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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: Mon, 21 Oct 2024 20:35:59 +0200
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On 21.10.2024 14:41, joes wrote:
> Am Mon, 21 Oct 2024 11:59:00 +0200 schrieb WM:
>> On 21.10.2024 10:21, joes wrote:
>>> Am Mon, 21 Oct 2024 10:14:07 +0200 schrieb WM:
>>
>>>> If the range was complete, the image shows that the range was not
>>>> complete.
>>> If the range really is complete, it needs to be infinite, so it can
>>> include the larger numbers.
>> No. No set of numbers can include larger numbers.
> An infinite set can contain an m>n for every n in it.

Yes, but all the numbers which the set contains are either complete and 
fixed, or they are variable such that with each request larger numbers 
can be creazed.

The latter case is called potential infinity. In case they are complete 
and fixed we can multiply them by 2 and find larger numbers.

Regards, WM