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.

  • 1Formal Preliminaries

  • 2A Definition without a Procedure

  • 3Independence and Epistemic Relevance

  • 4Conclusion

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