Graduate studies at Western
Philosophy of Science 74 (5):943-956 (2007)
|Abstract||A recent proposal by Norton (2003) to show that a simple Newtonian system can exhibit stochastic acausal behavior by giving rise to spontaneous movements of a mass on the dome of a certain shape is examined. We discuss the physical significance of an often overlooked and yet important Lipschitz condition the violation of which leads to the existence of anomalous nontrivial solutions in this and similar cases. We show that the Lipschitz condition is closely linked with the time reversibility of certain solutions in Newtonian mechanics and the failure to incorporate this condition within Newtonian mechanics may unsurprisingly lead to physically impossible solutions that have no serious metaphysical implications. ‡I thank Steven Savitt of the Philosophy Department at the University of British Columbia for drawing my attention to the Lipschitz condition, and Alexei Cheviakov of the Mathematics Department at the University of British Columbia for useful discussions. †To contact the author, please write to: Department of Philosophy, University of British Columbia, Vancouver, BC, V6T 1Z1, Canada; e-mail: email@example.com.|
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
Rod Cross (1995). Metaphors and Time Reversibility and Irreversibility in Economic Systems. Journal of Economic Methodology 2 (1):123-134.
John Norton (2008). The Dome: An Unexpectedly Simple Failure of Determinism. Philosophy of Science 75 (5):786-798.
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.
John Earman (2008). How Determinism Can Fail in Classical Physics and How Quantum Physics Can (Sometimes) Provide a Cure. Philosophy of Science 75 (5):817-829.
John Earman & John D. Norton (1998). Comments on Laraudogoitia's 'Classical Particle Dynamics, Indeterminism and a Supertask'. British Journal for the Philosophy of Science 49 (1):123-133.
Alexandre Guay & Brian Hepburn (2009). Symmetry and its Formalisms: Mathematical Aspects. Philosophy of Science 76 (2):160-178.
Mario Castagnino, Manuel Gadella & Olimpia Lombardi, Time-Reversal Invariance and Irreversibility in Time-Asymmetric Quantum Mechanics.
Leonard Angel (2005). Evens and Odds in Newtonian Collision Mechanics. British Journal for the Philosophy of Science 56 (1):179-188.
Added to index2009-01-28
Total downloads70 ( #15,048 of 732,212 )
Recent downloads (6 months)29 ( #4,241 of 732,212 )
How can I increase my downloads?