The Norton-type lipschitz-indeterministic systems and elastic phenomena: Indeterminism as an artefact of infinite idealizations
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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The singularity arising from the violation of the Lipschitz condition in the simple Newtonian system proposed recently by Norton (2003) is so fragile as to be completely and irreparably destroyed by slightly relaxing certain (infinite) idealizations pertaining to elastic phenomena in this model. I demonstrate that this is also true for several other Lipschitz-indeterministic systems, which, unlike Norton's example, have no surface curvature singularities. As a result, indeterminism in these systems should rather be viewed as an artefact of certain infinite idealizations essential for these models, depriving them of much of their intended metaphysical import.
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Samuel C. Fletcher (2012). What Counts as a Newtonian System? The View From Norton's Dome. European Journal for Philosophy of Science 2 (3):275-297.
Chunghyoung Lee (2013). The Staccato Roller Coaster: A Simple Physical Model of the Staccato Run. Synthese 190 (3):549-562.
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