Quantum probability from subjective likelihood: Improving on Deutsch's proof of the probability rule
David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Studies in History and Philosophy of Science Part B 38 (2):311-332 (2007)
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.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
|Through your library||Configure|
Similar books and articles
David Wallace (2006). Epistemology Quantized: Circumstances in Which We Should Come to Believe in the Everett Interpretation. British Journal for the Philosophy of Science 57 (4):655-689.
Alastair Wilson (2012). Objective Probability in Everettian Quantum Mechanics. British Journal for the Philosophy of Science 64 (4):axs022.
Meir Hemmo (2007). Quantum Probability and Many Worlds. Studies in History and Philosophy of Science Part B 38 (2):333-350.
Hilary Greaves (2004). Understanding Deutsch's Probability in a Deterministic Universe. Studies in History and Philosophy of Modern Physics 35 (3):423-456.
Simon Saunders (forthcoming). What is Probability? Arxiv Preprint Quant-Ph/0412194.
Huw Price, Decision-Based Probabilities in the Everett Interpretation: Comments on Wallace and Greaves.
David Wallace (2010). A Formal Proof of the Born Rule From Decision-Theoretic Assumptions [Aka: How to Prove the Born Rule]. In Simon Saunders, Jon Barrett, Adrian Kent & David Wallace (eds.), Many Worlds? Everett, Quantum Theory, and Reality. OUP.
David Wallace (2003). Everettian Rationality: Defending Deutsch's Approach to Probability in the Everett Interpretation. Studies in History and Philosophy of Science Part B 34 (3):415-439.
Added to index2009-01-28
Total downloads71 ( #15,790 of 1,006,573 )
Recent downloads (6 months)13 ( #8,272 of 1,006,573 )
How can I increase my downloads?