[Taz-in-Space]

OK. Think of it this way:

Nobody has ever written down a SERIOUS try at the ultimate number. At some point, every attempt was halted because of the time factor.
AND every attempt will be that way unless you know of a being that NEVER DIES. So just because these lesser numbers have always been able to be added to one, is no PROOF that there is no number where this is NOT the case.

Thus you LOGICALLY proved it, but NOT physically proved it!

The concept of infinity is not provable directly by its very nature. That is my whole point and the reason that I dislike the whole concept!