If Q, then anything follows. (By the Principle of Explosion, a false statement implies anything.) For example, Q implies that I will win $1 billion.
I’m not sure even this is the case.
Maybe there’s a more sophisticsted version of this argument, but at this level, we only know the implication Q=>$1M is true, not that $1M is true. If Q is false, the implication being true says nothing about $1M.
But more generally, I agree there’s no meaningful difference. I’m in the de Finetti school of probability in that I think it only and always expresses our personal lack of knowledge of facts.
I’m not sure even this is the case.
Maybe there’s a more sophisticsted version of this argument, but at this level, we only know the implication Q=>$1M is true, not that $1M is true. If Q is false, the implication being true says nothing about $1M.
But more generally, I agree there’s no meaningful difference. I’m in the de Finetti school of probability in that I think it only and always expresses our personal lack of knowledge of facts.