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Document Details :

Title: When Sleeping Beauty First Awakes
Author(s): ATKINSON, David , PEIJNENBURG, Jeanne
Journal: Logique et Analyse
Volume: 238    Date: 2017   
Pages: 129-150
DOI: 10.2143/LEA.238.0.3212069

Abstract :
Ever since its introduction, the Sleeping Beauty Problem has been fought over by the halfers against the thirders. We distinguish three interpretations of the original problem as described in Adam Elga’s seminal paper on the subject. Elga’s intended interpretation leads to the position of the thirders; but the other readings result in that of the halfers. We show that all three of these results can be obtained by making use of objective probabilities in a four-dimensional rather than a three-dimensional space. Our reasoning avoids various problems, not only of Dutch Book and other subjectivist approaches, but also of earlier treatments in terms of objective probabilities.

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