No, if you really think about it. If you take 1-.99999999~, you will get .0000000~. Since its an infinitive, it will never have a 1 in it. Thus, making another example proving .9999~=1. Thank you for that.
Just because you can't write out 0.0000000~1 on paper doesn't mean that you can count the 1 at the "end" out. The ~1 is a concept that it gets as close to 0 but never reaches 0.
Oh, and go to your computer's calculator. Type in 1 - .99999999 (as many 9s as it will allow). The answer you will get is:
.0000000000000
000001
The 1 at the end is the concept of the ~1. You might not be able to prove or disprove it with calculators or on paper, but it's there... just like ~9 is there at the "end" of .999999999~
------------------------------------------------------------------
Another aspect: I realize that the infinancy never ends, but what hasn't been mentioned is that the farther to the right you go, the smaller that number is worth. Which brings in another theory: half life. Examples:
Ex 1) If I walk half the distance from here to uptown, and then half the distance from that point to uptown, then half the distance from that to uptown, etc... I will NEVER reach uptown.
Ex 2) If I go 99% of the way to uptown, and then go 99% of the way from that point to uptown, and then go 99% of the way from that point to uptown, etc... I will NEVER reach uptown.
Ex 3) If I go 99% of the way from 0 to 1 (.99), and then go 99% of the way from that point to 1 (.9999), and then go... etc... It will NEVER reach 1. Ever.
You could keep going to the right forever, but eventually you would need that ~1 to tip the number over to a whole number of 1. Word.