On 15 Jan., 15:32, forbisga...@gmail.com wrote: > Only the infinite expansion will > do where the termial repeating sequense is identified as above.
It will do? It will *never* do! Never ready, that is the meaning of unfinished work. > > You know this but are just playing games. You also know that some reals > are irrational and do not have a termial repeating sequence. Just as > with the rationals only the infinite expansion will equal itself--all elese > are approximations. For most human purposes sufficiently close approximations > are good enough
and other decimal approximations do not exist. You may say, they are never available. Two parallels never cross each other. That is tantamount to "cross each other in the infinite".
But we can state: If parallels cross each other and irrationals have complete decimal expansions then Cantor is right. Or better: Only in the reals where parallels cross each other and irrationals have complete decimal expansions Cantor is right.