British Journal for Philosophy of Science (forthcoming)
|Abstract||David Wallace has given a decision-theoretic argument for the Born Rule in the context of Everettian quantum mechanics (EQM). This approach promises to resolve some long-standing problems with probability in EQM, but it has faced plenty of resistance. One kind of objection (the ‘Incoherence problem’) charges that the requisite notion of decision-theoretic uncertainty is unavailable in the Everettian picture, so that the argument cannot gain any traction; another kind of objection grants the proof’s applicability and targets the premises. In this paper I propose some novel principles connecting the physics of EQM with the metaphysics of modality, and argue that in the resulting framework the Incoherence problem does not arise. These principles also help to justify one of the most controversial premises of Wallace’s argument, ‘branching indifference’. Absent any a priori reason to align the metaphysics with the physics in some other way, we can adopt the proposed principles on grounds of theoretical utility. The upshot is that Everettians can, after all, make clear sense of objective probability.|
|Keywords||probability everett interpretation quantum mechanics modal metaphysics|
|Through your library||Configure|
Similar books and articles
Alastair Wilson (2012). Everettian Quantum Mechanics Without Branching Time. Synthese 188 (1):67-84.
Peter J. Lewis (2010). Probability in Everettian Quantum Mechanics. Manuscrito 33:285--306.
Hilary Greaves (2004). Understanding Deutsch's Probability in a Deterministic Universe. Studies in History and Philosophy of Modern Physics 35 (3):423-456.
Peter J. Lewis (2007). Uncertainty and Probability for Branching Selves. Studies in History and Philosophy of Science Part B 38 (1):1-14.
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.
Simon Saunders (forthcoming). What is Probability? Arxiv Preprint Quant-Ph/0412194.
David Baker (2007). Measurement Outcomes and Probability in Everettian Quantum Mechanics. Studies in History and Philosophy of Science Part B 38 (1):153-169.
Meir Hemmo (2007). Quantum Probability and Many Worlds. Studies in History and Philosophy of Science Part B 38 (2):333-350.
Neal Grossman (1972). Quantum Mechanics and Interpretations of Probability Theory. Philosophy of Science 39 (4):451-460.
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.
Added to index2012-03-14
Total downloads26 ( #47,569 of 549,005 )
Recent downloads (6 months)4 ( #19,181 of 549,005 )
How can I increase my downloads?