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From: joes <noreply@example.org>
Newsgroups: sci.math
Subject: Re: Replacement of Cardinality
Date: Sat, 3 Aug 2024 17:42:33 -0000 (UTC)
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Am Sat, 03 Aug 2024 14:25:03 +0000 schrieb WM:
> Le 02/08/2024 à 19:31, Moebius a écrit :
>> For each and every of these points [here referred to with the variable
>> "x"]: NUF(x) = ℵ₀ .
> I recognized lately that you use the wrong definition of NUF.
It is the definition you have previously used.
> Here is the correct definition:
> There exist NUF(x) unit fractions u, such that for all y >= x: u < y.
> Note that the order is ∃ u ∀ y.
You are specifying an exact number, not only at least one.
> NUF(x) = ℵ₀ for all x > 0 is wrong. NUF(x) = 1 for all x > 0 already is
> wrong since there is no unit fraction smaller than all unit fractions.
New sig.

> ℵ₀ unit fractions need ℵ₀*2ℵ₀ points above zero.

-- 
Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.