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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality
Date: Sun, 4 Aug 2024 16:07:37 -0700
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On 8/4/2024 8:35 AM, WM wrote:
> Le 04/08/2024 à 02:15, Moebius a écrit :
>> Am 03.08.2024 um 21:54 schrieb Jim Burns:
>>> On 8/3/2024 10:23 AM, WM wrote:
>>
>>>> NUF(x) = ℵ₀ for all x > 0 is wrong.
>>
>> Nonsense.
>>
>> Actually, Ax > 0: NUF(x) = ℵ₀.
> 
> You mean that there are ℵ₀ unit fractions smaller than all positive x?
> Impossible. ℵ₀ unit fractions occupy ℵ₀*2^ℵ₀ points. Not even one unit 
> fraction cann be smaller than all positive x.

Huh? Say x = 1/2, there are infinite smaller unit fractions, say, 1/4, 
1/5, 1/6, ect... However there is only one larger one, 1/1. See? No 
smallest one for 1/0 is not a unit fraction! There is a largest one, 1/1...

They tend to zero, but there is no smallest one...

See?