David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
It is often objected that the Everett interpretation of QM cannot make sense of quantum probabilities, in one or both of two ways: either it can’t make sense of probability at all, or it can’t explain why probability should be governed by the Born rule. David Deutsch has attempted to meet these objections. He argues not only that rational decision under uncertainty makes sense in the Everett interpretation, but also that under reasonable assumptions, the credences of a rational agent in an Everett world should be constrained by the Born rule. David Wallace has developed and defended Deutsch’s proposal, and greatly clarified its conceptual basis. In particular, he has stressed its reliance on the distinguishing symmetry of the Everett view, viz., that all possible outcomes of a quantum measurement are treated as equally real. The argument thus tries to make a virtue of what has usually been seen as the main obstacle to making sense of probability in the Everett world. In this note I outline some objections to the Deutsch-Wallace argument, and to related proposals by Hilary Greaves about the epistemology of Everettian QM. (In the latter case, my arguments include an appeal to an Everettian analogue of the Sleeping Beauty problem.) The common thread to these objections is that the symmetry in question remains a very significant obstacle to making sense of probability in the Everett interpretation.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library||
References found in this work BETA
No references found.
Citations of this work BETA
Dennis Dieks (2007). Probability in Modal Interpretations of Quantum Mechanics. Studies in History and Philosophy of Science Part B 38 (2):292-310.
Peter J. Lewis (2013). The Doomsday Argument and the Simulation Argument. Synthese 190 (18):4009-4022.
Similar books and articles
Simon Saunders (forthcoming). What is Probability? Arxiv Preprint Quant-Ph/0412194.
David Wallace (2007). Quantum Probability From Subjective Likelihood: Improving on Deutsch's Proof of the Probability Rule. Studies in History and Philosophy of Science Part B 38 (2):311-332.
Hilary Greaves (2007). Probability in the Everett Interpretation. Philosophy Compass 2 (1):109–128.
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 (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.
David Baker (2007). Measurement Outcomes and Probability in Everettian Quantum Mechanics. Studies in History and Philosophy of Science Part B 38 (1):153-169.
Hilary Greaves (2004). Understanding Deutsch's Probability in a Deterministic Universe. Studies in History and Philosophy of Modern Physics 35 (3):423-456.
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 downloads44 ( #41,341 of 1,101,892 )
Recent downloads (6 months)14 ( #16,133 of 1,101,892 )
How can I increase my downloads?