North, Jill (2010) An Empirical Approach to Symmetry and Probability. [Preprint]
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Abstract
We often rely on symmetries to infer outcomes’ probabilities, as when we infer that each side of a fair coin is equally likely to come up on a given toss. Why are these inferences successful? I argue against answering this question with an a priori indifference principle. Reasons to reject such a principle are familiar, yet instructive. They point to a new, empirical explanation for the success of our probabilistic predictions. This has implications for indifference reasoning generally. I argue that a priori symmetries need never constrain our probability attributions, even for initial credences.
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Item Type: | Preprint | ||||||
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Keywords: | Probability; symmetry; indifference. | ||||||
Subjects: | Specific Sciences > Probability/Statistics Specific Sciences > Physics > Symmetries/Invariances Specific Sciences > Physics > Statistical Mechanics/Thermodynamics |
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Depositing User: | Jill North | ||||||
Date Deposited: | 15 Mar 2010 | ||||||
Last Modified: | 07 Oct 2010 15:19 | ||||||
Item ID: | 5192 | ||||||
Subjects: | Specific Sciences > Probability/Statistics Specific Sciences > Physics > Symmetries/Invariances Specific Sciences > Physics > Statistical Mechanics/Thermodynamics |
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Date: | January 2010 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/5192 |
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