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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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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 16:54
Last Modified: 12 Jan 2012 16:54
Item ID: 8990

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