Path: ...!feeder3.eternal-september.org!i2pn.org!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: Mon, 30 Dec 2024 20:10:47 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: References: <4bf8a77e-4b2a-471f-9075-0b063098153f@att.net> <31180d7e-1c2b-4e2b-b8d6-e3e62f05da43@att.net> <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Mon, 30 Dec 2024 20:10:47 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1170789"; 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: 2579 Lines: 18 Am Sun, 29 Dec 2024 23:31:46 +0100 schrieb WM: > On 29.12.2024 22:27, joes wrote: >> Am Sun, 29 Dec 2024 11:39:22 +0100 schrieb WM: > >>> A relative size is very useful in order to correct the fantasy claim >>> that the union of all FISONs covers the infinite gap between all >>> FISONs and ω. >> There is no gap. > If all FISONs are finite and followed by infinite endsegments, then > there is an infinite gap. Nope. Infinity is just that far away - not finite. > My theorem: Every union of FISONs which stay below a certain threshold > stays below that threshold. Groundbreaking. -- 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.