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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: Replacement of Cardinality
Date: Tue, 3 Sep 2024 13:19:44 +0200
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On 02.09.2024 19:13, Richard Damon wrote:
 > On 9/2/24 12:56 PM, WM wrote:
 >> On 01.09.2024 21:09, Chris M. Thomasson wrote:
 >>> On 8/31/2024 8:27 PM, Moebius wrote:
 >>
 >>>> In general, for all x e IR, x > 0: NUF(x) = aleph_0.
 >>
 >> Don't get confused by that nonsense. Everybody knows that unit
 >> fractions are different from each other. Therefore they cannot be
 >> counted at the same x, let alone at less than all positive x, i.e., at
 >> zero.
 >>>>
 >>> How does that fit with WM who thinks there is a smallest unit
 >>> fraction to start counting from?
 >>
 >> I do not think that but I prove that by the simple fact that not more
 >> than one unit fraction can be lessequal than all unit fractions.
 >>
 > Except that it starts with the incorrect assumption that such a unit
 > fraction exists.

No, it shows that no unit fractions exist unless a first one exists.

Regards, WM