Simple proof there is no infinity Infinity is something else. Somewhere, in the number pi, are all the phrases you have uttered during your life and, moreover, in the same order in which they were uttered. A little further on, there are all the books that disappeared because of the burning of the Library of Alexandria. In another place, there are all the speeches that Demosthenes gave and that he never wrote, but with the letters inverted, as in a mirror. Yes, the conception of what is infinite is too vast for me to grasp well in finite examples.