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Evens and odds in Newtonian collision mechanics

Leonard Angel

British Journal for the Philosophy of Science 56 (1):179-188 (2005)

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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.details 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 (...) inferred. (shrink) Download Export citation Bookmark 4 citations
Undeformable Bodies that are Not Rigid Bodies: A Philosophical Journey Through Some (Unexpected) Supertasks.Jon Pérez Laraudogoitia - 2022 - Axiomathes 32 (4):605-625.details There is broad consensus (both scientific and philosophical) as to what a rigid body is in classical mechanics. The idea is that a rigid body is an undeformable body (in such a way that all undeformable bodies are rigid bodies). In this paper I show that, if this identification is accepted, there are therefore rigid bodies which are unstable. Instability here means that the evolution of certain rigid bodies, even when isolated from all external influence, may be such that their (...) Download Export citation Bookmark
Global interaction in classical mechanics.Jon Pérez Laraudogoitia - 2006 - International Studies in the Philosophy of Science 20 (2):173 – 183.details In this paper, an example is presented for a dynamic system analysable in the framework of the mechanics of rigid bodies. Interest in the model lies in three fundamental features. First, it leads to a paradox in classical mechanics which does not seem to be explainable with the conceptual resources currently available. Second, it is possible to find a solution to it by extending in a natural way the idea of global interaction in the context of what is called interaction (...) Download Export citation Bookmark

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