We argue that a certain type of many minds (and many worlds) interpretations
of quantum mechanics due to Lockwood (and Deutsch) do not provide a coherent
interpretation of the quantum mechanical probabilistic algorithm. By contrast,
in Albert and Loewer's version of the many minds interpretation there is a
coherent interpretation of the quantum mechanical probabilities. We consider
Albert and Loewer's probability interpretation in the context of Bell-type and
GHZ-type states and argue that it exhibits a certain form of nonlocality which
is, however, much weaker than Bell's nonlocality.Comment: 22 pages, last section rewritten, to appear in British Journal for
the Philosophy of Scienc
