I remember that 1/n is saying 1 with respect to n increments. 1/4 is 1 out of 4 buckets (of 1 integer). If you have 1/no buckets, it is an amount, but it is impossible to know how much. It's measuring a caterpillar without a unit of measure. "He's 7" "Ok, Im sure he is, but 7 what?" 1/0 may approach 0, but it is not 0.