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What Everyone Should Say About Symmetries (And Why Humeans Get to Say It)

Hicks, Michael (2018) What Everyone Should Say About Symmetries (And Why Humeans Get to Say It). [Preprint]

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Abstract

The laws of physics have an interesting internal explanatory structure. Some principles explain others; some constraints fall out of the dynamic equations, and others help determine them. This leads to interesting, and non-trivial, questions for metaphysicians of laws. What sort of explanation is this? Which principles are explananda, and which explanandum?

In a recent and insightful series of papers, Marc Lange (2007, 2009, 2011a, 2011b) has discussed these questions in detail, with a focus on the explanatory priority of symmetry principles and their associated conservation laws. Lange argues that symmetry principles are meta-laws: laws governing the laws. The symmetry principles explain the conservation laws by governing them, just as first-order laws explain first-order facts by governing them. He then claims that his metaphysical view of laws can neatly accommodate metalaws but his competitors, namely Humeans and dispositional essentialists, cannot (2009, 2011b).

While I agree with Lange that symmetry principles explain conservation laws, I hold that he is wrong on all other counts. Symmetry principles are not meta-laws: they are first-order generalizations. The explanation of conservation laws from symmetry principles is not a covering-law explanation: it has more in common with reductive explanations of higher-order laws from more fundamental principles. And these facts put him at a loss relative to his primary competitor, the Humean view: this correct account of the explanatory power of symmetry principles falls neatly out of Humeanism, but must be added in post hoc to Lange's view.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Hicks, MichaelTownsen
Keywords: Humeanism, laws of nature, symmetry principles,
Subjects: General Issues > Scientific Metaphysics
General Issues > Explanation
General Issues > Laws of Nature
Specific Sciences > Physics
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Dr. Michael Townsen Hicks
Date Deposited: 15 Mar 2018 15:44
Last Modified: 15 Mar 2018 15:44
Item ID: 14473
Subjects: General Issues > Scientific Metaphysics
General Issues > Explanation
General Issues > Laws of Nature
Specific Sciences > Physics
Specific Sciences > Physics > Symmetries/Invariances
Date: March 2018
URI: https://philsci-archive.pitt.edu/id/eprint/14473

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