Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Tue, 17 Dec 2024 05:07:11 -0500 Organization: Peripheral Visions Lines: 15 Message-ID: References: <0b1bb1a1-40e3-464f-9e3d-a5ac22dfdc6f@tha.de> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 17 Dec 2024 11:07:15 +0100 (CET) Injection-Info: dont-email.me; posting-host="efa63d9876eee3a372f3d846cfaaf5c5"; logging-data="1787893"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/3DIUhwXLk8rmflns7nqdHkzTLUnCsGJg=" Cancel-Lock: sha1:FfoGYb9EmXKRsAOwUAFl94dvlj8= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2419 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?