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Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsPath: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Mon, 23 Dec 2024 16:09:02 -0800 Organization: A noiseless patient Spider Lines: 47 Message-ID: References: <3c08ed64fa6193dc9ab6733b807a5c99a49810aa@i2pn2.org> <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org> <787067e5de3c455cb57389315b6821e96bcf86af@i2pn2.org> <1b6f89e7c35e4c9674af5a480e4bab6cb72e0915@i2pn2.org> <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 01:09:03 +0100 (CET) Injection-Info: dont-email.me; posting-host="d7ce48cf38462b28073ed26d9c338b5a"; logging-data="1532234"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19iSzdX+hLT5kyfxTPjCv+A+wu5VxilU48=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:lOzETo4b9IdvGBfTfhwyX3E7ioo= Content-Language: en-US In-Reply-To: Bytes: 3457 On 12/23/2024 4:02 PM, Chris M. Thomasson wrote: > On 12/23/2024 3:56 PM, Moebius wrote: >> Am 24.12.2024 um 00:49 schrieb Chris M. Thomasson: >>> 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]. >>>> >>>> The LAST one, which you say must exist to use your logic. >>> >>> LOL! n+1? >>> >>> Am I close here? Or way off? >> >> Yeah, you are close to the edge. >> >> See: https://www.youtube.com/watch?v=51oPKLSuyQY > > Does > > { 0, 1, 2, 3, ...} > > equal: > > { 0 + 0, 0 + 1, 0 + 2, 0 + 3, ... } > > Or just a big, NO! Minus any insults? lol! ;^D > > Does WM mean that n is that infinite outside of the "limit" of the > unsigned integers growing, or tending, toward unbounded infinity? Well, if WM thinks that the unsigned integers are NOT unbounded, well he is wrong?