Realizing realizability results with classical constructions

Asaf Karagila

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)
    16 Downloads (Pure)

    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.
    Original languageEnglish
    Pages (from-to)429-445
    Number of pages17
    JournalBulletin of Symbolic Logic
    Volume25
    Issue number4
    Early online date19 Dec 2019
    DOIs
    Publication statusPublished - Dec 2019

    Cite this