Sujet : Re: There is a first/smallest integer (in Mückenland)
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 18. Jul 2024, 21:55:57
Autres entêtes
Organisation : Nemoweb
Message-ID : <_yU-Ua_pBHYXLfdfOPeH-udJXw8@jntp>
References : 1 2 3 4 5 6 7 8 9 10
User-Agent : Nemo/0.999a
Le 18/07/2024 à 21:16, Jim Burns a écrit :
On 7/18/2024 2:28 PM, WM wrote:
Le 18/07/2024 à 19:00, Jim Burns a écrit :
Jumps "at" a point are between
nearby points.
WM admitted that much in a recent post,
but changed what "change" means to him.
>
A claim for all x > 0 is
a claim for all points of the interval (0, oo).
The claim
"between 0 and every point of (0, oo) NUF(x) = ℵo"
implies the existence of
ℵo unit fractions between 0 and (0, oo)
and is false.
The unit.fractions between 0 and different points x
are not the same unit.fractions.
Not claimed that they are the same. But if for all points x > 0 there are ℵo smaller unit fractions, then for the interval (0, oo) there are ℵo smaller unit fractions. Or is there a point in (0, oo) which is not an x > 0?
Regards, WM
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