An Objective Justification of Bayesianism I: Measuring Inaccuracy

作者:Leitgeb Hannes*; Pettigrew Richard
来源:Philosophy of Science, 2010, 77(2): 201-235.
DOI:10.1086/651317

摘要

In this article and its sequel, we derive Bayesianism from the following norm: Accuracy-an agent ought to minimize the inaccuracy of her partial beliefs. In this article, we make this norm mathematically precise. We describe epistemic dilemmas an agent might face if she attempts to follow Accuracy and show that the only measures of inaccuracy that do not create these dilemmas are the quadratic inaccuracy measures. In the sequel, we derive Bayesianism from Accuracy and show that Jeffrey Conditionalization violates Accuracy unless Rigidity is assumed. We describe the alternative updating rule that Accuracy mandates in the absence of Rigidity.

  • 出版日期2010-4