Confirmational holism and its mathematical (w)holes

Studies in History and Philosophy of Science Part A 39 (1):102-111 (2008)
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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.

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Anthony F. Peressini
Marquette University

References found in this work

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 - 1954 - Synthese 12 (4):350--74.
Indispensability and Practice.Penelope Maddy - 1992 - Journal of Philosophy 89 (6):275.

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