Say My Name : An Objection to Ante Rem Structuralism

Type of Publication: Journal article
URI (citable link): http://nbn-resolving.de/urn:nbn:de:bsz:352-0-287178
Author: Räz, Tim
Year of publication: 2015
Published in: Philosophia Mathematica ; 23 (2015), 1. - pp. 116-125. - ISSN 0031-8019. - eISSN 1744-6406
DOI (citable link): https://dx.doi.org/10.1093/philmat/nku034
Summary:
I raise an objection to Stewart Shapiro's version of ante rem structuralism: 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 Shapiro's ante rem structuralism.
Subject (DDC): 100 Philosophy
Link to License: In Copyright
Bibliography of Konstanz: Yes
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RÄZ, Tim, 2015. Say My Name : An Objection to Ante Rem Structuralism. In: Philosophia Mathematica. 23(1), pp. 116-125. ISSN 0031-8019. eISSN 1744-6406. Available under: doi: 10.1093/philmat/nku034

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