Commutativity, Normativity, and Holism: Lange Revisited

Canadian Journal of Philosophy 50 (2):159-173 (2020)
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Abstract

Lange (2000) famously argues that although Jeffrey Conditionalization is non-commutative over evidence, it’s not defective in virtue of this feature. Since reversing the order of the evidence in a sequence of updates that don’t commute does not reverse the order of the experiences that underwrite these revisions, the conditions required to generate commutativity failure at the level of experience will fail to hold in cases where we get commutativity failure at the level of evidence. If our interest in commutativity is, fundamentally, an interest in the order-invariance of information, an updating sequence that does not violate such a principle at the more fundamental level of experiential information should not be deemed defective. This paper claims that Lange’s argument fails as a general defense of the Jeffrey framework. Lange’s argument entails that the inputs to the Jeffrey framework differ from those of classical Bayesian Conditionalization in a way that makes them defective. Therefore, either the Jeffrey framework is defective in virtue of not commuting its inputs, or else it is defective in virtue of commuting the wrong kinds of ones.

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Lisa Cassell
University of Maryland, Baltimore County

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Bayesian coherentism.Lisa Cassell - 2020 - Synthese 198 (10):9563-9590.

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References found in this work

Belief and the Will.Bas C. van Fraassen - 1984 - Journal of Philosophy 81 (5):235-256.
Commutativity or Holism? A Dilemma for Conditionalizers.Jonathan Weisberg - 2009 - British Journal for the Philosophy of Science 60 (4):793-812.
A note on Jeffrey conditionalization.Hartry Field - 1978 - Philosophy of Science 45 (3):361-367.
Probability kinematics and commutativity.Carl G. Wagner - 2002 - Philosophy of Science 69 (2):266-278.
Reliability for degrees of belief.Jeff Dunn - 2015 - Philosophical Studies 172 (7):1929-1952.

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