All numbers are infinite. For example, the number "1" is infinite. Why? Because technically, "1" is
"...000000000001.00000000000..." We just simplify it to "1." "0" is still a number, and it exists before, and after, all integer numbers. This number is a "normal" "1". It is off by "0."
"...00000000000.9999999999..." is not a "normal" "1". It is not a "1" at all. In fact, it's a "false" "1." Why? Because unlike the "normal" "1," it is not off by "0," (or "...000000000.00000000...") but is off by "...0000000000.000000000...1"
Notice how there is no "1" at the end of the infinite number of "0s," before the decimanl point, found in the number "0," which happens to be the amount the "normal" "1" is off by.
There is a "1" at the end of the infinite number of "0s," before the decimal point, found in the number "...000000000.000000001...," which happens to be the amount the "false" "1" is off by.
The number "1" has value, unlike the number "0." If the number "1" exists in the number "...00000000.0000001...," which the amount the "false" "1" (remember, which is "...000000.99999...") if off by, which it does, than the "false" "1" truly is "false," since a "normal" "1" cannot have any other number, besides the number "0," before and after it.
