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Stakes and Beliefs

Armendt, Brad (2009) Stakes and Beliefs. [Preprint]

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    Abstract

    The idea that beliefs may be stake-sensitive is explored. This is the idea that the strength with which a single, persistent belief is held may vary and depend upon what the believer takes to be at stake. The stakes in question are tied to the truth of the belief—not, as in Pascal’s wager and other cases, to the belief’s presence. Categorical beliefs and degrees of belief are considered; both kinds of account typically exclude the idea and treat belief as stake-invariant, though an exception is briefly described. The role of the assumption of stake-invariance in familiar accounts of degrees of belief is also discussed, and morals are drawn concerning finite and countable Dutch book arguments.


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    Item Type: Preprint
    Keywords: Belief, Stakes, Degrees of belief, Partial belief, Categorical belief, Stake-sensitive, Stake-invariant, Ramsey, Skyrms, Dutch book, Package principle
    Subjects: Specific Sciences > Probability/Statistics
    General Issues > Decision Theory
    Depositing User: Brad Armendt
    Date Deposited: 22 Sep 2009
    Last Modified: 07 Oct 2010 11:18
    Item ID: 4907
    URI: http://philsci-archive.pitt.edu/id/eprint/4907

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