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    The potential hierarchy of sets

    Linnebo, Øystein (2013) The potential hierarchy of sets. The Review of Symbolic Logic 6 (2), pp. 205-228. ISSN 1755-0203.

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    Some reasons to regard the cumulative hierarchy of sets as potential rather than actual are discussed. Motivated by this, a modal set theory is developed which encapsulates this potentialist conception. The resulting theory is equi-interpretable with Zermelo Fraenkel set theory but sheds new light on the set-theoretic paradoxes and the foundations of set theory.


    Item Type: Article
    School: Birkbeck Faculties and Schools > Faculty of Humanities and Social Sciences > School of Historical Studies
    Depositing User: Administrator
    Date Deposited: 28 May 2013 12:44
    Last Modified: 02 Aug 2023 17:04


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