Re: Incompleteness of Cantor's enumeration of the rational numbers

Am 27.11.2024 um 21:28 schrieb Chris M. Thomasson:

On 11/27/2024 11:15 AM, WM wrote:

On 27.11.2024 18:58, Richard Damon wrote:

On 11/27/24 12:13 PM, WM wrote:

>

Replacing every element of the set {0, 1, 2, 3, ...} by its successor yields {1, 2, 3, ..., ω}.

Holy shit!
Nein, Mückenheim!
     {n' : n e IN u {0}} = IN
und bekanntlich ist ω nicht e IN u {0} also auch nicht e IN. <facepalm>
Du bist wirklich dümmer als die Polizei erlaubt!
Hinweis: ~En e IN u {0}: n' = ω.

Nope, [...] the successor of EVERY natural number is a natural number
[hence] omega is NOT the successor for any natural number

Jep. Indeed!

The successor of the last natural number is ω.

Mückenheim, geh doch endlich mal zu einem Psychiater!

There is no last natural number you fucking dipshit!

Yeah.