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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" <chris.m.thomasson.1@gmail.com> 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: <vbt0fs$3pr1d$1@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vbd56i$fqa0$1@dont-email.me> <vbdbq3$gdoe$2@dont-email.me> <vbes57$qdqo$2@dont-email.me> <27b3b5e088d82d4475c68a64f50a4bccac9c6f29@i2pn2.org> <vbesjo$27gfe$1@solani.org> <vbf0s9$qp1j$3@dont-email.me> <vbfpf5$utdu$2@dont-email.me> <vbh5qe$19a45$1@dont-email.me> <vbhdf6$1btm1$1@dont-email.me> <vbhffg$1bi3l$3@dont-email.me> <035b16b56a204dfe5e561b3cfe03238167dba39a@i2pn2.org> <vbhiv7$1bi3k$1@dont-email.me> <vbhmj4$1cg6l$4@dont-email.me> <vbkttc$20uoj$3@dont-email.me> <vbl1nq$21t3j$3@dont-email.me> <vbmi4b$2ce0a$1@dont-email.me> <vbn0tb$2d8fc$6@dont-email.me> <vbn3eb$2em18$4@dont-email.me> <vbn45r$2d8fc$10@dont-email.me> <vbnfvo$2gn73$2@dont-email.me> <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> 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: <vbsroa$3mvi7$2@dont-email.me> 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.