The insufficiency of the dutch book argument

Studia Logica 87 (1):65 - 71 (2007)
It is a common view that the axioms of probability can be derived from the following assumptions: (a) probabilities reflect (rational) degrees of belief, (b) degrees of belief can be measured as betting quotients; and (c) a rational agent must select betting quotients that are coherent. In this paper, I argue that a consideration of reasonable betting behaviour, with respect to the alleged derivation of the first axiom of probability, suggests that (b) and (c) are incorrect. In particular, I show how a rational agent might assign a ‘probability’ of zero to an event which she is sure will occur.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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References found in this work BETA
Alan Hájek (2005). Scotching Dutch Books? Philosophical Perspectives 19 (1):139–151.
John G. Kemeny (1955). Fair Bets and Inductive Probabilities. Journal of Symbolic Logic 20 (3):263-273.

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Citations of this work BETA
Darrell P. Rowbottom (2008). Intersubjective Corroboration. Studies in History and Philosophy of Science Part A 39 (1):124-132.

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