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Path: ...!3.eu.feeder.erje.net!feeder.erje.net!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: Tue, 10 Sep 2024 07:09:36 -0400 Organization: Peripheral Visions Lines: 22 Message-ID: <vbp9dk$2u3sh$1@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vb6o0r$3a4m1$2@dont-email.me> <7e1e3f62-1fba-4484-8e34-6ff8f1e54625@att.net> <vbabbm$24a94$1@solani.org> <06ee7920-eff2-4687-be98-67a89b301c93@att.net> <38ypmjbnu3EfnKYR4tSIu-WavbA@jntp> <34e11216-439f-4b11-bdff-1a252ac98f8f@att.net> <vbd56i$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> 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: Tue, 10 Sep 2024 13:09:41 +0200 (CEST) Injection-Info: dont-email.me; posting-host="62351f6159deefdb581cafd08024c5fc"; logging-data="3084177"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18gpJ235jn7K66Na5ldNVkmO+DQXZmVtAE=" Cancel-Lock: sha1:q9xTE4Jw93sZbGeblOcL+0RnOdk= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 3046 Chris M. Thomasson brought next idea : > On 9/9/2024 11:49 AM, WM wrote: >> On 09.09.2024 17:27, Python wrote: >>> Le 09/09/2024 à 17:15, Prof. Dr. Mückenheim, aka WM a écrit : >>>> On 09.09.2024 16:32, Python wrote: >>>>> Le 09/09/2024 à 12:19, Prof. Dr. Mückenheim, aka WM a écrit : >> >>> 1/n is not in (0, x). Sure. So what? Nevertheless there are Aleph_0 unit >>> fractions in (0, x). No need for 1/n to be there, there far enough other >>> fractions. >>> >> If you cannot understand mathematics consider the simplest logic: >> If a sequence of different real points exists on the positive real axis, >> then it has a beginning. Otherwise it could be a cloud but not a sequence. > > Oh wow. You need help! Or we do for even giving you the time of day. > YIKES!!!!!!!!!! Actually, I think he is close to correct. The thing is, he wants the first term of the sequence to be last. The reals are not a sequence, but the unit fractions are and they start with 1/1 not at some imagined other end. You need a first and likely a next to start.