A new perspective on the problem of applying mathematics

Philosophia Mathematica 12 (2):135-161 (2004)

Abstract

This paper sets out a new framework for discussing a long-standing problem in the philosophy of mathematics, namely the connection between the physical world and a mathematical domain when the mathematics is applied in science. I argue that considering counterfactual situations raises some interesting challenges for some approaches to applications, and consider an approach that avoids these challenges.

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Christopher Pincock
Ohio State University

References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Inquiry.Robert C. Stalnaker - 1984 - Cambridge University Press.
The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford, England: Oxford University Press.
The Nature of Mathematical Knowledge.Philip Kitcher - 1983 - Oxford, England: Oxford University Press.
Mathematics as a Science of Patterns.Michael David Resnik - 1997 - Oxford, England: New York ;Oxford University Press.

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Citations of this work

Mathematical Explanation by Law.Sam Baron - 2019 - British Journal for the Philosophy of Science 70 (3):683-717.
Explaining Mathematical Explanation.Sam Baron - 2016 - Philosophical Quarterly 66 (264):458-480.
Epistemic Artifacts and the Modal Dimension of Modeling.Tarja Knuuttila - 2021 - European Journal for Philosophy of Science 11 (3):1-18.

View all 37 citations / Add more citations

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