Path: ...!feeds.phibee-telecom.net!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.org!.POSTED!not-for-mail
From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: How many different unit fractions are lessorequal than all unit
 fractions?
Date: Sat, 5 Oct 2024 20:54:21 +0200
Message-ID: <vds20s$1ih6$2@solani.org>
References: <vb4rde$22fb4$2@solani.org>
 <d10dbfab-9235-4fcd-a892-b407029e8f1d@att.net>
 <8b3e744d-3419-40c3-a7c6-fe59edd528a9@tha.de>
 <851e9929-8ab7-49d1-b478-e65c61fba2e3@att.net> <vd1bis$3njbp$7@dont-email.me>
 <d0da206d-e1c9-4a32-8ec7-64e1365a8f3e@att.net> <vd6v0d$qj9u$2@dont-email.me>
 <78a0f795-f1c0-4ba5-90f9-acf667968011@att.net> <vdef52$29746$3@dont-email.me>
 <aec625a9-581f-4692-b20f-831b9f121e52@att.net> <vdes49$2bj6r$2@dont-email.me>
 <adea0828-b2b1-4273-8e99-8c143f17f4f1@att.net> <vdhbhg$2qovr$1@dont-email.me>
 <fd9f0e31-89f5-46db-b1d9-f6f818901b2c@att.net> <vdj9rn$3713m$2@dont-email.me>
 <67e26dda-ec44-4927-82ac-dfc17dc3d07d@att.net> <vdmni6$3r0us$1@dont-email.me>
 <f2fd1874cd1db3afdce65e1fab820d103a648403@i2pn2.org>
 <vdodvf$5sti$5@dont-email.me> <53e48f71-1b93-4f2e-a21a-68a40b6ccefd@att.net>
 <vdpi26$bht3$1@dont-email.me>
 <0fe7418c059c5ae4c456927eed937f9df34bb7b4@i2pn2.org>
 <vdr13s$n3li$5@dont-email.me>
 <14315d09f608b98681817348c19ededcfc4fba3b@i2pn2.org>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 8bit
Injection-Date: Sat, 5 Oct 2024 18:54:21 -0000 (UTC)
Injection-Info: solani.org;
	logging-data="51750"; mail-complaints-to="abuse@news.solani.org"
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:aFOiy4eFFx7H1ZEbQeQhzpmict8=
Content-Language: en-US
X-User-ID: eJwNycEBwCAIA8CVpBDEcQDJ/iPU+x7UxXubww0EO26RS9zaOk+cG/OxUgqcNPNYc2Y35MWrzVyVqbhpSugPg/0WuQ==
In-Reply-To: <14315d09f608b98681817348c19ededcfc4fba3b@i2pn2.org>
Bytes: 2834
Lines: 18

On 05.10.2024 15:02, joes wrote:
> Am Sat, 05 Oct 2024 11:32:44 +0200 schrieb WM:
>> On 05.10.2024 10:08, joes wrote:
>>> Am Fri, 04 Oct 2024 22:09:41 +0200 schrieb WM:
>>>> But it is no quantifier shift but simplest logic:
>>>> If ℵ₀ unit fractions do not sit at one point (and are not dark) then
>>>> they can be subdivided into smaller parts.
>>> Which they can.
>> Do it. Fail because slightly fewer is not possible.
> What do you mean? All the unit fractions have, as you say,
> finite distances, which means there are numbers inbetween.
But these numbers and these unit fractions cannot be found. It is 
impossible to define a unit fraction having less than ℵo smaller unit 
fractions. It is impossible to define a unit fraction being closer to 
zero although it is obvious that there are points closer to zero than 
ℵo*2^ℵo points.

Regards, WM