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

Am 03.12.2024 um 06:47 schrieb Moebius:

Am 03.12.2024 um 06:34 schrieb Chris M. Thomasson:

 

Then the following can be shown:
>
      lim_(n->oo) {1, 2, 3, ..., n} = {1, 2, 3, ...} .
>

 While this seems to be intuitively clear, the following is less clear (I'd say):
 

>
      lim_(n->oo) {n, n+1, n+2, ...} = {} .