Sujet : Re: how
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.mathDate : 06. Jun 2024, 19:12:50
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v3su74$1k0sm$3@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
Am 05.06.2024 um 22:39 schrieb WM:
> most natural numbers are uncountable,
Nonsense.
> although with n also n^n^n is countable.
It suffices that for any "countable" natural number n the natural number n+1 is "countable" too, you silly asshole.
Proof (by induction): 1 is "countable" (at least in my book). If n is "countable", then n+1 is "countable" too (see comment above). Hence all natural numbers are "countable". (This implies that NO natural number is "uncountable".) qed
See:
https://en.wikipedia.org/wiki/Mathematical_induction