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  1. A Flawed Argument Against Actual Infinity in Physics.Jon Perez Laraudogoitia - 2010 - Foundations of Physics 40 (12):1902-1910.
    In “Nonconservation of Energy and loss of Determinism II. Colliding with an Open Set” (2010) Atkinson and Johnson argue in favour of the idea that an actual infinity should be excluded from physics, at least in the sense that physical systems involving an actual infinity of component elements should not be admitted. In this paper I show that the argument Atkinson and Johnson use is erroneous and that an analysis of the situation considered by them is possible without requiring any (...)
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  • Nonconservation of Energy and Loss of Determinism II. Colliding with an Open Set.David Atkinson & Porter Johnson - 2010 - Foundations of Physics 40 (2):179-189.
    An actual infinity of colliding balls can be in a configuration in which the laws of mechanics lead to logical inconsistency. It is argued that one should therefore limit the domain of these laws to a finite, or only a potentially infinite number of elements. With this restriction indeterminism, energy nonconservation and creatio ex nihilo no longer occur. A numerical analysis of finite systems of colliding balls is given, and the asymptotic behaviour that corresponds to the potentially infinite system is (...)
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