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    When do some things form a set?

    Hewitt, Simon (2015) When do some things form a set? Philosophia Mathematica , ISSN 0031-8019.

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    This paper raises the question under what circumstances a plurality forms a set, parallel to the Special Composition Question for mereology. The range of answers that have been proposed in the literature are surveyed and criticised. I argue that there is good reason to reject both the view that pluralities never form sets and the view that pluralities always form sets. Instead, we need to affirm restricted set formation. Casting doubt on the availability of any informative principle which will settle which pluralities form sets, the paper concludes by affirming a naturalistic approach to the philosophy 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: 01 May 2015 09:03
    Last Modified: 02 Aug 2023 17:16


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