Path: ...!eternal-september.org!feeder3.eternal-september.org!news.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, 10 Dec 2024 17:46:11 -0500 Organization: Peripheral Visions Lines: 18 Message-ID: References: <50c82b03-8aa1-492c-9af3-4cf2673d6516@att.net> <5a122d22-2b21-4d65-9f5b-4f226eebf9d4@att.net> <3af23566-0dfc-4001-b19b-96e5d4110fee@tha.de> <8a53c5d4-4afd-4f25-b1da-30d57e7fe91c@att.net> <10ebeeea-6712-4544-870b-92803ee1e398@att.net> <1f1a4089-dfeb-45f8-9c48-a36f6a4688fb@att.net> <33f28df0237f8d102519dae4ce5ed43e3ffff529@i2pn2.org> 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, 10 Dec 2024 23:46:42 +0100 (CET) Injection-Info: dont-email.me; posting-host="9192773c17187b8a218de717aafdcd4e"; logging-data="1242046"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/ZME5Fca/Kwywqs62fynf9lx1nvd/wAB8=" Cancel-Lock: sha1:IUF1hsDK/E++6dlxoLLWccDywAM= X-Newsreader: MesNews/1.08.06.00-gb X-ICQ: 1701145376 Bytes: 2710 joes pretended : > Am Mon, 09 Dec 2024 22:28:41 +0100 schrieb WM: >> On 09.12.2024 20:23, joes wrote: >> > Am Mon, 09 Dec 2024 10:04:23 +0100 schrieb WM: >> >> On 08.12.2024 19:01, Jim Burns wrote: >> >> >> >>> You (WM) are considering infinite dark.finite.cardinals, >> >>> which do not exist. >> >> Then analysis is contradicted in set theory. >> >> ∀n ∈ ℕ: E(1)∩E(2)∩...∩E(n) = E(n). >> >> The limit of the left-hand side is empty, the limit of the >> >> right-hand side is full, i.e. not empty. >> >> I do not tolerate that. >> > What is the RHS limit? >> There is no limit in set theory, contrary to the LHS limit { }. > Dafuq? How do you derive that? Why not for the RHS? That sounds downright sinister.