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Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsPath: ...!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 Date: Tue, 5 Nov 2024 13:34:28 +0100 Organization: A noiseless patient Spider Lines: 16 Message-ID: References: <0e67005f-120e-4b3b-a4d2-ec4bbc1c5662@att.net> <03b90d6c-fff1-411d-9dec-1c5cc7058480@tha.de> <380a63a4ba5e4206504c27b06c9f2a4b6bf3c02d@i2pn2.org> <8671079a0207b0f016ab1455868167011f3e65be@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Tue, 05 Nov 2024 13:34:28 +0100 (CET) Injection-Info: dont-email.me; posting-host="7a5c3d5bd5beaedc8f6221c54ec21ecb"; logging-data="1601168"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/9ph5nfQ+c9pbFO0WNz8YhcoSYf87DmJQ=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:59+dIikoZpQ8ED7rnGwVPFWvsh4= In-Reply-To: Content-Language: en-US Bytes: 2063 On 05.11.2024 13:03, Richard Damon wrote: > On 11/5/24 3:45 AM, WM wrote: >> I describe that a point between two finite intervals has two finite >> intervals around it. Even this simple conclusion must be denied by the >> believers in matheology. > If you mean that between to finite length > intervals, which include there endpoints, and a point that is between > those two intervals, then YES there exist two other intervals between > the point and those two intervals. These other intervals also have irrational endpoints. Every point outside of an interval is next to some endpoint which is irrational. Regards, WM