On Friday, June 14, 2013 11:23:28 AM UTC-7, muec...@rz.fh-augsburg.de wrote: > On Friday, 14 June 2013 20:08:07 UTC+2, Zeit Geist wrote: > > > Writing all numbers one line, .111111..., is a Union. > > > > And you believe that a union over sets that are unions of all preceding sets yields more than these sets. Your choice. But not a rational idea. >
The amount of 1's in 1/9 is the same, not more, as the number of lines in being unioned. It's just more than any single finite line has. So?
> > >> The list given above does not contain aleph_0 1's in any direction. > > > > > Really, can you write the whole list then? > > > > That is not relevant as an argument against anti-symmetry. > > You should be able to see from the symmetrical construction that symmetry has to prevail. >
The symmetry does prevIail. The three Unions in the "completed" list all have same number of elements. It's just like in any finite sub-list.
> > > If its finite you should be able to. > > > > "Finite" is not the complement of aleph_0. Finite is the complement of infinite, that means there is no finish, you cannot finish the list. Of course there is no whole list in the sense that no line can be added. >
There is in ZFC, and that is where you supposedly are trying to find a contradiction.
Saying that infinity does not exist in "Reality" and ZFC assumes infinity, does make make ZFC an invalid Mathematical construct.