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: Sat, 2 Nov 2024 12:17:59 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <2c514650bc3776fe4bd127c590acd5cc588a9bf8@i2pn2.org> References: <7a1e34df-ffee-4d30-ae8c-2af5bcb1d932@att.net> <6a90a2e2-a4fa-4a8d-83e9-2e451fa8dd51@att.net> <30dffbdf129483f7b61e3284d1e7bf2ad2e5ea16@i2pn2.org> <9ca97f4a24ae1e3041583265125cf860d2fada11@i2pn2.org> <30f7c3c7-606e-4fd6-80d7-a89a41e368e9@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 2 Nov 2024 12:17:59 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="590168"; 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: 2589 Lines: 17 Am Fri, 01 Nov 2024 18:33:34 +0100 schrieb WM: > On 01.11.2024 16:04, Jim Burns wrote: > >> Here, you say: the smallest exists. >> That does not pop the smallest into existence. > I say: All exist. That implies the smallest. If one exists. That does not mean that anything is "missing", just that no element has the property "smallest". I can't conjure a middle element of an even number of things, even though all are there. >> It contracts our discourse to lines which have a smallest. > Yes. The other alternative would consist of variable sets. Or infinite ones. -- 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.