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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: Sun, 22 Dec 2024 14:11:51 +0100 Organization: A noiseless patient Spider Lines: 19 Message-ID: <vk936n$khia$1@dont-email.me> References: <vg7cp8$9jka$1@dont-email.me> <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> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 22 Dec 2024 14:11:51 +0100 (CET) Injection-Info: dont-email.me; posting-host="779124b0f9eb435d01e5c1ff507e7f96"; logging-data="673354"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19thxhAZ+8qTZ1aht5vNhtwHNxrW2tR5j4=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:5Db+bAVd6D3KxY1p/N+LuwKpAws= In-Reply-To: <cdd51ad73c172f40f3212801d7afd9eef8e60d47@i2pn2.org> Content-Language: en-US Bytes: 2573 On 22.12.2024 13:28, Richard Damon wrote: > On 12/21/24 12:46 PM, WM wrote: >> On 21.12.2024 04:37, Richard Damon wrote: >> >>> His problem is he isn't using the actual set of Natural Numbers, only >>> a FISON of 1 to n, > And you don't use ALL natural numbers, as you logic doesn't allow you to > do the needed infiite operations to use ALL, only ANY, You don't understand that. > > No FISION uses ALL the Natural Numbers, Find a natural number that is not in all intervals [1, n] which I use: ∀n ∈ ℕ [1, n]. Regards, WM