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: Sun, 20 Oct 2024 22:43:12 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <62cebe022b6dbe0183443515dce646edf9774d63@i2pn2.org> References: <3f5fcf13171337f1c3d2ef84cc149be327648451@i2pn2.org> <97b84c07aa526903a0788584f7f7ae9121f8b81f@i2pn2.org> <60f1280e-e226-4314-8eca-da5410be8ca3@tha.de> <96a7aa944085e76faed69c8db9a8dca599e1a159@i2pn2.org> <2c732eefb860986209bd46ed88391ddceaddff55@i2pn2.org> <27WcnWnC9tjPyIz6nZ2dnZfqn_idnZ2d@giganews.com> <4d080bc4-7c84-4951-a8f4-9bf0f95ad47f@tha.de> <25d2141b-2211-473c-b22b-079f4c103684@tha.de> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sun, 20 Oct 2024 22:43:12 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2857145"; 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: 2562 Lines: 14 Am Sun, 20 Oct 2024 09:51:37 +0200 schrieb WM: > On 20.10.2024 04:48, Richard Damon wrote: >> On 10/19/24 4:28 AM, WM wrote: >>> On 18.10.2024 14:26, Jim Burns wrote: >>> >>>> There is no ω such that the numbers are evenly.spaced between 0 and ω >>>> because that describes a finite ordinal, not ω >>> What is immediately before ω if not finite numbers? >> The SET of Natural Numbers, not any one in particular. > In this linearly ordered set there can only be one number before ω. The set N u {w} is not "linearly ordered". -- 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.