Journal of Philosophical Logic 41 (5):811-840 (2012)

Authors
Robert Williams
University of Leeds
Abstract
Jeff Paris proves a generalized Dutch Book theorem. If a belief state is not a generalized probability then one faces ‘sure loss’ books of bets. In Williams I showed that Joyce’s accuracy-domination theorem applies to the same set of generalized probabilities. What is the relationship between these two results? This note shows that both results are easy corollaries of the core result that Paris appeals to in proving his dutch book theorem. We see that every point of accuracy-domination defines a dutch book, but we only have a partial converse
Keywords Dutch book  Probability  Accuracy  conditionalization
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DOI 10.1007/s10992-011-9192-4
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References found in this work BETA

Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
A Mathematical Theory of Evidence.Glenn Shafer - 1976 - Princeton University Press.
A Nonpragmatic Vindication of Probabilism.James M. Joyce - 1998 - Philosophy of Science 65 (4):575-603.
Theories of Vagueness.Rosanna Keefe - 2000 - Cambridge University Press.

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Citations of this work BETA

Externalism and Exploitability.Nilanjan Das - forthcoming - Philosophy and Phenomenological Research.
Rational Probabilistic Incoherence.Michael Caie - 2013 - Philosophical Review 122 (4):527-575.
Rational Illogicality.J. Robert G. Williams - 2018 - Australasian Journal of Philosophy 96 (1):127-141.
Graded Incoherence for Accuracy-Firsters.Glauber De Bona & Julia Staffel - 2017 - Philosophy of Science 84 (2):189-213.

View all 21 citations / Add more citations

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