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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions? (infinitary)
Date: Tue, 8 Oct 2024 12:42:44 -0700
Organization: A noiseless patient Spider
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On 10/8/2024 12:18 PM, joes wrote:
> Am Tue, 08 Oct 2024 17:34:39 +0200 schrieb WM:
>> On 08.10.2024 15:36, Richard Damon wrote:
>>> On 10/8/24 6:03 AM, WM wrote:
>>>> On 08.10.2024 09:30, Moebius wrote:
>>>>> Am 08.10.2024 um 09:29 schrieb Moebius:
> 
>>>> Yes, but it is completed and therefore fixed. The number of nines in
>>>> 0.999... does not change when shifted by one step.
>>> But it must be infinite, and thus not have an "end"
>> But it must be complete and therefore in linear order must have an end.
> In what sense are infinite sets incomplete?
> 

Right. Some people instantly think of the finite when somebody says, all 
of the natural numbers... That line of thought is wrong. Saying all does 
not imply finite at all. ;^)