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Date: Wed, 03 Jul 24 20:05:48 +0000
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From: WM <wolfgang.mueckenheim@tha.de>
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Le 03/07/2024 à 19:09, Moebius a écrit :
> Am 28.06.2024 um 15:55 schrieb WM:
> 
> 
>> in {0, 1, 2, 3, ..., ω} before ω there is a natural number.
> 
> Ja, "before ω" (im Sinne von kleiner) sind unendlich viele natural 
> numbers, nämlich die natürlichen Zahlen 0, 1, 2, 3, ... usw.
> 
> Es gibt aber keine natürliche Zahl die "unmittelbar vor" ω steht.

You cannot recognize it. It is existing but dark.

> Zu jeder 
> natürlichen Zahl n gibt es eine natürliche Zahl m (beispielsweise n+1), 
> so dass n < m < ω gilt.

For every visible natural number this is true. 

Like ∀x > 0: NUF(x) = ℵo is true. But this truth proves the existence 
of dark numbers, because between every such x and 0 there must lie ℵo 
unit fractions and ℵo finite distances between them.

Regards, WM