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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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    Abstract

    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.

    Metadata

    Item Type: Article
    School: School of Social Sciences, History and Philosophy > Philosophy
    Depositing User: Administrator
    Date Deposited: 28 May 2013 12:44
    Last Modified: 28 May 2013 12:44
    URI: https://eprints.bbk.ac.uk/id/eprint/7048

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