Path: ...!weretis.net!feeder9.news.weretis.net!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) Date: Wed, 1 Jan 2025 13:54:22 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <560527417463070471abeebdf52aebd769c259dc@i2pn2.org> References: <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <75921cc1f17cdb691969a99e666f237cd09c0b09@i2pn2.org> <25729298b142c60d5b245231984119d42d4ac089@i2pn2.org> <09ef32dfb3944d321e15e1383820166a2082d5cb@i2pn2.org> <6d7fb8f4346eb09ea7ccdff45e8ff3d0c4a45ab0@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Wed, 1 Jan 2025 13:54:22 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1488336"; 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: 2540 Lines: 17 Am Tue, 31 Dec 2024 10:39:12 +0100 schrieb WM: > On 31.12.2024 09:56, joes wrote: >> Am Mon, 30 Dec 2024 22:53:38 +0100 schrieb WM: > > Correction: > The collection of definable natural numbers (FISONs) is closed under > multiplication. In fact it will never reach let alone surpass any > definable fraction of ℕ. In fact it is infinite. >> Now what is the multiplication of a FISON? > Every FISON is less than 1 % of ℕ because by expanding it by a factor > 100 the situations remains the same - forever. Are you talking about extending a FISON? -- 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.