Argued with a couple people about this today. Basically the idea is that in a real number system 0.9999999 with 9 extending for infinity, is equal to 1. They are the same number.
I understand the mathematical concept with real numbers, but I prefer the infinitesimal number system when it comes to this. I feel it is far more logical to assume that 0.999... never reaches 1, it just infinitely gets closer and closer, but never becomes 1. This I think is far more representative of physical world realities.
Any math people have any opinion on this?