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
Creators:	Creators Email ORCID Muller, F.A. f.a.muller@uu.nl
Keywords:	structuralism, structure, identity-criterion, discernibility
Subjects:	Specific Sciences > Mathematics
Depositing User:	F.A. Muller
Date Deposited:	21 Oct 2012 15:13
Last Modified:	21 Oct 2012 15:13
Item ID:	9380
Subjects:	Specific Sciences > Mathematics
Date:	June 2012
URI:	https://philsci-archive.pitt.edu/id/eprint/9380

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