On 27 Okt., 12:04, William Hughes <wpihug...@gmail.com> wrote: > <snip yet another version of your latest > "proof" that "actual infinity" is inconsistent> > > Whether b_oo exists or not we have C=N=L.
But if it does not exist, we have no cardinal number of a transfinite set at all. > > Your "there are not the same number of lines > and columns" proof does not work. You need > to abandon it.
That would only be the case if you claimed that b_oo could not be distinguished from the union of all b_j. But that would mean b_oo is not a set of its own. Again Cantor would fail, because then also d_oo would not be more than the union of the d_j. Then Cantor's diagonal argument would fail.
