Probability, self‐location, and quantum branching

Philosophy of Science 76 (5):1009-1019 (2009)
The main problem with the many‐worlds theory is that it is not clear how the notion of probability should be understood in a theory in which every possible outcome of a measurement actually occurs. In this paper, I argue for the following theses concerning the many‐worlds theory: (1) If probability can be applied at all to measurement outcomes, it must function as a measure of an agent’s self‐location uncertainty. (2) Such probabilities typically violate reflection. (3) Many‐worlds branching does not have sufficient structure to admit self‐location probabilities. (4) Decision‐theoretic arguments do not solve this problem. †To contact the author, please write to: Department of Philosophy, University of Miami, P.O. Box 248054, Coral Gables, FL 33124‐4670; e‐mail:
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DOI 10.1086/605805
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References found in this work BETA
David Wallace (2003). Everett and Structure. Studies in History and Philosophy of Science Part B 34 (1):87-105.
Hilary Greaves (2004). Understanding Deutsch's Probability in a Deterministic Universe. Studies in History and Philosophy of Modern Physics 35 (3):423-456.
Peter J. Lewis (2007). Uncertainty and Probability for Branching Selves. Studies in History and Philosophy of Science Part B 38 (1):1-14.

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Citations of this work BETA
Christina Conroy (2012). The Relative Facts Interpretation and Everett's Note Added in Proof. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (2):112-120.

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