Cec wrote:However, I continue to be unsure about this but if I was required to give a definite "yes" or "no" answer I'd still lean towards the answer never reaching 1 unless infinity can be reached which doesn't seem possible.

You (Cec) have to understand that 0.999(repeating) is NOT a sequence of numbers, it is a real number equal to 1, so the expresion "0.999... reaching 1" is nonsense.

In the past times, people did not accept that negative integer numbers "existed", because we can not "touch" it; we can "touch" 3, ie, we can touch a set of 3 elements, for instance, of 3 oranges, but we can not touch -3 oranges.

Irrational numbers did not exist too, because they can not have the form a/b, where a and b are integers.

Then it came complex numbers, infinities and so on.

Bigtone53 wrote:Unfortunately, infinity is a bit like Animal Farm's animals. All infinities are infinite, but some are more infinite than others.

Blame Geog Cantor and his infinity of infinities

http://en.wikipedia.org/wiki/Georg_Cantor

This might be too abstract for some people here. But for the records, there are a infinite number of "different" infinites.