>set A
>1st value = 0.1
>2nd value = 0.2
>10th value = 0.01
>11th value = 0.11
>12th value = 0.21
>continue to infinity
>final value is 0.999...
>this set is the same size as the number of positive integers
>every single possible value between 0 and 0.999... has been written
>set B
>0.10, 0.1020, 0.102030, etc.
>final value is 0.102030...
>this set is the same size as the number of positive integers
>set A is more than 9 times larger than set B
>set A includes every value from set B
>but set A and B are the same size
>1st value = 0.1
>2nd value = 0.2
>10th value = 0.01
>11th value = 0.11
>12th value = 0.21
>continue to infinity
>final value is 0.999...
>this set is the same size as the number of positive integers
>every single possible value between 0 and 0.999... has been written
>set B
>0.10, 0.1020, 0.102030, etc.
>final value is 0.102030...
>this set is the same size as the number of positive integers
>set A is more than 9 times larger than set B
>set A includes every value from set B
>but set A and B are the same size