For a finite set, one can describe a uniform distribution. There isn’t a natural
way to do so for a countable set. But for a hyperfinite set, one can describe a
uniform distribution through a probability density. So in some ways the
countable is “bigger”.
finite, actual infinity, potential infinity
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For a finite set, one can describe a uniform distribution. There isn’t a natural way to do so for a countable set. But for a hyperfinite set, one can describe a uniform distribution through a probability density. So in some ways the countable is “bigger”.