What counts as a Newtonian system? The view from Norton's dome

Abstract
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 of arguing for or against determinism, I stress the wide variety of pragmatic considerations that, in a specific context, may lead one usefully and legitimately to adopt one conception over another in which determinism may or may not hold
Keywords Determinism  Classical mechanics  Newtonian mechanics  Pluralism  Pragmatism
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    References found in this work BETA
    Craig Callender (1995). The Metaphysics of Time Reversal: Hutchison on Classical Mechanics. British Journal for the Philosophy of Science 46 (3):331-340.
    Walter Hoering (1969). Indeterminism in Classical Physics. British Journal for the Philosophy of Science 20 (3):247-255.
    Keith Hutchison (1993). Is Classical Mechanics Really Time-Reversible and Deterministic? British Journal for the Philosophy of Science 44 (2):307-323.
    Keith Hutchison (1995). Temporal Asymmetry in Classical Mechanics. British Journal for the Philosophy of Science 46 (2):219-234.

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