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 22:46:40 +0100 Organization: A noiseless patient Spider Lines: 18 Message-ID: References: <0b1bb1a1-40e3-464f-9e3d-a5ac22dfdc6f@tha.de> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <323257d7133cbe48708dfbbd509db649e3a60ad4@i2pn2.org> <8db1dfa800f192789aac1bc80f6994038e9010c3@i2pn2.org> <7df56e42802228fa15faf80360dcc597698db329@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 22:46:41 +0100 (CET) Injection-Info: dont-email.me; posting-host="acd6e6aac9a4524fb309aaa38e5ddcd3"; logging-data="2026496"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19oIR8Nc5ny+yzfGt5w8JuzYdzIMo1IoAY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:ikpHWtkUEFLdQA/ZNJ+Lj36mhUM= In-Reply-To: <7df56e42802228fa15faf80360dcc597698db329@i2pn2.org> Content-Language: en-US Bytes: 2581 On 17.12.2024 12:14, joes wrote: > Am Mon, 16 Dec 2024 09:37:13 +0100 schrieb WM: > You don’t. You only ever apply a finite number (except in the limit). I apply all natural numbers k ∈ ℕ which Cantor applies. In both cases there is no limit. >> Cantor >> applies only finite k and claims that none remains unused (as the >> content of all endsegments). > Cantor applies the infinite set. How would he apply the infinite set? Please explain why you think that he applies more than all k ∈ ℕ. Regards, WM