Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Sat, 16 Nov 2024 20:42:22 +0100 Organization: A noiseless patient Spider Lines: 24 Message-ID: References: <0e67005f-120e-4b3b-a4d2-ec4bbc1c5662@att.net> <03b90d6c-fff1-411d-9dec-1c5cc7058480@tha.de> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 16 Nov 2024 20:42:23 +0100 (CET) Injection-Info: dont-email.me; posting-host="f0afa40d0ce39769794fe7090928fec0"; logging-data="173509"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18m62E4JvWU6Hwb9RSLokzFZs3PPVb6qXo=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:myPjZufzqVYVh6b7xGnkTh2dVCQ= In-Reply-To: Content-Language: en-US Bytes: 2817 On 16.11.2024 10:21, Mikko wrote: > On 2024-11-15 12:00:43 +0000, WM said: > >> On 15.11.2024 11:43, Mikko wrote: >>> On 2024-11-14 10:34:52 +0000, WM said: >> >>>> No. Covering by intervals is completely independent of their >>>> individuality and therefore of their order. >>> >>> Translated intervals are not the same as the original ones. Not only >>> their >>> order but also their positions can be different as demonstrated by your >>> example and mine, too. >> >> If they do not cover the whole figure in their initial order, then they >> cannot do so in any other order. > > So you want to retract your claims that involve another order? My claim is the obvious truth that the intervals [n - 1/10, n + 1/10] in every order do not cover the positive real line, let alone infinitely often. Regards, WM