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A formal proof of the Born rule from decision-theoretic assumptions

Wallace, David (2009) A formal proof of the Born rule from decision-theoretic assumptions. [Preprint]

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        Abstract

        I develop the decision-theoretic approach to quantum probability, originally proposed by David Deutsch, into a mathematically rigorous proof of the Born rule in (Everett-interpreted) quantum mechanics. I sketch the argument informally, then prove it formally, and lastly consider a number of proposed ``counter-examples'' to show exactly which premises of the argument they violate. (This is a preliminary version of a chapter to appear --- under the title ``How to prove the Born Rule'' --- in Saunders, Barrett, Kent and Wallace, "Many worlds? Everett, quantum theory and reality", forthcoming from Oxford University Press.)


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        Item Type: Preprint
        Keywords: Everett interpretation Probability in quantum theory
        Subjects: General Issues > Decision Theory
        Specific Sciences > Physics > Quantum Mechanics
        Depositing User: David Wallace
        Date Deposited: 16 Jun 2009
        Last Modified: 07 Oct 2010 11:18
        Item ID: 4709
        URI: http://philsci-archive.pitt.edu/id/eprint/4709

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