Sujet : Re: There is a first/smallest integer (in Mückenland)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 17. Jul 2024, 22:17:17
Autres entêtes
Organisation : Nemoweb
Message-ID : <0urLk9tzygU8hLyD_kwRho5GpbQ@jntp>
References : 1 2 3 4 5 6 7 8
User-Agent : Nemo/0.999a
Le 17/07/2024 à 22:44, Moebius a écrit :
Am 17.07.2024 um 22:37 schrieb joes:
Am Wed, 17 Jul 2024 17:17:54 +0000 schrieb WM:
ℵo finite intervals do not fit between [0, 1] and (0, 1].
Where do you get this requirement from?
Please tell us what "requirement" you are talking about (using mathematical terminology/language/symbols).
ℵo unit fractions occupy at least ℵo points and ℵo finite intervals. Therefore NUF(x) cannot change from 0 to ℵo without passing an interval of 2^ℵo points. They must be subtracted from your claim
∀ x > 0: NUF(x) = ℵo.
Corrected
∀ x > 2^ℵo positive points: NUF(x) = ℵo.
Regards, WM
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