 25 (4). pp. 429-445. ISSN 1079-8986

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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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 12 Dec 2019 03:16
Last Modified: 22 Mar 2020 01:32
URI: https://ueaeprints.uea.ac.uk/id/eprint/73352
DOI: 10.1017/bsl.2019.59

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