Generalized Probabilism: Dutch Books and Accuracy Domination [Book Review]

Journal of Philosophical Logic 41 (5):811-840 (2012)
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
Categories (categorize this paper)
DOI 10.1007/s10992-011-9192-4
Options
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 29,827
Through your library
References found in this work BETA
Theories of Vagueness.Rosanna Keefe - 2000 - Cambridge University Press.
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.

View all 16 references / Add more references

Citations of this work BETA
Foundations of Probability.Rachael Briggs - forthcoming - Journal of Philosophical Logic:1-16.
How Tolerant Can You Be? Carnap on Rationality.Florian Steinberger - 2016 - Philosophy and Phenomenological Research 92 (3):645-668.
Rational Illogicality.J. Robert G. Williams - 2018 - Australasian Journal of Philosophy 96 (1):127-141.
Belief Revision, Probabilism, and Logic Choice.Edwin Mares - 2014 - Review of Symbolic Logic 7 (4):647-670.

View all 7 citations / Add more citations

Similar books and articles
Accuracy, Chance, and the Principal Principle.Richard Pettigrew - 2012 - Philosophical Review 121 (2):241-275.
Gradational Accuracy and Nonclassical Semantics.J. R. G. Williams - 2012 - Review of Symbolic Logic 5 (4):513-537.
Arbitrage and the Dutch Book Theorem.Robert Titiev - 1997 - Journal of Philosophical Research 22:477-482.
A Nonpragmatic Vindication of Probabilism.James M. Joyce - 1998 - Philosophy of Science 65 (4):575-603.
Depragmatized Dutch Book Arguments.Patrick Maher - 1997 - Philosophy of Science 64 (2):291-305.
Dutch Book Arguments and Consistency.Colin Howson - 1992 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1992:161 - 168.
Preference-Based Arguments for Probabilism.David Christensen - 2001 - Philosophy of Science 68 (3):356-376.
Is There a Dutch Book Argument for Probability Kinematics?Brad Armendt - 1980 - Philosophy of Science 47 (4):583-588.
Added to PP index
2010-12-22

Total downloads
44 ( #128,095 of 2,211,268 )

Recent downloads (6 months)
3 ( #162,763 of 2,211,268 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature