Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively) Date: Fri, 3 Jan 2025 12:24:54 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: References: <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> <2163aa0c0efba66c813e8ebda5ef5ece6d19ea34@i2pn2.org> <4441753d454842cfa2efde51b362ca5d36937a48@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Fri, 3 Jan 2025 12:24:54 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1802568"; 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: 2468 Lines: 14 Am Thu, 02 Jan 2025 18:18:04 +0100 schrieb WM: > On 02.01.2025 14:22, Richard Damon wrote: >> On 1/2/25 6:36 AM, WM wrote: >>> On 01.01.2025 03:03, Richard Damon wrote: >>> >>>> Yes, SOME of the properties of the set come from properties of its >>>> members, >>> What property does not? >> Like being infinite. > Mistake. An infinite set needs infinitely many elements. …which don’t need to be infinite themselves. QED. -- 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.