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Path: ...!eternal-september.org!feeder3.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 (extra-ordinary) Date: Sat, 28 Dec 2024 17:45:26 +0100 Organization: A noiseless patient Spider Lines: 10 Message-ID: <vkp9v6$dofu$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vj9s4i$11a3p$1@dont-email.me> <vjam6d$1700v$1@dont-email.me> <vjc65g$1i9vk$3@dont-email.me> <vjf7kl$2s7e5$1@dont-email.me> <vjfmq3$2upa9$3@dont-email.me> <c6b624cb0b1b55d54aab969ee5b4e283ec7be3cd@i2pn2.org> <vjhp8b$3gjbv$1@dont-email.me> <dc9e7638be92c4d158f238f8c042c8559cd46521@i2pn2.org> <vjjg6p$3tvsg$1@dont-email.me> <c31edc62508876748c8cf69f93ab80c0a7fd84ac@i2pn2.org> <vjka3b$1tms$3@dont-email.me> <e11a34c507a23732d83e3d0fcde7b609cdaf3ade@i2pn2.org> <vjmse3$k2go$2@dont-email.me> <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <vjooeq$11n0g$2@dont-email.me> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <vjrfcc$1m1b2$1@dont-email.me> <75921cc1f17cdb691969a99e666f237cd09c0b09@i2pn2.org> <vjsrp1$1tqvv$2@dont-email.me> <25729298b142c60d5b245231984119d42d4ac089@i2pn2.org> <vko14j$53b6$3@dont-email.me> <vko1vp$5mmo$1@dont-email.me> <vkovk1$b7ki$1@dont-email.me> <6d1eddd3fbf2b84297a25a283466799eef07cb3f@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 28 Dec 2024 17:45:27 +0100 (CET) Injection-Info: dont-email.me; posting-host="e36a69b41f434935b6f127ce88ecad5c"; logging-data="451070"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+8JVgmoTmjwqJo2OYYELt9BPfMVVK8sKo=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:hlMp/60D87aenaLi+JY8u6WrDT0= In-Reply-To: <6d1eddd3fbf2b84297a25a283466799eef07cb3f@i2pn2.org> Content-Language: en-US Bytes: 2409 On 28.12.2024 15:15, Richard Damon wrote: > doing an INFIITE union (which a union of all FISONs would be) can > result in something different in type then the union of a finite number > of FISONs. Every FISON covers less than half of all natural numbers. That implies that all FISONs and the union of all FISONs cover less than half of all natural numbers. Regards, WM