Chapter

Applied Mathematics and Ontology

Jody Azzouni

in Deflating Existential Consequence

Published in print February 2004 | ISBN: 9780195159882
Published online January 2005 | e-ISBN: 9780199834990 | DOI: http://dx.doi.org/10.1093/0195159888.003.0010
 Applied Mathematics and Ontology

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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

Chapter.  22135 words. 

Subjects: Philosophy of Mathematics and Logic

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