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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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