Authors
Anthony F. Peressini
Marquette University
Abstract
I critically examine confirmational holism as it pertains to the indispensability arguments for mathematical Platonism. I employ a distinction between pure and applied mathematics that grows out of the often overlooked symbiotic relationship between mathematics and science. I argue that this distinction undercuts the notion that mathematical theories fall under the holistic scope of the confirmation of our scientific theories.Keywords: Confirmational holism; Indispensability argument; Mathematics; Application; Science.
Keywords Confirmational holism  Indispensability arguments  Mathematics  mathematical Application
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Reprint years 2008
DOI 10.1016/j.shpsa.2007.11.008
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References found in this work BETA

Two Dogmas of Empiricism.Willard V. O. Quine - 1951 - Philosophical Review 60 (1):20–43.
The Aim and Structure of Physical Theory.Pierre Duhem & Philip P. Wiener - 1955 - Science and Society 19 (1):85-87.
Carnap and Logical Truth.Willard van Orman Quine - 1960 - Synthese 12 (4):350--74.
Indispensability and Practice.Penelope Maddy - 1992 - Journal of Philosophy 89 (6):275.

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Citations of this work BETA

Plato's Problem: An Introduction to Mathematical Platonism.Marco Panza & Andrea Sereni - 2013 - London and Basingstoke: Palgrave-Macmillan.

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