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: Fri, 18 Oct 2024 08:05:47 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <6e56c7212ae96244c827174868bc7decb15ed5f3@i2pn2.org> References: <3f5fcf13171337f1c3d2ef84cc149be327648451@i2pn2.org> <97b84c07aa526903a0788584f7f7ae9121f8b81f@i2pn2.org> <60f1280e-e226-4314-8eca-da5410be8ca3@tha.de> <96a7aa944085e76faed69c8db9a8dca599e1a159@i2pn2.org> <7d314712-c5b5-4dfc-af61-3885ccf1c771@tha.de> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Fri, 18 Oct 2024 08:05:47 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2553830"; 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: 2417 Lines: 12 Am Thu, 17 Oct 2024 20:14:07 +0200 schrieb WM: > On 16.10.2024 21:48, FromTheRafters wrote: > >>there is closure in the set of naturals for addition. > In potential infinity we obtain more even natural numbers than have been > doubled. (Closure) That is not what closure means: that you always stay in the same set no matter what you do. You especially don't obtain more numbers (larger, sure). -- 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.