| MDMAlliance said: Really, the hole I see is that if it eventually did hit one, there should also be an objective point where the switch happened. I can also see why 0.999... is looked at "since it goes on forever, and there cannot be a number between 0.999... and 1, 0.999... has to be 1." I understand that. That doesn't change the fact that it isn't a fixed object in my perspective. Infinity would have to be a fixed object, too. |
Do you think 0.999... is a number at all? If you think it is, then it is definitely a fixed object. There's also a difference between an infinite number of periods and infinity. Also, what do you have against the proof using the sum of a geometric series? Can you tell where it goes wrong? If it goes wrong somewhere, you can point out the exact spot where the error is and you can do it without geometric intuition.
