Quantum probability from subjective likelihood: Improving on Deutsch's proof of the probability rule |
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| Affiliation: | 1. Department of Philosophy, Logic and Scientific Method, London School of Economics and Political Science, Houghton Street, London WC2A 2AE, UK;2. Tilburg Center for Logic and Philosophy of Science, Tilburg University, 5000 LE Tilburg, The Netherlands;1. Center for Einstein Studies, Boston University, Boston, MA 02215, USA;2. Physics Department, Wellesley College, 106 Central Street, Wellesley, MA 02481, USA;1. Department of Humanities and Philosophy, University of Florence, Italy;2. Unit for HPS, University of Sydney, Australia;1. Institute for Theoretical Physics, University of Amsterdam, the Netherlands;2. Vossius Center for the History of Humanities and Sciences, University of Amsterdam, the Netherlands;3. Trinity College, Cambridge, United Kingdom;4. Department of History and Philosophy of Science, University of Cambridge, United Kingdom;5. Black Hole Initiative, Harvard University, United States |
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| Abstract: | I present a proof of the quantum probability rule from decision-theoretic assumptions, in the context of the Everett interpretation. The basic ideas behind the proof are those presented in Deutsch's recent proof of the probability rule, but the proof is simpler and proceeds from weaker decision-theoretic assumptions. This makes it easier to discuss the conceptual ideas involved in the proof, and to show that they are defensible. |
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