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    Richness and reflection

    Barton, Neil (2015) Richness and reflection. Philosophia Mathematica 24 (3), pp. 330-359. ISSN 0031-8019.

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    Abstract

    A pervasive thought in contemporary philosophy of mathematics is that in order to justify reflection principles, one must hold universism: the view that there is a single universe of pure sets. I challenge this kind of reasoning by contrasting universism with a Zermelian form of multiversism. I argue that if extant justifications of reflection principles using notions of richness are acceptable for the universist, then the Zermelian can use similar justifications. However, I note that for some forms of richness argument, the status of reflection principles as axioms is left open for the Zermelian.

    Metadata

    Item Type: Article
    School: Birkbeck Schools and Departments > School of Social Sciences, History and Philosophy > Philosophy
    Depositing User: Administrator
    Date Deposited: 13 Jun 2017 15:35
    Last Modified: 13 Jun 2017 15:35
    URI: http://eprints.bbk.ac.uk/id/eprint/17727

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