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Failed to connect to MySQL: (1203) User howardkn already has more than 'max_user_connections' active connectionsPath: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!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: Thu, 9 Jan 2025 13:12:11 -0800 Organization: A noiseless patient Spider Lines: 15 Message-ID: References: <98519289-0542-40ce-886e-b50b401ef8cf@att.net> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 09 Jan 2025 22:12:12 +0100 (CET) Injection-Info: dont-email.me; posting-host="dc9a5d5b35debff00bf53408719c9f31"; logging-data="3726344"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/MaogvuKdrJwpgibOM8TZep4q12zwFcVU=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:5odByLt4YygO7Nl0vxPWF8IDcwY= In-Reply-To: Content-Language: en-US Bytes: 2491 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, ... }