David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophia Mathematica 18 (1):53-73 (2010)
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 nominalism may be regarded as a methodological approach to applicability, illuminating the use of mathematics in science
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Mark Balaguer (1996). Towards a Nominalization of Quantum Mechanics. Mind 105 (418):209-226.
Reinhard Niederée (1992). What Do Numbers Measure? A New Approach to Fundamental Measurement. Mathematical Social Sciences 24:237-276.
Michael D. Resnik (1985). How Nominalist is Hartry Field's Nominalism? Philosophical Studies 47 (2):163 - 181.
Stewart Shapiro (1983). Conservativeness and Incompleteness. Journal of Philosophy 80 (9):521-531.
Citations of this work BETA
No citations found.
Similar books and articles
Mary Leng (2010). Mathematics and Reality. OUP Oxford.
Charles Sayward (2005). A Wittgensteinian Philosophy of Mathematics. Logic and Logical Philosophy 15 (2):55-69.
David Liggins (2007). Anti-Nominalism Reconsidered. Philosophical Quarterly 57 (226):104–111.
Otávio Bueno (2008). Truth and Proof. Manuscrito 31 (1).
David Sepkoski (2007). Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy. Routledge.
Alan Baker (2010). No Reservations Required? Defending Anti-Nominalism. Studia Logica 96 (2):127-139.
Richard Pettigrew (2012). Indispensability Arguments and Instrumental Nominalism. Review of Symbolic Logic 5 (4):687-709.
Sorin Ioan Bangu (2008). Inference to the Best Explanation and Mathematical Realism. Synthese 160 (1):13-20.
Davide Rizza (2011). Magicicada, Mathematical Explanation and Mathematical Realism. Erkenntnis 74 (1):101-114.
Added to index2010-02-06
Total downloads33 ( #53,813 of 1,103,046 )
Recent downloads (6 months)1 ( #297,567 of 1,103,046 )
How can I increase my downloads?