On 11 Jun., 13:25, William Hughes <wpihug...@hotmail.com> wrote: > On Jun 11, 6:16 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> 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.
Nobody has any evidence of an example supporting the idea that the infinite union of finite segments results in an infinite segment. No form of logic does support it. I gave a counter example.
The only pro-argument is that set theorists feel obliged to believe in that idea. But that is not enough.