Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.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: Sun, 15 Sep 2024 21:39:46 +0200
Organization: A noiseless patient Spider
Lines: 10
Message-ID: <vc7d61$2b1ga$1@dont-email.me>
References: <vb4rde$22fb4$2@solani.org> <vbnuqq$2it4a$2@dont-email.me>
 <vbp9dk$2u3sh$1@dont-email.me> <vbq4ve$31fu6$10@dont-email.me>
 <fd09e9afa6b0c3041b90c5d788681bb2c92f9d2e@i2pn2.org>
 <vbs9v8$3l368$3@dont-email.me>
 <405557f7289631d63264c712d137244c940b9926@i2pn2.org>
 <vbsroa$3mvi7$2@dont-email.me> <vbt0fs$3pr1d$1@dont-email.me>
 <vbt15n$3qapk$1@dont-email.me> <btbO__HYVIMPfoOcmXp4_whV8-8@jntp>
 <vbums6$8kdn$1@dont-email.me> <vbv9i7$bpjh$2@dont-email.me>
 <13c08e96ad635f8142b38d89863a80caf17a32a8@i2pn2.org>
 <vc1mfe$u3ec$2@dont-email.me>
 <4faa63d0ff8c163f01a38736aeb5732184218a29@i2pn2.org>
 <vc1uu8$u3ec$9@dont-email.me> <vc2gfb$130uk$1@dont-email.me>
 <vc44uu$1gc40$1@dont-email.me>
 <c94d6140f000f75c5e95e1acc785ebff9894a18b@i2pn2.org>
 <vc58cf$1o4dp$3@dont-email.me> <87jzfchnxc.fsf@bsb.me.uk>
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8; format=flowed
Content-Transfer-Encoding: 7bit
Injection-Date: Sun, 15 Sep 2024 21:39:45 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="22b48455dd79dc014c156cd8f3f5071c";
	logging-data="2459146"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX18k8haJXNmiLfO603tNHIwH9fs9BVTKAYc="
User-Agent: Mozilla Thunderbird
Cancel-Lock: sha1:GWAbGBzOnhT/3wQERrWgLU6xzQ8=
Content-Language: en-US
In-Reply-To: <87jzfchnxc.fsf@bsb.me.uk>
Bytes: 2156

On 15.09.2024 18:38, Ben Bacarisse wrote:

> It might be worth pointing out that any non-trivial interval [a, b] on
> the real line (i.e. with b > a) contains an uncountable number of
> points.

That proves that small intervals cannot be defined (they are dark). An 
uncountable number cannot be completed without a finite entry.

Regards, WM