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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Fri, 27 Dec 2024 21:08:36 -0800 Organization: A noiseless patient Spider Lines: 31 Message-ID: <vko14j$53b6$3@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <vj6vhh$elqh$2@dont-email.me> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 28 Dec 2024 06:08:36 +0100 (CET) Injection-Info: dont-email.me; posting-host="6acb9db7a3dd5b8ccb4911cb59c71a23"; logging-data="167270"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18j+C1llnmFMfnmh8bj1YJUifMxI57QJec=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Uaqs7kebREQdgyevwMlumBIK//o= Content-Language: en-US In-Reply-To: <25729298b142c60d5b245231984119d42d4ac089@i2pn2.org> Bytes: 2836 On 12/18/2024 4:25 AM, Richard Damon wrote: > On 12/17/24 4:51 PM, WM wrote: >> On 17.12.2024 13:34, Richard Damon wrote: >> >>>> According to Cantor the "bijection" uses all n and nothing more. >>> >>> Right, but no FISON uses contains ALL n. >> >> But all FISONs contain/are all n. >> >> Regards, WM >> >> > > ???? The FISONs are all finite, so NONE of them contain *ALL* n. Ditto. :^) { { 1 }, { 1, 2 }, { 1, 2, 3 }, ... } Infinite FISONs, they are all finite. No FISON has infinity, or else it would not be a FISON to being with? Fair enough? > > You can have a FISON for ANY n, but a give FISON isn't for ALL n. > > You don't seem to understand the difference. > > You don't seem to understand that the whole can be more than the sum of > its parts.