Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

On 29.11.2024 21:37, Jim Burns wrote:

On 11/29/2024 2:41 PM, WM wrote:

all fall out == empty

>
== empty endsegment.

 No.
Empty intersection of all and only infinite end.segments.

All natnumbers fall out of the endsegmets but the endsegments keep infinitely many natnumbers. Can a stronger nonsense exist?

infinite and empty

>
According to set theory.

 You imagine that's what set theory says.
It doesn't say that.

It does say that infinite endsegments have an empty intersection because all natnumbers fall out of the endsegments. Where else could they fall out?
Regards, WM