Greaves, Hilary (2004) Understanding Deutsch's probability in a deterministic multiverse. [Preprint]

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Abstract
Difficulties over probability have often been considered fatal to the Everett interpretation of quantum mechanics. Here I argue that the Everettian can have everything she needs from `probability' without recourse to indeterminism, ignorance, primitive identity over time or subjective uncertainty: all she needs is a particular *rationality principle*. The decisiontheoretic approach recently developed by Deutsch and Wallace claims to provide just such a principle. But, according to Wallace, decision theory is itself applicable only if the correct attitude to a future Everettian measurement outcome is subjective uncertainty. I argue that subjective uncertainty is not to be had, but I offer an alternative interpretation that enables the Everettian to live without uncertainty: we can justify Everettian decision theory on the basis that an Everettian should *care about* all her future branches. The probabilities appearing in the decisiontheoretic representation theorem can then be interpreted as the degrees to which the rational agent cares about each future branch. This reinterpretation, however, reduces the intuitive plausibility of one of the DeutschWallace axioms (Measurement Neutrality).
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Item Type:  Preprint  

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Commentary on:  Wallace, David (2002) Quantum Probability and Decision Theory, Revisited. [Preprint]  
Additional Information:  To appear in Studies in the History and Philosophy of Modern Physics, September 2004.  
Keywords:  Quantum mechanics Everett interpretation Many worlds interpretation Decision theory Probability  
Subjects:  Specific Sciences > Probability/Statistics General Issues > Decision Theory Specific Sciences > Physics > Quantum Mechanics 

Depositing User:  Hilary Greaves  
Date Deposited:  03 May 2004  
Last Modified:  07 Oct 2010 15:12  
Item ID:  1742  
URI:  http://philsciarchive.pitt.edu/id/eprint/1742 
Commentary/Response Threads

Wallace, David
Quantum Probability and Decision Theory, Revisited. (deposited 18 Nov 2002)
 Baker, David Measurement Outcomes and Probability in Everettian Quantum Mechanics. (deposited 21 May 2006)
 Greaves, Hilary Understanding Deutsch's probability in a deterministic multiverse. (deposited 03 May 2004) [Currently Displayed]
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