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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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Applied Mathematics and Ontology

Applied Mathematics and Ontology

Chapter:
(p.181) 9 Applied Mathematics and Ontology
Source:
Deflating Existential Consequence
Author(s):

Jody Azzouni (Contributor Webpage)

Publisher:
Oxford University Press
DOI:10.1093/0195159888.003.0010

The ontological commitments of various applied mathematical theories are evaluated by determining which posits involved are ontologically independent. The most intricate of these, a portion of Newtonian physics, involves the evaluation of spatial and temporal points, space itself, forces, and so on. It’s argued that none of the former, despite being ontological commitments of the theory in the Quinean sense, are commitments in the more refined sense developed in this book.

Keywords:   absolute space, forces, ontological commitments, ontological independence, Newtonian physics, spatial points, temporal points

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