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From: Moebius <invalid@example.invalid>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality (infinite middle)
Date: Sat, 10 Aug 2024 00:31:26 +0200
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Am 09.08.2024 um 06:01 schrieb Jim Burns:
> On 8/8/2024 8:26 PM, Ross Finlayson wrote:
>> On 08/08/2024 03:30 AM, FromTheRafters wrote:
>>> on 8/8/2024, WM supposed :
>>>> Le 08/08/2024 à 00:17, Moebius a écrit :
> 
>>>>> Actually, his "thinking process" is simple:
>>>>> "Since there is a gap (space) between
>>>>> adjacent unit fractions and
>>>>> all unit fractions are in the interval (0, 1],
>>>>> there must be FINITELY MANY of them
>>>>> (i.e. a first/smallest one)."
>>>>
>>>> No, that is nonsense.
>>>> There are not finitely many unit fractions

Great, so there are infinitely many unit fractions in (0, 1]. Right.

But then for each and every x > 0 there are INFINITELY MANY unit 
fractions smaller than x, SINCE there are ONLY FINITELY MANY unit 
fractins >= x.

@WM: oo - n = oo (for each and every n e IN).

Kapierst Du wenigstens DAS, Mückenheim?