Objective Bayesian Calibration and the Problem of Non-convex Evidence
Gregory R. Wheeler · The British Journal for the Philosophy of Science · 2012
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. 1 Formal Preliminaries 2 A Definition without a Procedure 3 Independence and Epistemic Relevance 4 Conclusion