On 23 Mrz., 23:58, William Hughes <wpihug...@gmail.com> wrote: > On Mar 23, 10:56 pm, WM <mueck...@rz.fh-augsburg.de> wrote: > > > On 23 Mrz., 21:54, William Hughes <wpihug...@gmail.com> wrote: > > <snip> > > > > You have agreed that, "under the assumption that actual > > > infinity is a meaningful notion" > > > you have not shown that we could remove all finite lines > > > without changing the union in any way. > > > You reverse the facts.
Under the assumption that actual infinity is a meaningful notion, I have shown that one can remove all finite lines without changing the union. > > WH: this does not mean that one can do something > WH: that does not leave any of the lines of K > WH: and does not change the union of all lines.
This does not mean that one can really do so > > WM: That is clear because my proof rests > WM: upon the premise that actual infinity is a meaningful notion.
because actual infinity is not a meaningful notion. And I have set out to prove precisely that. Perhaps you have not yet fully understood the structure of my proof.
Act. inf. is meaningful ==> Removal of all lines without change is possible & Removal of all lines without change is not possible