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Path: ...!news.mixmin.net!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.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: Wed, 2 Oct 2024 13:54:42 +0200 Message-ID: <vdjca1$11itj$1@solani.org> References: <vb4rde$22fb4$2@solani.org> <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> <vdes49$2bj6r$2@dont-email.me> <adea0828-b2b1-4273-8e99-8c143f17f4f1@att.net> <vdhbhg$2qovr$1@dont-email.me> <fd9f0e31-89f5-46db-b1d9-f6f818901b2c@att.net> <vdj9mg$3713m$1@dont-email.me> <vdjat6$37hca$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 2 Oct 2024 11:54:41 -0000 (UTC) Injection-Info: solani.org; logging-data="1100723"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Jdg5wk1lI9XZthVx4aw0Wjp+MKc= Content-Language: en-US X-User-ID: eJwFwYEBwDAEBMCV9MNjHCT2H6F3dvhxXGlUW1s2+MGDiWBJTAu6W+EtY8CLWivKpIJ17jRzr798d/2W/jsLFcM= In-Reply-To: <vdjat6$37hca$1@dont-email.me> Bytes: 2459 Lines: 18 On 02.10.2024 13:30, FromTheRafters wrote: > WM pretended : >> No. ∀n ∈ ℕ: 1/n - 1/(n+1) > 0 does not prove that n+1 is a natural >> number. Note the infinite sequence >> 1, 2, 3, ..., ω-2, ω-1, ω. > > Omega minus one or two is undefined Yes in so far as these natural numbers are dark and cannot be reached by a FISON. > and n plus one closure is axiomatic. But it is in contradiction with NUF(x) passing 1. Do you understand that NUF(x) can nowhere increase by more than 1? Regards, WM