Inferring probabilities from symmetries

Noûs 32 (2):231-246 (1998)
Abstract
This paper justifies the inference of probabilities from symmetries. I supply some examples of important and correct inferences of this variety. Two explanations of such inferences -- an explanation based on the Principle of Indifference and a proposal due to Poincaré and Reichenbach -- are considered and rejected. I conclude with my own account, in which the inferences in question are shown to be warranted a posteriori, provided that they are based on symmetries in the mechanisms of chance setups.
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DOI 10.1111/0029-4624.00098
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Mechanistic Probability.Marshall Abrams - 2012 - Synthese 187 (2):343-375.
An Empirical Approach to Symmetry and Probability.Jill North - 2010 - Studies in History and Philosophy of Science Part B 41 (1):27-40.
On Bertrand's Paradox.Sorin Bangu - 2010 - Analysis 70 (1):30-35.
The Metaphysics of Chance.Rachael Briggs - 2010 - Philosophy Compass 5 (11):938-952.

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