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Equivalent and Inequivalent Formulations of Classical Mechanics

Barrett, Thomas William (2017) Equivalent and Inequivalent Formulations of Classical Mechanics. [Preprint]

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Abstract

In this paper, I examine whether or not the Hamiltonian and Lagrangian formulations of classical mechanics are equivalent theories. I do so by applying a standard for equivalence that was recently introduced into philosophy of science by Halvorson and Weatherall. This case study yields three general philosophical payoffs. The first is a specific plea for clarity in our discussions of equivalence, while the second and third concern how we should interpret what our physical theories say about the world.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Barrett, Thomas Williamthomaswb@princeton.edu
Keywords: equivalence, classical mechanics, Hamiltonian mechanics, Lagrangian mechanics, interpretation
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > Structure of Theories
Depositing User: Thomas Barrett
Date Deposited: 02 Jun 2017 16:54
Last Modified: 02 Jun 2017 16:54
Item ID: 13092
Subjects: Specific Sciences > Physics > Classical Physics
General Issues > Structure of Theories
Date: 1 June 2017
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/13092

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