Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Mon, 9 Dec 2024 14:04:09 +0100 Organization: A noiseless patient Spider Lines: 20 Message-ID: References: <9bcc128b-dea8-4397-9963-45c93d1c14c7@att.net> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 09 Dec 2024 14:04:13 +0100 (CET) Injection-Info: dont-email.me; posting-host="494cdfa528696f2d5423ae7fa961822f"; logging-data="451585"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18E8+SEheESTDJKENRKH/ZrXw0dt+6oGEk=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:FKJxdFGkyozQgH1pcv94S7FTEn8= In-Reply-To: Content-Language: en-US Bytes: 2609 On 09.12.2024 13:03, Richard Damon wrote: > On 12/9/24 4:04 AM, WM wrote: >> 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. >> > By your logic, 1 equals 0, No, that are two different sequences. Regards, WM