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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 17:55:35 +0100 Organization: A noiseless patient Spider Lines: 21 Message-ID: <vgaua6$11df5$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <0e67005f-120e-4b3b-a4d2-ec4bbc1c5662@att.net> <vga5mb$st52$1@dont-email.me> <vga7qi$talf$1@dont-email.me> <03b90d6c-fff1-411d-9dec-1c5cc7058480@tha.de> <380a63a4ba5e4206504c27b06c9f2a4b6bf3c02d@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Mon, 04 Nov 2024 17:55:34 +0100 (CET) Injection-Info: dont-email.me; posting-host="499bee167da49173d367555ed141e202"; logging-data="1095141"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX197BXhyZL0NoCaWRHosLypNOUTLlfFFACQ=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Lyr6W9/3kNYNcsdY9xV3AQUHUEE= Content-Language: en-US In-Reply-To: <380a63a4ba5e4206504c27b06c9f2a4b6bf3c02d@i2pn2.org> Bytes: 1899 On 04.11.2024 13:28, Richard Damon wrote: > On 11/4/24 5:47 AM, WM wrote: >> I said the nearest one. There is no interval nearer than the nearest one. > > Unless "nearest" isn't a thing because things are dense. The intervals cannot be dense because they have a length of less than 3 in an infinite space. The rationals are dense. This proves that they are not countable.>> >>> Therefore the >>> point has no nearest interval. >> >> That is an unfounded assertions and therefore not accepted. > > No, it is a PROVEN statement, therefor true. It is proven in an inconsistent theory. I describe the true mathematics. Regards, WM