Commuting probability revisions: The uniformity rule [Book Review]

Erkenntnis 59 (3):349-364 (2003)
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Abstract

A simple rule of probability revision ensures that the final result ofa sequence of probability revisions is undisturbed by an alterationin the temporal order of the learning prompting those revisions.This Uniformity Rule dictates that identical learning be reflectedin identical ratios of certain new-to-old odds, and is grounded in the oldBayesian idea that such ratios represent what is learned from new experiencealone, with prior probabilities factored out. The main theorem of this paperincludes as special cases (i) Field's theorem on commuting probability-kinematical revisions and (ii) the equivalence of two strategiesfor generalizing Jeffrey's solution to the old evidence problem tothe case of uncertain old evidence and probabilistic new explanation.

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Author's Profile

Carl Wagner
Duke University (PhD)

Citations of this work

Jeffrey conditioning and external Bayesianity.Carl Wagner - 2010 - Logic Journal of the IGPL 18 (2):336-345.
Deterministic Convergence and Strong Regularity.Michael Nielsen - 2018 - British Journal for the Philosophy of Science 71 (4):1461-1491.
Commutativity, Normativity, and Holism: Lange Revisited.Lisa Cassell - 2020 - Canadian Journal of Philosophy 50 (2):159-173.
Rescuing Reflection.Ilho Park - 2012 - Philosophy of Science 79 (4):473-489.

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References found in this work

The Logic of Decision.Richard C. Jeffrey - 1965 - New York, NY, USA: University of Chicago Press.
Theory and Evidence.Clark Glymour - 1982 - Erkenntnis 18 (1):105-130.
Theory and Evidence.Clark Glymour - 1981 - British Journal for the Philosophy of Science 32 (3):314-318.

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