Chapter

Varying Interpretations

Christopher Pincock

in Mathematics and Scientific Representation

Published in print January 2012 | ISBN: 9780199757107
Published online May 2012 | e-ISBN: 9780199932313 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199757107.003.0004

Series: Oxford Studies in the Philosophy of Science

Varying Interpretations

Show Summary Details

Preview

Another kind of scientific representation is obtained when a scientist links representations using some shared mathematics. This sort of situation is quite different from the acausal representations treated in chapter 3. After considering some examples of these varying interpretations, Pincock argues that these sorts of representations also confer significant epistemic benefits. As mathematics is crucial to this success, we have another epistemic contribution from mathematics to the success of science. This raises the question of whether mathematics plays any special role in scientific discovery. Pincock argues that the toolkit of applied mathematics is useful for scientists to draw on in proposing new representations, but that this contribution is not mysterious.

Keywords: abstraction; shared structure; confirmation; discovery; applied mathematics

Chapter.  10188 words.  Illustrated.

Subjects: Philosophy of Science

Full text: subscription required

How to subscribe Recommend to my Librarian

Buy this work at Oxford University Press »

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.