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Circular Discernment in Completely Extensive Structures and How to Avoid such Circles Generally

Muller, F.A. (2012) Circular Discernment in Completely Extensive Structures and How to Avoid such Circles Generally. [Preprint]

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    Abstract

    In this journal (Studia Logica), D. Rizza [2010: 176] expounded a solution of what he called “the indiscernibility problem for ante rem structuralism”, which is the problem to make sense of the presence, in structures, of objects that are indiscernible yet distinct, by only appealing to what that structure provides. We argue that Rizza’s solution is circular and expound a different solution that not only solves the problem for completely extensive structures, treated by Rizza, but for nearly (but not) all mathematical structures.


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    Item Type: Preprint
    Keywords: structuralism, structure, identity-criterion, discernibility
    Subjects: Specific Sciences > Mathematics
    Depositing User: F.A. Muller
    Date Deposited: 21 Oct 2012 11:13
    Last Modified: 21 Oct 2012 11:13
    Item ID: 9380
    URI: http://philsci-archive.pitt.edu/id/eprint/9380

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