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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, 8 Sep 2024 21:28:44 +0200 Organization: A noiseless patient Spider Lines: 13 Message-ID: <vbkttc$20uoj$3@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <0da78c91e9bc2e4dc5de13bd16e4037ceb8bdfd4@i2pn2.org> <vb57lf$2vud1$1@dont-email.me> <5d8b4ac0-3060-40df-8534-3e04bb77c12d@att.net> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 08 Sep 2024 21:28:44 +0200 (CEST) Injection-Info: dont-email.me; posting-host="d04dda7f124a5df7f09598f639f0fe35"; logging-data="2128659"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19DfDEf6EtBjNMkbmjFG8vP54i4CuJ738k=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:+Gp4HMpLrxitD6vIRNpvUPYB+CI= In-Reply-To: <vbhmj4$1cg6l$4@dont-email.me> Content-Language: en-US Bytes: 2259 On 07.09.2024 16:05, Python wrote: > Le 07/09/2024 à 15:03, WM a écrit : >> Stop that nonsense. ℵo unit fractions cannot fit into every interval >> (0, x). > > Of course they can. Select any gap between one of the first ℵo unit fractions and its neighbour. Call its size x. Then ℵo unit fractions cannot fit into the interval (0, x), independent of the actual size. Regards, WM