The semantic plights of the ante-rem structuralist View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2018-12

AUTHORS

Bahram Assadian

ABSTRACT

A version of the permutation argument in the philosophy of mathematics leads to the thesis that mathematical terms, contrary to appearances, are not genuine singular terms referring to individual objects; they are purely schematic or variables. By postulating ‘ante-rem structures’, the ante-rem structuralist aims to defuse the permutation argument and retain the referentiality of mathematical terms. This paper presents two semantic problems for the ante-rem view: (1) ante-rem structures are themselves subject to the permutation argument; (2) the ante-rem structuralist fails to explain reference in a way that makes her account different to, and privileged over, that of her eliminativist rivals. Both problems undercut the motivation behind ante-rem structuralism. More... »

PAGES

3195-3215

References to SciGraph publications

Journal

TITLE

Philosophical Studies

ISSUE

12

VOLUME

175

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11098-017-1001-7

DOI

http://dx.doi.org/10.1007/s11098-017-1001-7

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1092410958


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