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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: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: Simple enough for every reader? Date: Sat, 17 May 2025 11:44:58 -0700 Organization: A noiseless patient Spider Lines: 27 Message-ID: <100alfa$h8lo$1@dont-email.me> References: <100a8cr$ekoh$2@dont-email.me> <100agh5$317i$1@news.muc.de> <100ahdf$gdh7$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 17 May 2025 20:44:59 +0200 (CEST) Injection-Info: dont-email.me; posting-host="ea0ac74594074c95ef1cd0ab0a7cca1e"; logging-data="565944"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/elxHlr/wiHN4OYMOI/LopiuXWBYgjf8I=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:0F31vCo12xDdzZuLj3rGtF+iZBM= In-Reply-To: <100ahdf$gdh7$1@dont-email.me> Content-Language: en-US Bytes: 1752 On 5/17/2025 10:35 AM, WM wrote: > On 17.05.2025 19:20, Alan Mackenzie wrote: >> WM wrote: >>> Are you aware of the fact that in >> >>> {1} >>> {1, 2} >>> {1, 2, 3} >>> ... >>> {1, 2, 3, ..., n} >>> ... >> >>> up to every n infinitely many natural numbers of the whole set >> >>> {1, 2, 3, ...} >> >>> are missing? Infinitely many of them will never be mentioned >>> individually. They are dark. >> >> > > Exciting. Many readers claim(ed) that all natural numbers could be used > as individuals. Further this would be a precondition for countability of > infinite sets. Show me a dark natural number?