Path: ...!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: How many different unit fractions are lessorequal than all unit fractions? Date: Sat, 5 Oct 2024 13:02:20 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <14315d09f608b98681817348c19ededcfc4fba3b@i2pn2.org> References: <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> <67e26dda-ec44-4927-82ac-dfc17dc3d07d@att.net> <53e48f71-1b93-4f2e-a21a-68a40b6ccefd@att.net> <0fe7418c059c5ae4c456927eed937f9df34bb7b4@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 5 Oct 2024 13:02:20 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="647714"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2495 Lines: 13 Am Sat, 05 Oct 2024 11:32:44 +0200 schrieb WM: > On 05.10.2024 10:08, joes wrote: >> Am Fri, 04 Oct 2024 22:09:41 +0200 schrieb WM: >>> But it is no quantifier shift but simplest logic: >>> If ℵ₀ unit fractions do not sit at one point (and are not dark) then >>> they can be subdivided into smaller parts. >> Which they can. > Do it. Fail because slightly fewer is not possible. What do you mean? All the unit fractions have, as you say, finite distances, which means there are numbers inbetween. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.