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Objective Bayesian calibration and the problem of non-convex evidence

Wheeler, Gregory (2012) Objective Bayesian calibration and the problem of non-convex evidence. [Preprint]

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    Abstract

    Jon Williamson's Objective Bayesian Epistemology relies upon a calibration norm to constrain credal probability by both quantitative and qualitative evidence. One role of the calibration norm is to ensure that evidence works to constrain a convex set of probability functions. This essay brings into focus a problem for Williamson's theory when qualitative evidence specifies non-convex constraints.


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    Item Type: Preprint
    Keywords: Objective Bayesian epistemology, convex sets, imprecise probabilities
    Subjects: General Issues > Confirmation/Induction
    General Issues > Decision Theory
    Specific Sciences > Probability/Statistics
    Depositing User: Gregory Wheeler
    Date Deposited: 12 Jan 2012 11:54
    Last Modified: 12 Jan 2012 11:54
    Item ID: 8990
    URI: http://philsci-archive.pitt.edu/id/eprint/8990

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