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  1. The Norton Dome and the Nineteenth Century Foundations of Determinism.Marij van Strien - 2014 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 45 (1):167-185.
    The recent discovery of an indeterministic system in classical mechanics, the Norton dome, has shown that answering the question whether classical mechanics is deterministic can be a complicated matter. In this paper I show that indeterministic systems similar to the Norton dome were already known in the nineteenth century: I discuss four nineteenth century authors who wrote about such systems, namely Poisson, Duhamel, Boussinesq and Bertrand. However, I argue that their discussion of such systems was very different from the contemporary (...)
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  • 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.
    If the force on a particle fails to satisfy a Lipschitz condition at a point, it relaxes one of the conditions necessary for a locally unique solution to the particle’s equation of motion. I examine the most discussed example of this failure of determinism in classical mechanics—that of Norton’s dome—and the range of current objections against it. Finding there are many different conceptions of classical mechanics appropriate and useful for different purposes, I argue that no single conception is preferred. Instead (...)
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  • On the borderline between Science and Philosophy: A debate on determinism in France around 1880.Stefano Bordoni - 2015 - Studies in History and Philosophy of Science Part A 49 (C):27-35.
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