Countable additivity, dutch books, and the sleeping beauty problem

Jacob Joshua Ross
Cambridge University (PhD)
Currently, it appears that the most widely accepted solution to the Sleeping Beauty problem is the one-third solution. Another widely held view is that an agent’s credences should be countably additive. In what follows, I will argue that these two views are incompatible, since the principles that underlie the one-third solution are inconsistent with the principle of Countable Additivity (hereafter, CA). I will then argue that this incompatibility is a serious problems for thirders, since it undermines one of the central arguments for their position.
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Stalnaker on Sleeping Beauty.Brian Weatherson - 2011 - Philosophical Studies 155 (3):445-456.

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