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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.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Mon, 4 Nov 2024 12:26:26 +0100 Organization: A noiseless patient Spider Lines: 12 Message-ID: <vgab11$st52$3@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 12:26:26 +0100 (CET) Injection-Info: dont-email.me; posting-host="10c225c131b9f83ecf8835aacca35945"; logging-data="947362"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/1wD8jiP0tDmnmadQozg2FaPTfi9yzrdE=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Y1tZ2gEuPizeA2t4zS6NJr37ZZY= In-Reply-To: <0e67005f-120e-4b3b-a4d2-ec4bbc1c5662@att.net> Content-Language: en-US Bytes: 1391 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 in geometry. The measure outside of the intervals is infinite. Hence there exists at least one point outside. This point has two nearest intervals Regards, WM