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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: Mon, 30 Sep 2024 20:54:02 +0200 Organization: A noiseless patient Spider Lines: 20 Message-ID: <vdes49$2bj6r$2@dont-email.me> References: <vb4rde$22fb4$2@solani.org> <1aabd037-86bc-47bd-b402-f6b29c5c33e4@att.net> <vcehl6$2boc$3@dont-email.me> <f1d14b16-2c12-4cfb-b7f5-c58cc5724f94@att.net> <vcguvh$hi5j$1@dont-email.me> <b7eb4682-30db-4b37-90b4-0135e995cfc1@att.net> <vckekf$1709o$1@dont-email.me> <298dcb6f-5f58-48b6-80e3-34260bf721f8@att.net> <vcn8n8$1nfqa$1@dont-email.me> <283c426f-ab1c-4ef0-a06c-1bf7d28a2cfa@att.net> <vcpo5e$29qe5$1@dont-email.me> <6b50a171-8127-4ce6-9bd3-2dc213638e9b@att.net> <vcroj3$2nfvb$2@dont-email.me> <519db81b-4a4d-417d-8cd2-7fef5a342efd@att.net> <6704347e-2f99-40f2-887f-de93f6fdd659@tha.de> <d10dbfab-9235-4fcd-a892-b407029e8f1d@att.net> <8b3e744d-3419-40c3-a7c6-fe59edd528a9@tha.de> <851e9929-8ab7-49d1-b478-e65c61fba2e3@att.net> <vd1bis$3njbp$7@dont-email.me> <d0da206d-e1c9-4a32-8ec7-64e1365a8f3e@att.net> <vd6v0d$qj9u$2@dont-email.me> <78a0f795-f1c0-4ba5-90f9-acf667968011@att.net> <vdef52$29746$3@dont-email.me> <aec625a9-581f-4692-b20f-831b9f121e52@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 30 Sep 2024 20:54:02 +0200 (CEST) Injection-Info: dont-email.me; posting-host="81504c3838c01af2874bbf5f7dfe5d71"; logging-data="2477275"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19Y2w+ojVjaCyetPrBGxlo7+df1I9hXwZg=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:4f+ZlTuecafnjtqQICEkVGa26rg= Content-Language: en-US In-Reply-To: <aec625a9-581f-4692-b20f-831b9f121e52@att.net> Bytes: 2585 On 30.09.2024 20:33, Jim Burns wrote: > On 9/30/2024 11:12 AM, WM wrote: > What you are talking about aren't _our_ sets. NUF(0) = 0 and NUF(1) = ℵo. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 shows that at no point x NUF can increase by more than one step 1. It is fact with your set too. I am not responsible. I only made the discovery. > > We have no more reason to care about _your_ "sets". No reason even to care about mathematical basic truths like ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 ? > Unit fractions do not come into being. But they come into sight. Regards, WM