Re: Does the number of nines increase?

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Sujet : Re: Does the number of nines increase?
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.math
Date : 09. Jul 2024, 21:42:28
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <v6k7bl$1gsq7$5@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Mozilla Thunderbird
On 7/9/2024 9:53 AM, WM wrote:
Le 09/07/2024 à 16:35, Moebius a écrit :
Am 09.07.2024 um 15:23 schrieb joes:
Am Tue, 09 Jul 2024 11:49:21 +0000 schrieb WM:
>
many don't understand that ℵo unit fractions cannot occupy a distance
smaller than all positive distances. Can you?
>
What does this mean? It should read "smaller than ANY".
>
Es bedeutet, dass Mückenheim (in diesem Kontext) nicht zwischen AxEy und EyAx unterscheiden kann.
 That is nonsense. Either there is a first unit fraction or this is not the case.
There is a first unit fraction at 1/1. However, there is no last unit fraction... :^)

If it is not the case, then NUF(x) increases by more than 1, say by X, at that x where it is leaving 0. But then there must exist an x occupied by more than one, namely by X, unit fractions. Contradiction.
 No quantifier magic.
 Regards, WM

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