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Path: ...!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: Mikko <mikko.levanto@iki.fi> Newsgroups: sci.logic Subject: Re: Simple enough for every reader? Date: Sun, 18 May 2025 13:30:13 +0300 Organization: - Lines: 32 Message-ID: <100ccrl$upk6$1@dont-email.me> References: <100a8ah$ekoh$1@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=utf-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 18 May 2025 12:30:14 +0200 (CEST) Injection-Info: dont-email.me; posting-host="db593b51986ab1c7ad0e4311e24c5f65"; logging-data="1009286"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/zFNHGw7Pr0WDHIZ2KC4Xn" User-Agent: Unison/2.2 Cancel-Lock: sha1:hjtDl4nRIZ8falPQhUqv7OUcmGw= Bytes: 1516 On 2025-05-17 15:00:33 +0000, WM said: > 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. For example, if we pick 5 for n we have {1} {1, 2} {1, 2, 3} {1, 2, 3, 4} {1, 2, 3, 4, 5} then 6 and infinitely many other numbers are missing. So numbers 6, and 7 are dark as are ingfinitely many other numbers. -- Mikko