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: Tue, 07 Jan 2025 09:00:10 -0500 Organization: Peripheral Visions Lines: 32 Message-ID: References: <98519289-0542-40ce-886e-b50b401ef8cf@att.net> <8e95dfce-05e7-4d31-b8f0-43bede36dc9b@att.net> <53d93728-3442-4198-be92-5c9abe8a0a72@att.net> <9c18a839-9ab4-4778-84f2-481c77444254@att.net> <8ef20494f573dc131234363177017bf9d6b647ee@i2pn2.org> <66868399-5c4b-4816-9a0c-369aaa824553@att.net> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="utf-8"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 07 Jan 2025 15:00:14 +0100 (CET) Injection-Info: dont-email.me; posting-host="df955ad94a3e4de7fcea6199322f49c9"; logging-data="2356601"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+TQSdFcbPDulbPSTLhmT/3NeysOSgYETw=" Cancel-Lock: sha1:xaX2E90OglPiOwmaBFvRkfH81AU= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 3048 Richard Damon formulated on Tuesday : > On 1/7/25 5:21 AM, WM wrote: >> On 07.01.2025 10:40, FromTheRafters wrote: >>> WM has brought this to us : >>>> On 06.01.2025 23:43, Jim Burns wrote: >> >>>>> k ∈ ℕ  ⇒  k+1 ∈ ℕ >>>>> is true for both the darkᵂᴹ and the visibleᵂᴹ. >>>> >>>> One exception exists: ω-1. >>> >>> Which remains undefined. >> >> Like all dark numbers. >> >> Regards, WM >> > > So, you admit that you can't even define what a dark number is. He 'defines' them as undefined or even undefinable. How he determines set inclusion or exclusion is by delusion. > THe problem is that it seems your "Dark numbers" are really just numbers that > don't exist, they are just the boggy men of your naive math "thoery" to > handle the fact that you think certain number must exist (like the highest > natural number) so you create this non-existant set of numbers to hide the > numbers that you think must exist but don't. > > They are just LIES. Yes, unless he actually believes what he spews.