Philosophical Studies 175 (8):1927-1944 (2018)

Abstract
This paper presents a symmetry condition for probabilistic measures of confirmation which is weaker than commutativity symmetry, disconfirmation commutativity symmetry but also antisymmetry. It is based on the idea that for any value a probabilistic measure of confirmation can assign there is a corresponding case where degrees of confirmation are symmetric. It is shown that a number of prominent confirmation measures such as Carnap’s difference function, Rescher’s measure of confirmation, Gaifman’s confirmation rate and Mortimer’s inverted difference function do not satisfy this condition and instead exhibit a previously unnoticed and rather puzzling behavior in certain cases of disconfirmation. This behavior also carries over to probabilistic measures of information change, causal strength, explanatory power and coherence.
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DOI 10.1007/s11098-017-0943-0
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References found in this work BETA

Philosophical Explanations.Robert Nozick - 1982 - Critica 14 (41):87-93.
The Logic of Explanatory Power.Jonah N. Schupbach & Jan Sprenger - 2011 - Philosophy of Science 78 (1):105-127.
Measuring Coherence.Igor Douven & Wouter Meijs - 2007 - Synthese 156 (3):405 - 425.
Symmetries and Asymmetries in Evidential Support.Ellery Eells & Branden Fitelson - 2002 - Philosophical Studies 107 (2):129 - 142.

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