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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!eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Fri, 10 Jan 2025 02:45:42 +0100 Organization: A noiseless patient Spider Lines: 29 Message-ID: References: <8e95dfce-05e7-4d31-b8f0-43bede36dc9b@att.net> <53d93728-3442-4198-be92-5c9abe8a0a72@att.net> <9c18a839-9ab4-4778-84f2-481c77444254@att.net> <8ef20494f573dc131234363177017bf9d6b647ee@i2pn2.org> <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <417ff6da-86ee-4b3a-b07a-9c6a8eb31368@att.net> <07258ab9-eee1-4aae-902a-ba39247d5942@att.net> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 10 Jan 2025 02:45:43 +0100 (CET) Injection-Info: dont-email.me; posting-host="e55a72decad5857fdf1d7f2890a6564b"; logging-data="3816153"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/ApkEo+1upO6LWo3SkiDMN" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:DgZIuGbS/TwSqxPHgW4SbQdTXwo= In-Reply-To: Content-Language: de-DE Bytes: 2787 Am 10.01.2025 um 02:19 schrieb Chris M. Thomasson: > On 1/9/2025 5:15 PM, Moebius wrote: >> Am 09.01.2025 um 22:12 schrieb Chris M. Thomasson: >>> On 1/9/2025 8:18 AM, WM wrote: >>>> On 09.01.2025 10:56, FromTheRafters wrote: >>>>> WM explained : >>>> >>>>>> The set {1, 2, 3, ...} is smaller by one element than the set {0, >>>>>> 1, 2, 3, ...}. >>>>> >>>>> Both sets are equal in size >>>> >>>> No. Both sets appear equal (although everybody can see that they are >>>> not) when measured by an insufficient tool. >>> >>> { 0, 1, 2, 3, ... } = { 1 - 1, 2 - 1, 3 - 1, 4 - 1, ... } >> >> Really? :-) >> > Well, wrt [...] Sorry, read your "-" as, ", -". Silly me! Yeah, they are EQUAL (IDENTICAL). :-) .. .. ..