Path: ...!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: Tue, 17 Dec 2024 23:01:36 +0100 Organization: A noiseless patient Spider Lines: 17 Message-ID: References: <0b1bb1a1-40e3-464f-9e3d-a5ac22dfdc6f@tha.de> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <67e587a384538d7d311613630232bf025415e67b@i2pn2.org> <4efa80aa8ba6633e37130c0374e2f44d4c89c8a3@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 17 Dec 2024 23:01:37 +0100 (CET) Injection-Info: dont-email.me; posting-host="acd6e6aac9a4524fb309aaa38e5ddcd3"; logging-data="2026496"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18QnRY2JglyjM0XjaFEkCzHjJmsgcFZvLk=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:GLNGVmtQwC7ELxcHruWuJtyvxV8= In-Reply-To: Content-Language: en-US Bytes: 2493 On 17.12.2024 18:09, joes wrote: > Am Tue, 17 Dec 2024 11:30:46 +0100 schrieb WM: >> An unbounded number can be subtracted individually. > As long as it is finite. > >> However, if all are >> subtracted individually, then a last one is subtracted. That cannot >> happen. > Whatever do you mean by that? There is no last to inf.many. „All” are > not finite. But all can be subtracted collectively: |ℕ \ {1, 2, 3, ...}| = 0. Regards, WM