Path: ...!2.eu.feeder.erje.net!feeder.erje.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Thu, 03 Oct 2024 14:40:24 -0400 Organization: Peripheral Visions Lines: 13 Message-ID: References: <283c426f-ab1c-4ef0-a06c-1bf7d28a2cfa@att.net> <6b50a171-8127-4ce6-9bd3-2dc213638e9b@att.net> <519db81b-4a4d-417d-8cd2-7fef5a342efd@att.net> <6704347e-2f99-40f2-887f-de93f6fdd659@tha.de> <8b3e744d-3419-40c3-a7c6-fe59edd528a9@tha.de> <851e9929-8ab7-49d1-b478-e65c61fba2e3@att.net> <78a0f795-f1c0-4ba5-90f9-acf667968011@att.net> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 03 Oct 2024 20:40:30 +0200 (CEST) Injection-Info: dont-email.me; posting-host="57a45f7d877c64fd0f6d9f5e8558eb7b"; logging-data="4036400"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19Yyc8LxSHF1rLxdEXVdEbBMdWL7z2Cd+4=" Cancel-Lock: sha1:tBYikpfvaZzwnISJeRwqiX3I26k= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 2463 WM used his keyboard to write : > On 02.10.2024 21:44, FromTheRafters wrote: >> WM formulated the question : > >>> But it is in contradiction with NUF(x) passing 1. Do you understand that >>> NUF(x) can nowhere increase by more than 1? >> >> Nowhere but in your mind is that 'passing' a necessity. > > If all fractions are separated real points on the real axis, then there must > be a first one. Still wrong. Because you say so is not enough to convince anyone.