Is concept of "infinity" viable at all considering that number of states of our Universe is huge but finite. And so is any vocabulary for number forms - it is f

Is concept of "infinity" viable at all considering that number of states of our Universe is huge but finite. And so is any vocabulary for number forms - it is finite. "probability of randomly picking a rational number from [0,1] is exactly 0." If to consider that as a lemma only ... You cannot and will never be able to prove that, right?