The Principal Principle and subjective Bayesianism

European Journal for Philosophy of Science 10 (1):1-14 (2020)
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Abstract

This paper poses a problem for Lewis’ Principal Principle in a subjective Bayesian framework: we show that, where chances inform degrees of belief, subjective Bayesianism fails to validate normal informal standards of what is reasonable. This problem points to a tension between the Principal Principle and the claim that conditional degrees of belief are conditional probabilities. However, one version of objective Bayesianism has a straightforward resolution to this problem, because it avoids this latter claim. The problem, then, offers some support to this version of objective Bayesianism.

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Jon Williamson
University of Kent

Citations of this work

The Principal Principle and subjective Bayesianism.Christian Wallmann & Jon Williamson - 2020 - European Journal for Philosophy of Science 10 (1):1-14.
On Imprecise Bayesianism in the Face of an Increasingly Larger Outcome Space.Marc Fischer - 2022 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 53 (4):367-379.
Indifference to Anti-Humean Chances.J. Dmitri Gallow - forthcoming - Canadian Journal of Philosophy.

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References found in this work

Higher Order Evidence.David Christensen - 2010 - Philosophy and Phenomenological Research 81 (1):185-215.
Correcting the guide to objective chance.Ned Hall - 1994 - Mind 103 (412):505-518.
Two mistakes about credence and chance.Ned Hall - 2004 - Australasian Journal of Philosophy 82 (1):93 – 111.

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