In article <4c99a86a-1dd0-44da-b717-a691722a7e81@r3g2000vbp.googlegroups.com>, William Hughes <wpihughes@hotmail.com> wrote:
> On Jun 11, 6:16 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > A nice pink elephant > > <snip> > > WM: The idea that the infinite union of finite segments > WM: results in an infinite segment is false. > > WM now gives a "counterexample", finding an infinte union > of finite segments that does not result in > an infinite segment. > > Look! Over There! A Pink Elephant!
Actually, WM's supposed example was not an infinite union of DISTINCT sets but a union of just one set infinitely repeated.
Which doesn't count as an infinite union. > > WM: If the infinite union of finite segments *always* > WM: yields an infinte segment ... > > - William Hughes
