Hidden Assumptions in the Dutch Book Argument

Theory and Decision 43 (3):293-312 (1997)
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Abstract

Probabilistic theories of rationality claim that degrees of belief have to satisfy the probability axioms in order to be rational. A standard argument to support this claim is the Dutch Book argument. This paper tries to show that, in spite of its popularity, the Dutch Book argument does not provide a foundation for normative theories of rationality. After a presentation of the argument and some of its criticisms a problem is pointed out: the Dutch Book argument applies only to situations with a specific formal structure. Several attempts to justify the argument for more general situations are considered and rejected. The only way to remedy the shortcoming, it is argued, seems to be the acceptance of a far-reaching and highly implausible empirical hypothesis

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Citations of this work

Arguments For—Or Against—Probabilism?Alan Hájek - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer. pp. 229--251.
Arguments for–or against–Probabilism?Alan Hájek - 2008 - British Journal for the Philosophy of Science 59 (4):793-819.
Scotching Dutch Books?Alan Hájek - 2005 - Philosophical Perspectives 19 (1):139-151.
Non-additive degrees of belief.Rolf Haenni - 2009 - In Franz Huber & Christoph Schmidt-Petri (eds.), Degrees of belief. London: Springer. pp. 121--159.

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References found in this work

Truth and probability.Frank Ramsey - 2010 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. New York: Routledge. pp. 52-94.
Coherence and the axioms of confirmation.Abner Shimony - 1955 - Journal of Symbolic Logic 20 (1):1-28.
Fair bets and inductive probabilities.John G. Kemeny - 1955 - Journal of Symbolic Logic 20 (3):263-273.
Changes in the Problem of Inductive Logic.Imre Lakatos - 1968 - In The problem of inductive logic. Amsterdam,: North Holland Pub. Co.. pp. 315--417.
Dutch bookies and money pumps.Frederic Schick - 1986 - Journal of Philosophy 83 (2):112-119.

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