Measurement outcomes and probability in Everettian quantum mechanics

Abstract
The decision-theoretic account of probability in the Everett or many-worlds interpretation, advanced by David Deutsch and David Wallace, is shown to be circular. Talk of probability in Everett presumes the existence of a preferred basis to identify measurement outcomes for the probabilities to range over. But the existence of a preferred basis can only be established by the process of decoherence, which is itself probabilistic.
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DOI 10.1016/j.shpsb.2006.05.003
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References found in this work BETA
Understanding Deutsch's Probability in a Deterministic Universe.Hilary Greaves - 2004 - Studies in History and Philosophy of Modern Physics 35 (3):423-456.
Quantum Theory of Probability and Decisions.David Deutsch - 1999 - Proceedings of the Royal Society of London:3129--37.
Uncertainty and Probability for Branching Selves.Peter J. Lewis - 2007 - Studies in History and Philosophy of Science Part B 38 (1):1-14.
Everettian Rationality: Defending Deutsch's Approach to Probability in the Everett Interpretation.David Wallace - 2003 - Studies in History and Philosophy of Science Part B 34 (3):415-439.

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Citations of this work BETA
Branching and Uncertainty.Simon Saunders & D. Wallace - 2008 - British Journal for the Philosophy of Science 59 (3):293-305.
Many Worlds and Schrodinger's First Quantum Theory.V. Allori, S. Goldstein, R. Tumulka & N. Zanghi - 2011 - British Journal for the Philosophy of Science 62 (1):1-27.
Evidence and Uncertainty in Everett's Multiverse.Paul Tappenden - 2011 - British Journal for the Philosophy of Science 62 (1):99-123.
On the Everettian Epistemic Problem.Hilary Greaves - 2006 - Studies in History and Philosophy of Modern Physics 38 (1):120-152.

View all 15 citations / Add more citations

Similar books and articles
Quantum Probability and Many Worlds.Meir Hemmo - 2007 - Studies in History and Philosophy of Science Part B 38 (2):333-350.
Uncertainty and Probability for Branching Selves.Peter J. Lewis - 2007 - Studies in History and Philosophy of Science Part B 38 (1):1-14.
Two Dogmas About Quantum Mechanics.Jeffrey Bub & Itamar Pitowsky - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.
Everett and Evidence.Hilary Greaves & Wayne C. Myrvold - 2010 - In Simon Saunders, Jonathan Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press.
Understanding Deutsch's Probability in a Deterministic Universe.Hilary Greaves - 2004 - Studies in History and Philosophy of Modern Physics 35 (3):423-456.

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