Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!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: Wed, 01 Jan 2025 09:47:11 -0500 Organization: Peripheral Visions Lines: 13 Message-ID: References: <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <75921cc1f17cdb691969a99e666f237cd09c0b09@i2pn2.org> <25729298b142c60d5b245231984119d42d4ac089@i2pn2.org> <09ef32dfb3944d321e15e1383820166a2082d5cb@i2pn2.org> <6d7fb8f4346eb09ea7ccdff45e8ff3d0c4a45ab0@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: Wed, 01 Jan 2025 15:47:21 +0100 (CET) Injection-Info: dont-email.me; posting-host="0becb45c4fd5e6909e404c5d6fd3b932"; logging-data="2972080"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19G2oCZLa3QajrVqOXQomExf7aigTzvNZw=" Cancel-Lock: sha1:iNVxPRzQKYQY871ToOBewkUO6hw= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2390 WM wrote : > 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 How can that be? If you have defined your FISODNs as being what's left of the elements of N after 'almost all' have been excluded from consideration in the new set, then multiplication is only a partial function.