Minimal approximations and Norton’s dome

Synthese 196 (5):1749-1760 (2019)
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Abstract

In this note, I apply Norton’s (Philos Sci 79(2):207–232, 2012) distinction between idealizations and approximations to argue that the epistemic and inferential advantages often taken to accrue to minimal models (Batterman in Br J Philos Sci 53:21–38, 2002) could apply equally to approximations, including “infinite” ones for which there is no consistent model. This shows that the strategy of capturing essential features through minimality extends beyond models, even though the techniques for justifying this extended strategy remain similar. As an application I consider the justification and advantages of the approximation of a inertial reference frame in Norton’s dome scenario (Philos Sci 75(5):786–798, 2008), thereby answering a question raised by Laraudogoitia (Synthese 190(14):2925–2941, 2013).

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Samuel C. Fletcher
University of Minnesota

References found in this work

The Dome: An Unexpectedly Simple Failure of Determinism.John D. Norton - 2008 - Philosophy of Science 75 (5):786-798.
Asymptotics and the role of minimal models.Robert W. Batterman - 2002 - British Journal for the Philosophy of Science 53 (1):21-38.
How do models give us knowledge? The case of Carnot’s ideal heat engine.Tarja Knuuttila & Mieke Boon - 2011 - European Journal for Philosophy of Science 1 (3):309-334.
What Counts as a Newtonian System? The View from Norton’s Dome.Samuel Craig Fletcher - 2012 - European Journal for Philosophy of Science 2 (3):275-297.

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