Measurement outcomes and probability in Everettian quantum mechanics

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (1):153-169 (2006)
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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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David Baker
University of Michigan, Ann Arbor

Citations of this work

Many-worlds interpretation of quantum mechanics.Lev Vaidman - 2008 - Stanford Encyclopedia of Philosophy.
Branching and Uncertainty.Simon Saunders & David Wallace - 2008 - British Journal for the Philosophy of Science 59 (3):293-305.
Many Worlds and Schrodinger's First Quantum Theory.Valia Allori, Sheldon Goldstein, Roderich Tumulka & Nino Zanghì - 2011 - British Journal for the Philosophy of Science 62 (1):1-27.

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References found in this work

Reasons and Persons.Joseph Margolis - 1986 - Philosophy and Phenomenological Research 47 (2):311-327.
Quantum Theory of Probability and Decisions.David Deutsch - 1999 - Proceedings of the Royal Society of London:3129--37.
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.
Quantum probability from subjective likelihood: Improving on Deutsch's proof of the probability rule.David Wallace - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):311-332.
Everettian rationality: defending Deutsch's approach to probability in the Everett interpretation.David Wallace - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):415-439.

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