Note that you can take infinite sums, without being able to take all possible infinite sums.
I suspect it looks like you have a prior distribution, and the allowable probability distributions are those that you can get to from this distribution using finitely many bits of evidence.
Note that you can take infinite sums, without being able to take all possible infinite sums.
I suspect it looks like you have a prior distribution, and the allowable probability distributions are those that you can get to from this distribution using finitely many bits of evidence.