Quantum probability and many worlds

Abstract
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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DOI 10.1016/j.shpsb.2006.04.005
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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.
Hilary Putnam (2005). A Philosopher Looks at Quantum Mechanics (Again). British Journal for the Philosophy of Science 56 (4):615-634.
David Wallace (2003). Everett and Structure. Studies in History and Philosophy of Science Part B 34 (1):87-105.

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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: Studies in History and Philosophy of Modern Physics 47:21-32.
Richard Dawid & Karim P. Y. Thébault (2014). Against the Empirical Viability of the Deutsch–Wallace–Everett Approach to Quantum Mechanics. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:55-61.
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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