Path: ...!local-3.nntp.ord.giganews.com!Xl.tags.giganews.com!local-1.nntp.ord.giganews.com!news.giganews.com.POSTED!not-for-mail
NNTP-Posting-Date: Fri, 09 Aug 2024 00:25:39 +0000
Subject: Re: Replacement of Cardinality (infinite middle)
Newsgroups: sci.logic,sci.math
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>
From: Ross Finlayson <ross.a.finlayson@gmail.com>
Date: Thu, 8 Aug 2024 17:26:10 -0700
User-Agent: Mozilla/5.0 (X11; Linux x86_64; rv:38.0) Gecko/20100101
 Thunderbird/38.6.0
MIME-Version: 1.0
In-Reply-To: <v926ot$3tjq6$1@dont-email.me>
Content-Type: text/plain; charset=iso-8859-15; format=flowed
Content-Transfer-Encoding: 8bit
Message-ID: <PbydnQO1H-qe_yj7nZ2dnZfqnPqdnZ2d@giganews.com>
Lines: 21
X-Usenet-Provider: http://www.giganews.com
X-Trace: sv3-HZlwNVeBSDvLoqPS4GRpTQsZRTMxzI+wc+x61TEZi6M2Ep/zWabfmyYFMddm6fG64g2HgEW6m6QLCn7!E5QztX9AAGLnT24gXkMy+oTJtCgn9xyvrASF+60LYwPjWwmQMceTSmZ4eq97r3MQv2tndSCLWgEp
X-Complaints-To: abuse@giganews.com
X-DMCA-Notifications: http://www.giganews.com/info/dmca.html
X-Abuse-and-DMCA-Info: Please be sure to forward a copy of ALL headers
X-Abuse-and-DMCA-Info: Otherwise we will be unable to process your complaint properly
X-Postfilter: 1.3.40
Bytes: 2284

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.
>
> Then stop assuming that there is a first and last element.

Of course, you can start with a first and last element,
then make infinitely-many in the middle.

0 ... ( ... infinitely-many ... ) ... infinity