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: Mikko Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Wed, 27 Nov 2024 11:33:41 +0200 Organization: - Lines: 20 Message-ID: References: <5b8de1bc-9f6c-4dde-a7cd-9e22e8ce19d9@att.net> <31419fde-62b3-46f3-89f6-a48f1fe82bc0@att.net> <476ae6cb-1116-44b1-843e-4be90d594372@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 27 Nov 2024 10:33:42 +0100 (CET) Injection-Info: dont-email.me; posting-host="ab6fb872c92ba29b852804a380368ae9"; logging-data="4154290"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19pvXrE18G2x6CiAjyZ3w5a" User-Agent: Unison/2.2 Cancel-Lock: sha1:YY/PvtrzFZK1Y25V9d8EAy4tcPs= Bytes: 2374 On 2024-11-26 11:07:57 +0000, WM said: > On 26.11.2024 10:09, Mikko wrote: >> On 2024-11-25 14:38:13 +0000, WM said: > >>> The simple example contradicts a bijection between the two sets >>> described above. >> >> What does "contradicts a bijection" mean? >> > It shows that the mapping claimed to be a bijection is not a bijection. If so, no bijection is contradicted. However, that does not prove that there is no bijection between the same two sets. -- Mikko