On 5 Feb., 21:55, William Hughes <wpihug...@gmail.com> wrote: > On Feb 5, 6:02 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > <snip> > > >... one cannot even put all natural numbers in > > correspondence with all natural numbers. > > However, one can put every natural number in > correspondence with every natural number.
One can have that by belief or decreed by the powers that be. n <--> n is the finite expression of this belief. But its validity is dubious because one cannot have possibly in a possible list that contains every finite initial sequence of the sequence of natural numbers the sequence s of every finite initial segment of the sequence of natural numbers.