Quantum Sleeping Beauty

Analysis 67 (1):59-65 (2007)
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Abstract

The Sleeping Beauty paradox in epistemology and the many-worlds interpretation of quantum mechanics both raise problems concerning subjective probability assignments. Furthermore, there are striking parallels between the two cases; in both cases personal experience has a branching structure, and in both cases the agent loses herself among the branches. However, the treatment of probability is very different in the two cases, for no good reason that I can see. Suppose, then, that we adopt the same treatment of probability in each case. Then the dominant ‘thirder’ solution to the Sleeping Beauty paradox becomes incompatible with the tenability of the many-worlds interpretation.

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Peter J. Lewis
Dartmouth College

Citations of this work

Many-worlds interpretation of quantum mechanics.Lev Vaidman - 2008 - Stanford Encyclopedia of Philosophy.
Time-Slice Rationality and Self-Locating Belief.David Builes - 2020 - Philosophical Studies 177 (10):3033-3049.
Confirmation in a Branching World: The Everett Interpretation and Sleeping Beauty.Darren Bradley - 2011 - British Journal for the Philosophy of Science 62 (2):323-342.
Probability in the Everett interpretation.Hilary Greaves - 2007 - Philosophy Compass 2 (1):109–128.

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References found in this work

Sleeping beauty: Reply to Elga.David Lewis - 2001 - Analysis 61 (3):171–76.
Understanding Deutsch's probability in a deterministic universe.Hilary Greaves - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (3):423-456.
Worlds in the Everett interpretation.David Wallace - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (4):637-661.

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