Think of it this way. Between 1 and 1.1 there are an infinite set of numbers, while at the same time there are an infinite set of numbers between 1 and 1.01. Logic tells us there should be ten times as many numbers between the latter but that would mean one set of infinity is larger than another set of infinity.
But they cannot be counted, or should I say enumerated, because they’re infinite.
Infinite is a state that cannot be enumerated. Logic tells us that, too.
Kurt Godel has the only valid answer. An infinite number cannot be said to exist until it is described.
Professor Jennings explains this theory to Pinto: