Sujet : Re: There is a first/smallest integer (in Mückenland)
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.mathDate : 19. Jul 2024, 19:55:35
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v7ecr7$33sed$3@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 7/19/2024 6:55 AM, WM wrote:
Le 19/07/2024 à 09:11, joes a écrit :
Am Thu, 18 Jul 2024 21:12:02 +0000 schrieb WM:
Le 18/07/2024 à 17:44, Moebius a écrit :
>
NUF(x) = aleph_0 for all x e IR, x > 0 ,
That means there are ℵo unit fractions smaller than (0, oo) because this
interval contains all x > 0 and nothing else.
It makes no sense to talk about something smaller than an interval.
It makes sense, but if you dislike this expression, use left-hand side of every x > 0 and of all x > 0, abbreviated by (0, oo).
There will always be a gap between any unit fraction and zero. There is no unit fraction that can represent 0. 0/1 is not a unit fraction.