Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Wed, 27 Nov 2024 21:36:09 +0100 Organization: A noiseless patient Spider Lines: 32 Message-ID: References: <0d6d06a888e15ed2042aca8ec7e6ebb93590b7bc@i2pn2.org> <8a2aedd8383a84ceef2fd985ac0bf529e2a0eccf@i2pn2.org> <3fe6ef31f562e0ddf598de46cf864986ca909687@i2pn2.org> <9cb8aec671200bb6d71582fd607b876b7ec4c83a@i2pn2.org> <40292abc147fee5a7bdd264b69d34ddf2061e59d@i2pn2.org> <0bc3cdc8c096bba16decd94ad2af85d35da9b7b4@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 27 Nov 2024 21:36:10 +0100 (CET) Injection-Info: dont-email.me; posting-host="58239a7b3a020d2732b6b155de2bdfee"; logging-data="182245"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19Uuqq13VMYDOJPM3SA9DFi" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:OrymLjVEYMSecFK5qlTcb8VWUZw= In-Reply-To: Content-Language: de-DE Bytes: 2854 Am 27.11.2024 um 21:28 schrieb Chris M. Thomasson: > On 11/27/2024 11:15 AM, WM wrote: >> On 27.11.2024 18:58, Richard Damon wrote: >>> On 11/27/24 12:13 PM, WM wrote: >> >>>> Replacing every element of the set {0, 1, 2, 3, ...} by its >>>> successor yields {1, 2, 3, ..., ω}. Holy shit! Nein, Mückenheim! {n' : n e IN u {0}} = IN und bekanntlich ist ω nicht e IN u {0} also auch nicht e IN. Du bist wirklich dümmer als die Polizei erlaubt! Hinweis: ~En e IN u {0}: n' = ω. >>> Nope, [...] the successor of EVERY natural number is a natural number >>> [hence] omega is NOT the successor for any natural number Jep. Indeed! >> The successor of the last natural number is ω. Mückenheim, geh doch endlich mal zu einem Psychiater! > There is no last natural number you fucking dipshit! Yeah.