One way size goes seems to be:
Limited/finite, actual infinity (countable), potential infinity (uncountable/hyperfinite/compact regions).
On limited and uncountable inputs, we can define a uniform distribution naturally.
A uniform distribution on a countable set, there’s no natural way to do that. So in a way, they’re “bigger”.
One way size goes seems to be:
Limited/finite, actual infinity (countable), potential infinity (uncountable/hyperfinite/compact regions).
On limited and uncountable inputs, we can define a uniform distribution naturally.
A uniform distribution on a countable set, there’s no natural way to do that. So in a way, they’re “bigger”.