Document Type

Article

Publication Date

2016

DOI

10.1093/philmat/nkv041

Publication Title

Philosophia Mathematica

Volume

24

Issue

1

Pages

117-128

Abstract

Tim Räz has presented what he takes to be a new objection to Stewart Shapiro's ante rem structuralism (ARS). Räz claims that ARS conflicts with mathematical practice. I will explain why this is similar to an old problem, posed originally by John Burgess in 1999 and Jukka Keränen in 2001, and show that Shapiro can use the solution to the original problem in Räz's case. Additionally, I will suggest that Räz's proposed treatment of the situation does not provide an argument for the in re over the ante rem approach.

Comments

This is a pre-copyedited, author-produced version of an article accepted for publication in Philosophia Mathematica following peer review. The version of record:

Kouri, T. (2016). Ante rem structuralism and the no-naming constraint. Philosophia Mathematica, 24(1), 117-128. doi:10.1093/philmat/nkv041

Original Publication Citation

Kouri, T. (2016). Ante rem structuralism and the no-naming constraint. Philosophia Mathematica, 24(1), 117-128. doi:10.1093/philmat/nkv041

ORCID

0000-0001-6519-1723 (Kouri Kissel)

Download

Share

COinS