Re: Does the number of nines increase?

Liste des GroupesRevenir à s math 
Sujet : Re: Does the number of nines increase?
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.math
Date : 04. Jul 2024, 14:19:35
Autres entêtes
Organisation : Nemoweb
Message-ID : <S_ufB4qoBkGnLpAXTvTnoE6Fz_I@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
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.
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.
Regards, WM

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