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Rizza, Davide 
ORCID: https://orcid.org/0000-0002-1375-371X
(2009)
Mathematical nominalism and measurement.
Philosophia Mathematica, 18 (1).
pp. 53-73.
ISSN 1744-6406
Abstract
In this paper I defend mathematical nominalism by arguing that any reasonable account of scientific theories and scientific practice must make explicit the empirical non-mathematical grounds on which the application of mathematics is based. Once this is done, references to mathematical entities may be eliminated or explained away in terms of underlying empirical conditions. I provide evidence for this conclusion by presenting a detailed study of the applicability of mathematics to measurement. This study shows that mathematical nominalismmay be regarded as amethodological approach to applicability, illuminating the use of mathematics in science.
| Item Type: | Article |
|---|---|
| Faculty \ School: | Faculty of Arts and Humanities > School of Politics, Philosophy, Language and Communication Studies (former - to 2024) |
| UEA Research Groups: | Faculty of Arts and Humanities > Research Groups > Philosophy Faculty of Science > Research Groups > Algebra, Logic & Number Theory |
| Depositing User: | EPrints Services |
| Date Deposited: | 01 Oct 2010 13:58 |
| Last Modified: | 11 Nov 2024 09:30 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/10016 |
| DOI: | 10.1093/philmat/nkp010 |
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