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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: Sun, 20 Oct 2024 21:50:20 +0200
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On 20.10.2024 21:31, Richard Damon wrote:
> On 10/20/24 10:26 AM, WM wrote:
>> On 20.10.2024 13:56, Richard Damon wrote:
>>> On 10/20/24 3:48 AM, WM wrote:
>>
>>>> All doubled numbers result in larger numbers. That cannot be avoided.
>> ´
>>> But since there isn't a "largest" number,
>>
>> There is completeness.
> 
> Which meaning of "Completeness" do you mean?

> For set theory, the "Completeness" of the Natural Numbers says there is 
> a suprema of the set

Completes means that all elements of a set are existing. The natural 
numbers for instance are invariable. The subset of even numbers and the 
subset of odd numbers are two halves having only half of the reality of 
the natural numbers.

Regards, WM