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Subject: Re: Replacement of Cardinality
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Date: Thu, 29 Aug 24 13:35:55 +0000
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From: WM <wolfgang.mueckenheim@tha.de>
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Le 28/08/2024 à 16:10, FromTheRafters a écrit :
> on 8/28/2024, WM supposed :
>> Le 28/08/2024 à 14:47, Moebius a écrit :
>>> Am 28.08.2024 um 06:20 schrieb joes:
>>
>>>> „Sufficient” meaning „not infinitesimal”.
>>> 
>>> Right. After all, each and every _real_ number x > 0 is "sufficiently 
>>> large".
>>
>> Wrong. "Sufficient" means that ℵo non-empty finite gaps between unit 
>> fractions fit into the interval. One gap already is larger some x > 0. Why do 
>> you think that ℵo non-empty finite gaps are smaller than every x > 0?
> 
> Because of the way the reals are constructed.

Not a reason - and wrong.

Regards, WM