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Wheeler, Gregory (2012): Objective Bayesian Calibration and the Problem of Non-convex Evidence. In: The British Journal for the Philosophy of Science, Vol. 63, No. 4: pp. 841-850

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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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