by Guest » Sun Mar 03, 2019 8:24 am
Oh, dear. Since this is a translation, it is hard to tell whether this is nonsense or just a bad translation. First, "digits" is the wrong word. There are only 10 "digits", they are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. You mean "counting numbers" or "positive integers". Second, there is no "mathematics" in this, just the assertion that everything must be finite! You give standard proof that there are an infinite number of positive integers- "If there are only a finite number of positive integers, because they are ordered, there must be a largest integer, N. But then N+ 1 is a positive integer that is larger than N, a contradiction"- and simply assert that it is wrong because "everything must be finite".