See Gödel, Escher, Bach [1979, pp. 452–456]) (that's pages 452 to 456 in the original) for more about problems caused by infinite precision, infinite numbers,

See Gödel, Escher, Bach [1979, pp. 452–456]) (that's pages 452 to 456 in the original) for more about problems caused by infinite precision, infinite numbers, and infinite "tape size" (for Turing machines). I and other people would also add "infinite time" as well.