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Deflating Existential ConsequenceA Case for Nominalism$
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Jody Azzouni

Print publication date: 2004

Print ISBN-13: 9780195159882

Published to Oxford Scholarship Online: January 2005

DOI: 10.1093/0195159888.001.0001

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Applying Mathematics: Two Models

Applying Mathematics: Two Models

Chapter:
(p.160) 8 Applying Mathematics: Two Models
Source:
Deflating Existential Consequence
Author(s):

Jody Azzouni (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195159888.003.0009

Several applications of mathematics to empirical domains are described, including a small portion of Newtonian mechanics. The simplest case is one where a nonmathematical empirical description of the domain of application is already in place. A far more (ontologically) complicated case is one where no such empirical description is in place; instead mathematical nomenclature is applied empirically by reinterpreting some of that nomenclature as empirically referring. A concern due to Mark Steiner, that the empirical success of the drafting of mathematical kind-terms for the role of projectable (empirical) predicates in empirical theories, involves an unexplained methodological miracle, is shown to be groundless.

Keywords:   applying mathematics, methodological miracles, Newtonian mechanics, projectability, reinterpreting mathematical nomenclature, Mark Steiner

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