On 7 Feb., 15:21, William Hughes <wpihug...@gmail.com> wrote: > On Feb 7, 3:05 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > On 7 Feb., 14:44, William Hughes <wpihug...@gmail.com> wrote: > > > > On Feb 7, 2:32 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > I do not agree that <snip> ~6 > > > > follows from 3. > > > > Nor does anyone else. > > > Then d is not actually infinite. > > Nope, that does not follow. 6 just says that > all FISONS of d are terminating > It does not say d is terminating.
And 4 just says that all FISs of the list do not contain d. It does not say that a nonterminating list does not contain d.
In both cases only all natural numbers are considered. Matheological remainings, if acceptable, are acceptable in case of 4 and 6 (and even 5, saying: not every finite term of a sequence need be finite).