"infinity" doesn't exist, it was simply made up by mathematicians because, if it didn't exist, their formulas wouldn't work.
A play on words in the same vein, from physicist JE Cohen (from the book "A random walk in science"):
Alexander the Great was warned by an oracle that if he crossed a certain river he would meet his death. Now forewarned is four-armed, which is an odd number of arms for a man to have. But we all know that man has an even number of arms and the only number which can be odd and even, is infinity; hence Alexander the Great had an infinite number of arms. So, Alexander the Great did not exist because he had an infinite number of arms.
(Works better verbally than in print!)