Re: Does the number of nines increase?

Liste des GroupesRevenir à s math 
Sujet : Re: Does the number of nines increase?
De : noreply (at) *nospam* example.org (joes)
Groupes : sci.math
Date : 04. Jul 2024, 17:39:15
Autres entêtes
Organisation : i2pn2 (i2pn.org)
Message-ID : <17b591e4edec5fc789e33310c979fbbf670a71e7@i2pn2.org>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2)
Am Thu, 04 Jul 2024 13:19:35 +0000 schrieb WM:
Le 03/07/2024 à 23:58, Moebius a écrit :
Am 03.07.2024 um 22:05 schrieb WM:
 
∀x > 0: NUF(x) = ℵo is true.
Right, if our domain of discourse is IR (i.e. if x ranges over the
elements in IR). This means:

between every x [in IR] and 0 there [...] lie ℵo unit fractions and ℵo
finite distances between them.
Exactly!
Why do you adhere to the silly idea that every x > 0 is larger than ℵo
finite distances?
Note that you are wrong. Not every x > 0 is larger than ℵo finite
distances.
That depends on the size of those distances.

Hinweis: Für jedes x e IR mit x > 0 gibt es (abzählbar) unendlich viele
Stammbrüche s, so dass s < x ist.
Only for x larger than ℵo finite distances.
Which ones aren’t?

--
Am Fri, 28 Jun 2024 16:52:17 -0500 schrieb olcott:
Objectively I am a genius.

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