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Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!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: Wed, 6 Nov 2024 17:36:43 +0100 Organization: A noiseless patient Spider Lines: 16 Message-ID: <vgg5uq$25spe$4@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <0e67005f-120e-4b3b-a4d2-ec4bbc1c5662@att.net> <vgab11$st52$3@dont-email.me> <ecffc7c0-05a2-42df-bf4c-8ae3c2f809d6@att.net> <vgb0ep$11df5$4@dont-email.me> <35794ceb-825a-45df-a55b-0a879cfe80ae@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Wed, 06 Nov 2024 17:36:42 +0100 (CET) Injection-Info: dont-email.me; posting-host="fa4d81affe87dc195ff2c4aafd71ec8e"; logging-data="2290478"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/+dB9cQxq+bALteteI0xtBhmo60YnYhDg=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:765RLGTw2+eVlSEa76dDevXrUls= Content-Language: en-US In-Reply-To: <35794ceb-825a-45df-a55b-0a879cfe80ae@att.net> Bytes: 1759 On 05.11.2024 18:25, Jim Burns wrote: > > Instead, there are boundary points. > For each x not.in the intervals, > each open set Oₓ which holds x > holds points in the intervals and > points not.in the intervals. > x is a boundary point. For every definable x we can decide whether it is inside the interval including its endpoints or outside. No open intervals are necesseary or useful. Your trick is cunning bot not accepted. Regards, WM