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Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Mon, 4 Nov 2024 10:55:24 +0100 Organization: A noiseless patient Spider Lines: 10 Message-ID: <vga5mb$st52$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <0e67005f-120e-4b3b-a4d2-ec4bbc1c5662@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 04 Nov 2024 10:55:23 +0100 (CET) Injection-Info: dont-email.me; posting-host="10c225c131b9f83ecf8835aacca35945"; logging-data="947362"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19m4kQSUy7Y94k+i4bCRNTJ60BFWp727ls=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:O1Gsh3bc6KoqrPqBVoqYiiYXAnw= Content-Language: en-US In-Reply-To: <0e67005f-120e-4b3b-a4d2-ec4bbc1c5662@att.net> Bytes: 1365 On 03.11.2024 23:18, Jim Burns wrote: > There aren't any neighboring intervals. > Any two intervals have intervals between them. That is wrong. The measure outside of the intervals is infinite. Hence there exists a point outside. This point has two nearest intervals Regards, WM