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A relativistic Zeno effect

Synthese 160 (1):5-12 (2008)

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  1. Newtonian supertasks: A critical analysis.Joseph S. Alper & Mark Bridger - 1998 - Synthese 114 (2):355-369.
    In two recent papers Perez Laraudogoitia has described a variety of supertasks involving elastic collisions in Newtonian systems containing a denumerably infinite set of particles. He maintains that these various supertasks give examples of systems in which energy is not conserved, particles at rest begin to move spontaneously, particles disappear from a system, and particles are created ex nihilo. An analysis of these supertasks suggests that they involve systems that do not satisfy the mathematical conditions required of Newtonian systems at (...)
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  • What is a Newtonian system? The failure of energy conservation and determinism in supertasks.J. S. Alper, M. Bridger, J. Earman & J. D. Norton - 2000 - Synthese 124 (2):281-293.
    Supertasks recently discussed in the literature purport to display a failure ofenergy conservation and determinism in Newtonian mechanics. We debatewhether these supertasks are admissible as Newtonian systems, with Earmanand Norton defending the affirmative and Alper and Bridger the negative.
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  • Discussion. Comments on Laraudogoitia's 'classical particle dynamics, indeterminism and a supertask'.J. Earman - 1998 - British Journal for the Philosophy of Science 49 (1):123-133.
    We discuss two supertasks invented recently by Laraudogoitia [1996, 1997], Both involve an infinite number of particle collisions within a finite amount of time and both compromise determinism. We point out that the sources of the indeterminism are rather different in the two cases - one involves unbounded particle velocities, the other involves particles with no lower bound to their sizes - and consequently that the implications for determinism are rather different - one form of indeterminism affects Newtonian but not (...)
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