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 | ||||||
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| Keywords: | equivalence, classical mechanics, Hamiltonian mechanics, Lagrangian mechanics, interpretation | ||||||
| Subjects: | Specific Sciences > Physics > Classical Physics General Issues > Structure of Theories |
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| 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 |
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| Date: | 1 June 2017 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/13092 |
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