In article <9bb26fcb-2e96-4ce2-8691-e34143682f5d@m5g2000vbe.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 11 Okt., 21:17, William Hughes <wpihug...@gmail.com> wrote: > > On Oct 11, 11:38 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > > > > I don't believe that you have fully recognized the implications. > > > If the number of lines does equal the number of columns in the > > > "infinite square", > > > > We both agree that they do > > Fine. Then we have always the same number of digits in the infinite > square's lines, columns and diagonal: > > 111... > 111... > 111... > ... > > > > > then there are as many elements in the diagonal as > > > in lines and columns. > > > As no line has a completed infinity as element, > > > the diagonal too has not a completed infinite as elements. > > > > Correct but irrelevant. > > Not at all. If there is no completed infinity of digits 1 in the > diagonal
But in a sensible system, like ZFC, there will be such completed infinities of digits, as in the mapping NxN -> {1}, which is an effective model for your infinite square
