What do we mean when we say that we have a probabilistic theory of some phenomenon?
If you have a probabilistic theory of a phenomenon, you have a probability distribution whose domain, or sample space, is the set of all possible observations of that phenomenon.
The question is about the apparently epiphenomenal status of the probability measure and how to reconcile that with the probability measure actually adding information content to the theory. This answer is obviously “true”, but it doesn’t actually address my question.
If you have a probabilistic theory of a phenomenon, you have a probability distribution whose domain, or sample space, is the set of all possible observations of that phenomenon.
The question is about the apparently epiphenomenal status of the probability measure and how to reconcile that with the probability measure actually adding information content to the theory. This answer is obviously “true”, but it doesn’t actually address my question.