A Counterexample to Deflationary Nominalism

被引:0
|
作者
Danne, Nicholas [1 ]
机构
[1] Univ South Carolina, Dept Philosophy, Close Hipp Bldg,Suite 503,1705 Coll St, Columbia, SC 29208 USA
关键词
EASY ROAD; COLOR;
D O I
10.1007/s10670-021-00425-6
中图分类号
B [哲学、宗教];
学科分类号
01 ; 0101 ;
摘要
According to Jody Azzouni's "deflationary nominalism," the singular terms of mathematical language applied or unapplied to science refer to nothing at all. What does exist, Azzouni claims, must satisfy the quaternary condition he calls "thick epistemic access" (TEA). In this paper I argue that TEA surreptitiously reifies some mathematical entities. The mathematical entity that I take TEA to reify is the Fourier harmonic, an infinite-duration monochromatic sinusoid applied throughout engineering and physics. I defend the reality of the harmonic, in Azzouni's account, not by satisfying all four TEA conditions with respect to it, but by showing that the harmonic renders satisfiable the TEA condition called "grounding," specifically in Azzouni's (Talking about nothing: numbers, hallucinations, and fictions. New York: Oxford University Press, 2010) example of a human visually perceiving a vase. The harmonic thereby plays what Azzouni calls an "epistemic role," and merits inclusion in the deflationary nominalist ontology. Against the "coding" objection of Azzouni and Bueno (Br J Philos Sci 67:781-816, 2016), which would nominalize the harmonic to nonexistent status, I reply that in the context of grounding, the coding objection begs the question.
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页码:1721 / 1740
页数:20
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