  In Aristotle’s opinion, the infinite does not exist in practice but only in potential (like the infinite potential division of a fixed distance and the infinite number of people living throughout history in an eternal world). Regarding the question of mathematics, Aristotle denied the possibility of a distinction between different kinds of infinite (some bigger than others) and of the possibility of adjoining something to an infinite number. On the basis of this definition (and other physics theories) the Greek philosopher denied the existence of an infinite body in practice, and hence he denied infinite voids and expansions as well.