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: Tue, 17 Dec 2024 17:04:52 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <1964bcf08cd83dbd290d18c55a9aed592091c846@i2pn2.org> References: <0b1bb1a1-40e3-464f-9e3d-a5ac22dfdc6f@tha.de> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Tue, 17 Dec 2024 17:04:52 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3328591"; 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: 2656 Lines: 20 Am Tue, 17 Dec 2024 11:37:25 +0100 schrieb WM: > On 17.12.2024 11:07, FromTheRafters wrote: >> WM wrote : >>> On 17.12.2024 00:52, Richard Damon wrote: >>>> On 12/16/24 3:30 AM, WM wrote: >>>>> On 15.12.2024 21:21, joes wrote: >>> >>>>>>> Therefore we use all [1, n]. >>>>>> Those are all finite. >>>>> All n are finite. >>>> But N isn't, so the sets [1, n] aren't what the bijection is defined >>>> on. >>> Every element is the last element of a FISON [1, n]. >> Why does your FISON look like a real interval? > Originally I had used unit intervals [n, n+1] of real intervals (0, > 10n]. The argument remains the same. But why real intervals? -- 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.