Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Sat, 11 Jan 2025 04:41:09 +0100 Organization: A noiseless patient Spider Lines: 32 Message-ID: References: <8ef20494f573dc131234363177017bf9d6b647ee@i2pn2.org> <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <412770ca-7386-403f-b7c2-61f671d8a667@att.net> <59af1502-0bc9-4266-b556-6164edb6a8d4@att.net> <9a22a29bfd5af29db5bad5f3cae537665b8dafd7@i2pn2.org> <3918860dac06c85fd300953fa7ba2cd35c084460@i2pn2.org> <02e95cccef7a3cd03bbc32806ed278d4f05a6e26@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 11 Jan 2025 04:41:10 +0100 (CET) Injection-Info: dont-email.me; posting-host="afb9fcf797f54f3138f574402a8e81c0"; logging-data="498484"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18xOU/PLjyLI6jD85jXTiRC" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:NcQH+krv02niRzwAE0vb0Pnu3P8= Content-Language: de-DE In-Reply-To: Bytes: 2929 Am 10.01.2025 um 23:15 schrieb Chris M. Thomasson: > On 1/10/2025 4:41 AM, Richard Damon wrote: >> On 1/9/25 5:01 PM, WM wrote: >>> On 09.01.2025 21:24, joes wrote: >>>> Am Thu, 09 Jan 2025 17:51:43 +0100 schrieb WM: >>> >>>> all ordinals have an order, but omega still has no predecessor >>> >>> You Was verstehst Du an der Aussage "omega has no predecessor" nicht, Du psychotischer Spinner? >> It has no predecessor, just like 0 has no predecessor [...] > > 0 has no predecessor in the unsigned integers. > > Well, we can go into the signed integers where a predecessor of 0 is 0 - > 1 ? Yes, but -1 is no ordinal number. 0 is the smallest _finite_ ordinal number and omega is the smallest _infinite_ ordinal number. Note: the unsigned integers (i.e. the natural numbers) == the finite ordinal numbers. .. .. ..