Say My Name : An Objection to Ante Rem Structuralism

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2015
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Philosophia Mathematica ; 23 (2015), 1. - pp. 116-125. - ISSN 0031-8019. - eISSN 1744-6406
Abstract
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.
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100 Philosophy
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Cite This
ISO 690RÄZ, 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
BibTex
@article{Raz2015Objec-31190,
  year={2015},
  doi={10.1093/philmat/nku034},
  title={Say My Name : An Objection to Ante Rem Structuralism},
  number={1},
  volume={23},
  issn={0031-8019},
  journal={Philosophia Mathematica},
  pages={116--125},
  author={Räz, Tim}
}
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