On Saturday, June 15, 2013 1:10:46 AM UTC-7, muec...@rz.fh-augsburg.de wrote: > On Friday, 14 June 2013 20:30:26 UTC+2, Zeit Geist wrote: > > > > > > > > > Read what I wrote, dummy. > > > > That is required, and it can't be fulfilled and that is why the Well-Ordering of Q respecting magnitude is impossible! > > > > That shows that by adding rationals one by one it is impossible to exhaust all of them. Therefore countability is a nonsense notion. > > > > > The rationals and the naturals are NOT order isomorphic. > > > > Neither they are equinumerous. >
Virgil supplied a bijection between Q and N.
> > > Also, I'm sure, whatever proof this is from, it's about Cardinals and not Ordinals. Do you know the difference? > > >
Answer? Do you know the difference?
> > That does not play a role in a case where we only have to show that every enumerated rational eventually will be taken into the well-ordered set. >
Since you used "well-ordered" in that statement it does make a difference.