Cirdec said:
Megamario15 said:
Javelin said:
Megamario15 said:
If .999... and 1 were the same, only one would exist.
However, since there are both of them, they mathematically cannot be one and the same.
1 and (0.5 * 2) both exist and are mathematically one and the same.
I don't follow.
Yes, but (.5 * 2) is not one value. .999... is. 1 is a also a single value. Two single values can not be the same.
0,999... is not a value, it's a limit, which happens to be equal to 1.
By definition, .999... is a rational number. However, 1 is also a rational number, but it is in 3 other groups, while .999... is in only one. If they really were one and the same, they would be in all of the same groups.