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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters <FTR@nomail.afraid.org> Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Thu, 12 Sep 2024 08:29:52 -0400 Organization: Peripheral Visions Lines: 16 Message-ID: <vbums6$8kdn$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> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 12 Sep 2024 14:29:58 +0200 (CEST) Injection-Info: dont-email.me; posting-host="7a0a616a319513ee05fab45506954c98"; logging-data="283063"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+eQgfAyEBvDpI9wJGU24GmXOAjPnBY3pA=" Cancel-Lock: sha1:mKS9TnoN5wpODzz3KVg9YdqhSx0= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 1912 After serious thinking WM wrote : > Le 11/09/2024 � 23:13, FromTheRafters a �crit : >> Chris M. Thomasson laid this down on his screen : >>> On 9/11/2024 12:40 PM, WM wrote: > >>>> Open intervals are intervals which have dark endpoints. >>> >>> What about the gray ones? >>> > Grey points are dark points which can become visible. Points which change? What function causes a point to change? > But the endpoints of open intervals will remain dark forever. Open intervals simply don't contain endpoints, dark or otherwise.