Say My Name : An Objection to Ante Rem Structuralism
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Philosophia Mathematica. 2015, 23(1), pp. 116-125. ISSN 0031-8019. eISSN 1744-6406. Available under: doi: 10.1093/philmat/nku034
Zusammenfassung
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 Philosophie
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RÄZ, Tim, 2015. Say My Name : An Objection to Ante Rem Structuralism. In: Philosophia Mathematica. 2015, 23(1), pp. 116-125. ISSN 0031-8019. eISSN 1744-6406. Available under: doi: 10.1093/philmat/nku034BibTex
@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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