This is the question that kept me awake last night.
Some people claim the universe has an infinite number of stars.
If we take it as a given that the universe has infinite space,
but that stars do not consitute the entirety of space,
then that allows a possibility but not an assurity of infinite stars.
If we ever determined that space was, in fact, not infinite, which some suggest, then we would be able to automatically assume that stars are not infinite either (or they would fill up and spill out of the universe).
But, if we were to somehow find out that stars were finite (I'm not sure how we would find this out), would that give us reasonable doubt about the infinity of the universe as well?
I'm not sure that it is actually a math question, but there might be a mathematical answer.