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: Fri, 03 Jan 2025 06:21:20 -0500 Organization: Peripheral Visions Lines: 44 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: Fri, 03 Jan 2025 12:21:27 +0100 (CET) Injection-Info: dont-email.me; posting-host="4f046e9c71db29bf0ee9d18f1dec40b3"; logging-data="4080852"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+PbpB4TjcwQoIWrCBiyGRHAF6LouXDOAs=" Cancel-Lock: sha1:p/I3P0l9tNxWlG1FOPrZE2oKYEc= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 3104 Moebius wrote : > Am 03.01.2025 um 02:37 schrieb Chris M. Thomasson: >> On 1/2/2025 5:43 AM, FromTheRafters wrote: >>> WM used his keyboard to write : >>>> On 01.01.2025 15:47, FromTheRafters wrote: >>>>> WM wrote : >>>> >>>>>> The [set] of [...] natural numbers [...] is closed under >>>>>> multiplication. (WM) > > Indeed! > > For all n,m e IN: n*m e IN. > > Mückenheim is the master! > >>>>> How can that be? (From the After) > > Well, it's a simple fact which can be proved (based on the Peano Axioms and > the definition of * on IN). I'm aware of that fact, but WM's "definable" naturals are supposedly a finite subset of the naturals -- which are not an infinite set, which makes either his statement wrong or his notion of growing finite subsets wrong. > Nonsense. > >>> Easy, he stood on a chair. (From the After) > > He? WM? > >> lol! ;^) > > Sorry, but I'm lost. A punchline from an old non-joke. 'Did you hear about the man who could lick his own forehead?' 'No, how is that even possible?' 'Easy, he stood on a chair.' Basically, it was just nonsense meaning his response was non-responsive.