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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Sat, 2 Nov 2024 11:18:24 +0100
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On 02.11.2024 01:55, Richard Damon wrote:
> On 11/1/24 6:45 AM, WM wrote:
>> On 01.11.2024 00:43, Richard Damon wrote:
>>> On 10/31/24 1:35 PM, WM wrote:
>>>> On 31.10.2024 12:36, Richard Damon wrote:
>>>>> On 10/30/24 11:38 AM, WM wrote:
>>>>
>>>>>>> NUF(x) MUST jump from 0 to Aleph_0 at all real values x, as below 
>>>>>>> ANY real number x, there are Aleph_0 unit fractions.
>>>>
>>>> You cannot distinguish them by any real number? That proves that 
>>>> they are dark.
>>
>>> They are not finite values.
>>
>> All unit fractions are finite values.
>>
> So?
> 
> There is no Unit Fraction x where NUF(x) can be 1,

No visible unit fraction.

> as there will always 
> be other unit fractions at x/2 and x/3

This is not true for the smallest unit fraction. If all are existing. In 
potential infinity it is true for every unit fraction.

Regards, WM