In Simon Saunders, Jon Barrett, Adrian Kent & David Wallace (eds.), Many Worlds?: Everett, Quantum Theory & Reality. Oxford University Press (2009)
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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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References found in this work BETA
A Subjectivist’s Guide to Objective Chance.David K. Lewis - 1980 - In Richard C. Jeffrey (ed.), Studies in Inductive Logic and Probability, Volume II. Berkeley: University of California Press. pp. 263-293.
Elbow Room: The Varieties of Free Will Worth Wanting.Gary Watson - 1986 - Journal of Philosophy 83 (9):517-522.
Paradoxes of Irrationality.Donald Davidson - 1982 - In Problems of Rationality. Oxford University Press.
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Citations of this work BETA
Many Worlds: Decoherent or Incoherent?Karim P. Y. Thébault & Richard Dawid - 2015 - Synthese 192 (5):1559-1580.
Against the Empirical Viability of the Deutsch–Wallace–Everett Approach to Quantum Mechanics.Richard Dawid & Karim P. Y. Thébault - 2014 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 47:55-61.
Analysis of Wallace’s Proof of the Born Rule in Everettian Quantum Mechanics: Formal Aspects.André L. G. Mandolesi - 2018 - Foundations of Physics 48 (7):751-782.
Pure Wave Mechanics and the Very Idea of Empirical Adequacy.Jeffrey A. Barrett - 2015 - Synthese 192 (10):3071-3104.
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