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? (infinitary) Date: Mon, 14 Oct 2024 12:02:52 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <5d8340966bd1d2ad14094aea9149ac8396d11391@i2pn2.org> References: <4bc3b086-247a-4547-89cc-1d47f502659d@tha.de> <3f5fcf13171337f1c3d2ef84cc149be327648451@i2pn2.org> <7225fabecc1c1d3ea8543a6faba70164ef482fec@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Mon, 14 Oct 2024 12:02:52 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1993196"; 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: 2223 Lines: 12 Am Mon, 14 Oct 2024 12:28:58 +0200 schrieb WM: > On 12.10.2024 22:47, Richard Damon wrote: >> On 10/12/24 2:55 PM, WM wrote: > >>> 2n > n. That holds for all finite numbers. It halves the density. >> And half of infinity is infinity. > The density of the natural umbers is 1 number per place, the density of > the doubled numbers is 1/2 number per place. And there being inf. many places, that makes both amounts infinite. -- 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.