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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: Mon, 23 Dec 2024 15:49:49 -0800 Organization: A noiseless patient Spider Lines: 28 Message-ID: <vkcsut$1eoa9$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <vjooeq$11n0g$2@dont-email.me> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <vjrfcc$1m1b2$1@dont-email.me> <3c08ed64fa6193dc9ab6733b807a5c99a49810aa@i2pn2.org> <vjss56$1tr00$2@dont-email.me> <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org> <vjv6fb$2dujf$2@dont-email.me> <b0c7449413fec43bc18e8d2d67da1c779a350bc2@i2pn2.org> <vk1cad$2srst$1@dont-email.me> <ceaaf003457afd2e381c8f115a4e691611162ffe@i2pn2.org> <vk3g0l$3cjvc$3@dont-email.me> <vk3lv1$3e9se$1@dont-email.me> <vk3vh6$3g0a3$1@dont-email.me> <vk4jfi$3k04r$4@dont-email.me> <d4d38bb75acc471a684759922b8f8d32707855a8@i2pn2.org> <vk6uu7$4f7v$1@dont-email.me> <cdd51ad73c172f40f3212801d7afd9eef8e60d47@i2pn2.org> <vk936n$khia$1@dont-email.me> <787067e5de3c455cb57389315b6821e96bcf86af@i2pn2.org> <f713f771-6cdd-44bb-90ab-7300d739f84b@tha.de> <1b6f89e7c35e4c9674af5a480e4bab6cb72e0915@i2pn2.org> <vkbalq$14tg7$2@dont-email.me> <733ce219e9d2422859035e5094a7b3e92eea9c47@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 24 Dec 2024 00:49:54 +0100 (CET) Injection-Info: dont-email.me; posting-host="d7ce48cf38462b28073ed26d9c338b5a"; logging-data="1532233"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/nmuYULyqBE8ofvbey0idZlHX6227NRmg=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:biv6zRpEySu0SqmcO8eUvMwXka8= Content-Language: en-US In-Reply-To: <733ce219e9d2422859035e5094a7b3e92eea9c47@i2pn2.org> Bytes: 2803 On 12/23/2024 6:32 AM, Richard Damon wrote: > On 12/23/24 4:31 AM, WM wrote: >> On 23.12.2024 02:01, Richard Damon wrote: >>> On 12/22/24 5:11 PM, WM wrote: >>>> On 22.12.2024 20:10, Richard Damon wrote: >>>>> On 12/22/24 8:11 AM, WM wrote: >>>> >>>>>> Find a natural number that is not in all intervals [1, n] which I >>>>>> use: >>>>>> ∀n ∈ ℕ [1, n]. >>>>> >>>>> But you can't use *ALL* intervals, becaue you need to use them >>>>> individually >>>> >>>> No, I do as Cantor did. >> >>> No, you do what you THINK Cantor did, >> >> Show an n that I do not use with all intervals [1, n]. >> >> Regards, WM >> > > The LAST one, which you say must exist to use your logic. LOL! n+1? Am I close here? Or way off?