Olbers’ Paradox says that in an infinite universe every line of sight will end on a star. Surface brightness is independent of distance (moving a star further away makes it smaller and reduces its flux but not its surface brightness), so why is the night-sky dark rather than uniformly painted at the brightness of an average star?
Now the explanation I have been given is that the universe is $1.4\cdot10^9$ years old so the furthest we can see is $1.4\cdot10^9$ light years away, but the average distance to a star is $2\cdot10^{24}$ light years away, hence the result.
Now suppose hypothetically that the earth (and sun) are still here the way they are now when the universe is $2\cdot10^{24}$ years old, then will an observer on earth looking at the night sky see uniform brightness?