In article <firstname.lastname@example.org>, WM <email@example.com> wrote:
> On 11 Okt., 21:17, William Hughes <wpihug...@gmail.com> 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 > > > > > 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. No column has completed infinity as > > element. > > Then divide the square and consider the triangle: > > o > oo > ooo > ... > > More than any finite number of zeros in every column but not in any > line?
Appending another line does not increase the length of any line but does increase the length of every column, so columns lengthen but lines do not!
Thus it is perfectly correct to say "More than any finite number of zeros in any column but not in any line" > > > > > the diagonal too has not a completed infinite as elements. > > > > It is also completed > > If the diagonal is completed, then also the last line is there and > completed.
Only if there is a last natural when the set of naturals is ciompleted.
> We can calculate
WM cannot calculate much of anything when he relies on so many false assumptions as he is relying on here! --