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Between Laws and Models: Some Philosophical Morals of Lagrangian Mechanics

Butterfield, Jeremy (2004) Between Laws and Models: Some Philosophical Morals of Lagrangian Mechanics. [Preprint]

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Abstract

I extract some philosophical morals from some aspects of Lagrangian mechanics. (A companion paper will present similar morals from Hamiltonian mechanics and Hamilton-Jacobi theory.) One main moral concerns methodology: Lagrangian mechanics provides a level of description of phenomena which has been largely ignored by philosophers, since it falls between their accustomed levels---``laws of nature'' and ``models''. Another main moral concerns ontology: the ontology of Lagrangian mechanics is both more subtle and more problematic than philosophers often realize. The treatment of Lagrangian mechanics provides an introduction to the subject for philosophers, and is technically elementary. In particular, it is confined to systems with a finite number of degrees of freedom, and for the most part eschews modern geometry.


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Item Type: Preprint
Creators:
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Butterfield, Jeremy
Keywords: Classical mechanics, Lagrangian mechanics, Laws of nature, models, modality, symmetry, Routhian reduction, Noether's theorem
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > Models and Idealization
General Issues > Reductionism/Holism
Depositing User: Jeremy Butterfield
Date Deposited: 04 Sep 2004
Last Modified: 07 Oct 2010 15:12
Item ID: 1937
URI: http://philsci-archive.pitt.edu/id/eprint/1937

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