Elementary classical mechanics and the principle of the composition of causes
Synthese 173 (3) (2010)
| Abstract | In this paper, I explore whether elementary classical mechanics adheres to the Principle of Composition of Causes as Mill claimed and as certain contemporary authors still seem to believe. Among other things, I provide a proof that if one reads Mill’s description of the principle literally (as I think many do), it does not hold in any general sense. In addition, I explore a separate notion of Composition of Causes and note that it too does not hold in elementary classical mechanics. Among the major morals is that there is no utility to describing classical mechanics in terms of Composition of Causes. This is both because the stated principles do not hold and because when one describes what actually does hold in classical mechanics in terms of the Composition of Causes, one introduces misleading associations that can generate errors just as claimed by Russell (Mysticism and logic, 1981). | |||||||||
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Valia Allori, Detlef Duerr, Nino Zanghi & Sheldon Goldstein (2002). Seven Steps Toward the Classical World. Journal of Optics B 4:482–488.
William Demopoulos (2004). Elementary Propositions and Essentially Incomplete Knowledge: A Framework for the Interpretation of Quantum Mechanics. Noûs 38 (1):86–109.
Fred Wilson (1983). Mill's 'Proof' of Utility and the Composition of Causes. Journal of Business Ethics 2 (2):135 - 155.
Newton C. A. da Costa & Décio Krause (1994). Schrödinger Logics. Studia Logica 53 (4):533 - 550.
P. A. M. Dirac (1930). The Principles of Quantum Mechanics. Oxford, the Clarendon Press.
Newton C. A. Costdaa & Décio Krause (1994). Schrödinger Logics. Studia Logica 53 (4).
Valia Allori & Nino Zanghi (2008). On the Classical Limit of Quantum Mechanics. Foundations of Physics 10.1007/S10701-008-9259-4.
Robert Batterman (1992). Quantum Chaos and Semiclassical Mechanics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:50 - 65.
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