Measurement outcomes and probability in Everettian quantum mechanics

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
Hilary Greaves (2004). Understanding Deutsch's Probability in a Deterministic Universe. Studies in History and Philosophy of Modern Physics 35 (3):423-456.
David Deutsch (1999). Quantum Theory of Probability and Decisions. Proceedings of the Royal Society of London:3129--37.
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
Simon Saunders & D. Wallace (2008). Branching and Uncertainty. British Journal for the Philosophy of Science 59 (3):293-305.
Paul Tappenden (2011). Evidence and Uncertainty in Everett's Multiverse. British Journal for the Philosophy of Science 62 (1):99-123.
Hilary Greaves (2007). On the Everettian Epistemic Problem. Studies in History and Philosophy of Modern Physics 38 (1):120-152.

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