Quantum probability and many worlds

We discuss the meaning of probabilities in the many worlds interpretation of quantum mechanics. We start by presenting very briefly the many worlds theory, how the problem of probability arises, and some unsuccessful attempts to solve it in the past. Then we criticize a recent attempt by Deutsch to derive the quantum mechanical probabilities from the nonprobabilistic parts of quantum mechanics and classical decision theory. We further argue that the Born probability does not make sense even as an additional probability rule in the many worlds theory. Our conclusion is that the many worlds theory fails to account for the probabilistic statements of standard (collapse) quantum mechanics.
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References found in this work BETA
J. Butterfield (1996). Whither the Minds? British Journal for the Philosophy of Science 47 (2):200-221.
David Deutsch (1999). Quantum Theory of Probability and Decisions. Proceedings of the Royal Society of London:3129--37.

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Citations of this work BETA
Emily Adlam (2014). The Problem of Confirmation in the Everett Interpretation. Studies in History and Philosophy of Science Part B 47:21-32.
Alastair I. M. Rae (2009). Everett and the Born Rule. Studies in History and Philosophy of Science Part B 40 (3):243-250.
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