Path: ...!feeds.phibee-telecom.net!3.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Mon, 7 Oct 2024 10:53:52 +0200 Organization: A noiseless patient Spider Lines: 27 Message-ID: References: <461bf21a7f094701b936484f17bd3d68211fcf81@i2pn2.org> <5086a1e540cdfb8fd979d8eca95ab8123166bf54@i2pn2.org> <63b03cafeddb7c5485f1a863d629f56dd10c5bc1@i2pn2.org> <8d9d2296-ea12-4aa1-9e62-03828b3e516e@tha.de> <95c4443902896e8ec4c5a99289332800ee56d33b@i2pn2.org> <87292fe4478728480baf991c7d2562fc7d372ecf@i2pn2.org> <075f62c7305fe7bf6aef0368b5c175d1fb37ba56@i2pn2.org> <08047fe749f5eb9e923344e444f7acaa419416e4@i2pn2.org> <53f7fd701d8dadc055a7c190e8a6967eb93eb891@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 07 Oct 2024 10:53:52 +0200 (CEST) Injection-Info: dont-email.me; posting-host="fd3fb77fcebc56d1245266f88f97f893"; logging-data="1729330"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19SV6EM7NYEIKWz2bsxX8fQfNI1kH7GlmI=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Jb3uGZfnjsaP0+gzEa4WIdoaXfE= Content-Language: en-US In-Reply-To: <53f7fd701d8dadc055a7c190e8a6967eb93eb891@i2pn2.org> Bytes: 2955 On 06.10.2024 19:05, Richard Damon wrote: > On 10/6/24 7:45 AM, WM wrote: >> On 06.10.2024 04:51, Richard Damon wrote: >>> On 10/5/24 2:58 PM, WM wrote: >> >>>> >>>>> So why does that say it has a point next to it? >>>> >>>> A point between both could be chosen unless it was dark. >>>> >>> And that point CAN be found, Given two point x and y, >> >> They are not given, but dark. Discrete points on the positive axis >> have a minimum. >> > Then you are just proving yourself to be a liar, as you said you could > choose them. I said: a point between both could be chosen unless it was dark! > The actual points are not "dark" but defined. All unit fractios are such points. Each one is a singleton adhering to the rules of geometry. Therefore each one including the smallest oe could be found unless it was dark. Regards, WM