Well, if you’re willing to relax the third axiom of probability to finite additivity you can. Alternatively, use an uncountable state space, e.g., the space of all ultra-filters on Turing machines. Also, while we’re on the subject, there are numerous types of quasi-probability distributions worth considering.
Well, if you’re willing to relax the third axiom of probability to finite additivity you can. Alternatively, use an uncountable state space, e.g., the space of all ultra-filters on Turing machines. Also, while we’re on the subject, there are numerous types of quasi-probability distributions worth considering.
Ah, fair enough. I had been assuming only real probabilities.