Published online by Cambridge University Press: 01 April 2022
An outline for a modal interpretation in terms of possible worlds is presented. The so-called Schmidt histories are taken to correspond to the physically possible worlds. The decoherence function defined in the histories formulation of quantum theory is taken to prescribe a non-classical probability measure over the set of the possible worlds. This is shown to yield dynamics in the form of transition probabilities for occurrent events in each world. The role of the consistency condition is discussed.
I would like to thank Jeremy Butterfield, Itamar Pitowsky, Pieter Vermaas, and especially, Guido Bacciagaluppi for many discussions and valuable comments.
Department of Philosophy, Cambridge University, Wolfson College, Cambridge, England CB3 9BB.