You’ve inadvertently hit on the beginnings of an apparent paradox to do with the relationship between numbers and the counting numbers
Suppose the largest number you can have is X and the smallest number you can have is -Y. Then between -Y and X, you can count X+Y numbers which is clearly larger than X. But X is the largest possible number so X+Y doesn’t exist.
Gotta stop you right there. A largest number doesn’t and can’t exist. If we introduce one, paradoxes arise all over the place and the whole system falls apart.
You’ve inadvertently hit on the beginnings of an apparent paradox to do with the relationship between numbers and the counting numbers
Suppose the largest number you can have is X and the smallest number you can have is -Y. Then between -Y and X, you can count X+Y numbers which is clearly larger than X. But X is the largest possible number so X+Y doesn’t exist.
Gotta stop you right there. A largest number doesn’t and can’t exist. If we introduce one, paradoxes arise all over the place and the whole system falls apart.