Everettian quantum mechanics and physical probability: Against the principle of “State Supervenience”.

Everettian quantum mechanics faces the challenge of how to make sense of probability and probabilistic reasoning in a setting where there is typically no unique outcome of measurements. Wallace has built on a proof by Deutsch to argue that a notion of probability can be recovered in the many worlds setting. In particular, Wallace argues that a rational agent has to assign probabilities in accordance with the Born rule. This argument relies on a rationality constraint that Wallace calls state supervenience . I argue that state supervenience is not defensible as a rationality constraint for Everettian agents unless we already invoke probabilistic notions. [ABSTRACT FROM AUTHOR]