Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail
From: Moebius <invalid@example.invalid>
Newsgroups: sci.logic,sci.math
Subject: Re: Replacement of Cardinality
Date: Fri, 9 Aug 2024 02:27:59 +0200
Organization: A noiseless patient Spider
Lines: 28
Message-ID: <v93nqf$b79i$3@dont-email.me>
References: <hsRF8g6ZiIZRPFaWbZaL2jR1IiU@jntp>
 <IzWzFdkkm97GEXyAioF3IpRiSfI@jntp>
 <42d2b329-5394-47e0-b8c9-098908b2e9a8@att.net>
 <__cCn6h6Ey1Kz0BrIf6EShypg4M@jntp>
 <e8a3a66a-7d83-4658-9f4c-23d7dc354fb9@att.net>
 <iqelfxYKWhBbwcm10DcO5hr3scI@jntp>
 <f920592b-897c-48b9-a9af-80f25bc60e4b@att.net>
 <DDPks1ynTy6IhIWNHaxt25GM1v0@jntp>
 <c1f0efc8-04ca-4f2d-9820-cfd54c0eca73@att.net> <v90rp5$3dbpd$1@dont-email.me>
 <L8Pl0ELcnLfKVO0KrMmhSqDd-Y0@jntp> <v926ot$3tjq6$1@dont-email.me>
 <v93a8c$7o8h$1@dont-email.me> <v93m57$b7a2$1@dont-email.me>
 <v93moe$b79i$2@dont-email.me>
Reply-To: invalid@example.invalid
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Fri, 09 Aug 2024 02:28:00 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="b1e9f2d409ea2b6d1cf69b9debede1b8";
	logging-data="367922"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1/n2EhEGKdRcq2od3qRjTv3"
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:g+lxG6Snhk6lPsWzmpMci67q+Tw=
In-Reply-To: <v93moe$b79i$2@dont-email.me>
Content-Language: de-DE
Bytes: 2681

Am 09.08.2024 um 02:09 schrieb Moebius:
> Am 09.08.2024 um 01:59 schrieb Moebius:
>> Am 08.08.2024 um 22:36 schrieb Chris M. Thomasson:
>>> On 8/8/2024 3:30 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.
>>>>
>>>> Then stop assuming that there is a first [i.e. smallest] element.
>>>
>>> The first unit fraction is 1/1, there is no last one...
>>
>> Nope. We are using the usual order < defined on IR to determine if 
>> there is a first (smallest) / last (largest) unit fraction.
>>
>> So there is no first/smallest unit fraction and there is a last/ 
>> largest unit farction (namely 1/1), in respect to <.
> 
> Hint: WM is just a complete idiot.

Hmmm... writing this John Gabriel comes to mind ...