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Craig Callender (1995). The Metaphysics of Time Reversal: Hutchison on Classical Mechanics.

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  1.  93
    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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  2.  12
    When We Do Have a Classical Arrow of Time.Bryan W. Roberts - 2013 - Philosophy of Science 80 (5):1112-1124.
    I point out that some common folk wisdom about time reversal invariance in classical mechanics is strictly incorrect, by showing some explicit examples in which classical time reversal invariance fails, even among conservative systems. I then show that there is nevertheless a broad class of familiar classical systems that are time reversal invariant.
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  3. What Counts as a Newtonian System? The View From Norton’s Dome.Samuel C. 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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