Räz, Tim (2014) Say My Name. An Objection to Ante Rem Structuralism. [Preprint]

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Abstract

In this paper I raise an objection to ante rem structuralism, proposed by Stewart Shapiro: I show that it is in conflict with mathematical practice. Shapiro introduced so-called “finite cardinal structures” to illustrate features of ante rem structuralism. I establish that these structures have a well-known counterpart in mathematics, but this counterpart is incompatible with ante rem structuralism. Furthermore, there is a good reason why, according to mathematical practice, these structures do not behave as conceived by ante rem structuralism.

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Item Type:	Preprint
Creators:	Creators Email ORCID Räz, Tim tim.raez@gmail.com
Keywords:	Ante Rem Structuralism; Shapiro; Mathematics
Subjects:	Specific Sciences > Mathematics
Depositing User:	Tim Räz
Date Deposited:	03 Aug 2014 14:40
Last Modified:	03 Aug 2014 14:40
Item ID:	10919
Subjects:	Specific Sciences > Mathematics
Date:	2014
URI:	https://philsci-archive.pitt.edu/id/eprint/10919

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