Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Wed, 11 Sep 2024 14:01:47 -0700 Organization: A noiseless patient Spider Lines: 20 Message-ID: References: <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <035b16b56a204dfe5e561b3cfe03238167dba39a@i2pn2.org> <405557f7289631d63264c712d137244c940b9926@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 11 Sep 2024 23:01:48 +0200 (CEST) Injection-Info: dont-email.me; posting-host="233a7ecb793af72ad112e5f4147874d3"; logging-data="3992621"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18hqE/8mkYViAOlHfP7wfVUzTzZa67ytGo=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:8H1Mc4RpBw62/iN8OEeHfc/ojW4= In-Reply-To: Content-Language: en-US Bytes: 2623 On 9/11/2024 12:40 PM, WM wrote: > On 11.09.2024 19:29, joes wrote: >> Am Wed, 11 Sep 2024 16:37:30 +0200 schrieb WM: >>> On 11.09.2024 04:09, Richard Damon wrote: >>>> On 9/10/24 2:59 PM, WM wrote: >>> >>>>> Real points can be addressed from every side. >>>> But only indexed from an actual end point. >>> Every real point is an end point (of its subinterval). >> What about open intervals? > > Open intervals are intervals which have dark endpoints. What about the gray ones? > Note that > between any pair of visible real numbers there are many dark real numbers.