In article <email@example.com>, WM <firstname.lastname@example.org> wrote:
> On 27 Jan., 14:12, William Hughes <wpihug...@gmail.com> wrote: > > On Jan 27, 10:40 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > <snip> > > > > <... |N contains more than all (finite initial segments) > > > > Piffle. |N does not contain more that all FISONS > > nor has anyone claimed this. > > > > the correct statement is > > > > For every initial seqment f, there is an element of |N, n(f) > > such that n(f) is not in f. (note that n(f) may change if you > > change > > f) > > > > However, > > > > for ever n(f) there is an initial segment g > > such that g contains n(f) > > Of course. But these all are relative definitions. As I said, it is > impossible to define infinity absolutely. Same is valid for Cantor's > diagonal: For every line n, there is an initial segment of the > diagonal that differs from the first n lines. But that does not imply > that there is a diagonal that differs from all lines. The latter, > however, is claimed to follow.
And does so everywhere but in Wolkenmuekenheim.
In his Wolkenmuekenheim, WM claims that one can have something true for each member of |N without having it true for every member of |N. --