>>9890134

The next number after 1 is 2. The number after 0 is 1. All “numbers” between 0 and 1 are relationships between a part and a whole. So the smallest fraction after 1 is simply dependent on the denominator, since the numerator is always 1. But there is no limit to how large the number can be, so there is no limit to how small the fraction can be. Since there will always be a 1 in the numerator, the part never equals 0. Similarly, with 0.999... there will always be a difference of 1 between the numerator and the denominator. Write out the differences as you increase n:

1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1......

How does this ever magically become 0?

But all this is only true abstractly. It has not been proven that there exist an infinite amount of units in the universe, so there could be a limit to how small a single unit could be to the total amount of units in reality.