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Path: ...!eternal-september.org!feeder2.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? (infinitary) Date: Mon, 28 Oct 2024 20:42:20 +0100 Organization: A noiseless patient Spider Lines: 13 Message-ID: <vfopes$14lcd$2@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <vf66bb$125ku$1@dont-email.me> <08a00c75-bf8d-4f9c-816a-83b8517ca04e@att.net> <vf7mqj$1d3m4$2@dont-email.me> <062a0fa5-9a15-4649-8095-22c877af5ebf@att.net> <vf8itt$1hosd$2@dont-email.me> <b1e5a319-eaec-44d2-b961-f90bc241e7e6@att.net> <vf8r7k$1jnia$2@dont-email.me> <d316baa3-de5b-4644-86ff-beacad9df107@att.net> <vfd97u$2jtos$1@dont-email.me> <276fc9df-619b-4a10-b414-a04a74aa7378@att.net> <vfe5d5$2olom$1@dont-email.me> <88e6a631-417a-4dd0-9443-a57116dcbd28@att.net> <vfg07k$1chpe$1@solani.org> <7a1e34df-ffee-4d30-ae8c-2af5bcb1d932@att.net> <vfgil3$38pn6$1@dont-email.me> <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <vfgqoc$39o4h$2@dont-email.me> <acd4aad3-9447-45a9-bafd-f8b93d781827@att.net> <vfj3v0$1e96h$2@solani.org> <vfjg9h$3rjvp$2@dont-email.me> <vfkqlr$3fii$1@solani.org> <vfl8o7$3mnmt$4@i2pn2.org> <vflfq9$f82l$1@dont-email.me> <vflovl$1fpr2$3@solani.org> <vfm2m5$iasq$1@dont-email.me> <vfnmo3$ui6v$1@dont-email.me> <vfnrri$3r59o$2@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 28 Oct 2024 20:42:20 +0100 (CET) Injection-Info: dont-email.me; posting-host="028c8f7ef7e0642f2efab9c9f9b9b737"; logging-data="1201549"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/38G2xUkT+G87wdmiANZ7zynti0SqoDy0=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:oTOgKajTcRIvGhxhqBSVL7Tcdy4= Content-Language: en-US In-Reply-To: <vfnrri$3r59o$2@i2pn2.org> Bytes: 2385 On 28.10.2024 12:17, Richard Damon wrote: > On 10/28/24 5:49 AM, WM wrote: > Your proof fails because it assumes properties that are not actually > required. > > If you really mean that there must be a lowest unit fraction, I mean that there are unit fractions. None is below zero. Mathematics proves that never more than one is at any point. Regards, WM