An Objective Justification of Bayesianism II: The Consequences of Minimizing Inaccuracy

Philosophy of Science 77 (2):236-272 (2010)
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Abstract

One of the fundamental problems of epistemology is to say when the evidence in an agent’s possession justifies the beliefs she holds. In this paper and its prequel, we defend the Bayesian solution to this problem by appealing to the following fundamental norm: Accuracy An epistemic agent ought to minimize the inaccuracy of her partial beliefs. In the prequel, we made this norm mathematically precise; in this paper, we derive its consequences. We show that the two core tenets of Bayesianism follow from the norm, while the characteristic claim of the Objectivist Bayesian follows from the norm along with an extra assumption. Finally, we consider Richard Jeffrey’s proposed generalization of conditionalization. We show not only that his rule cannot be derived from the norm, unless the requirement of Rigidity is imposed from the start, but further that the norm reveals it to be illegitimate. We end by deriving an alternative updating rule for those cases in which Jeffrey’s is usually supposed to apply.

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Author Profiles

Richard Pettigrew
University of Bristol
Hannes Leitgeb
Ludwig Maximilians Universität, München

References found in this work

The Logic of Scientific Discovery.Karl Popper - 1959 - Studia Logica 9:262-265.
Truth and probability.Frank Ramsey - 2010 - In Antony Eagle, Philosophy of Probability: Contemporary Readings. New York: Routledge. pp. 52-94.
Probability Theory. The Logic of Science.Edwin T. Jaynes - 2002 - Cambridge University Press: Cambridge. Edited by G. Larry Bretthorst.
A nonpragmatic vindication of probabilism.James M. Joyce - 1998 - Philosophy of Science 65 (4):575-603.

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