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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: WM <wolfgang.mueckenheim@tha.de> Newsgroups: sci.math Subject: Re: The non-existence of "dark numbers" [was: The existence of dark numbers proven by the thinned out harmonic series] Date: Sun, 16 Mar 2025 19:44:10 +0100 Organization: A noiseless patient Spider Lines: 18 Message-ID: <vr765p$2a6rj$1@dont-email.me> References: <vqrbtd$1chb7$2@solani.org> <vqrn89$u9t$1@news.muc.de> <vqrp47$2gl70$1@dont-email.me> <vqrtn3$1uq5$1@news.muc.de> <vqs1og$2k7oh$2@dont-email.me> <d7793397-d27c-4a5e-938e-5bb52a89ddda@att.net> <vqspuj$2p6pb$2@dont-email.me> <163d9b2e-c83f-41d2-a895-65cf4e152a66@att.net> <vqud0b$36bb4$3@dont-email.me> <8e684425-63cb-4d9c-9124-ee07acdd9017@att.net> <vr1eo0$1er2v$3@dont-email.me> <73359d09-bf4b-4970-bf4c-133bf2cc6218@att.net> <vr28l1$23fi8$1@dont-email.me> <606abd47-0342-4122-bdd8-239c42beb740@att.net> <vr3e5m$1gbs1$2@solani.org> <5478ed00-1634-433c-a117-a640fcb34069@att.net> <vr4t6r$c3v1$1@dont-email.me> <a60f4402-f0c5-4635-8547-80073a4ca004@att.net> <vr67i8$1hj46$2@dont-email.me> <4b6dac29-8143-430d-b234-578200824822@att.net> <vr6une$21dt9$4@dont-email.me> <49fadcf7-365b-43a6-ad2f-222bd0819758@att.net> <vr7183$25ivv$2@dont-email.me> <c53b3139-7362-4acc-9d8c-357d4086b5ff@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 16 Mar 2025 19:44:09 +0100 (CET) Injection-Info: dont-email.me; posting-host="cf4896233970c7bd84555e103c583e26"; logging-data="2431859"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX197toFXwdboTO56azAxeji+efpK4GTJXwc=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:VgLCc67pW0tPufFEfWxFYsG37WI= Content-Language: en-US In-Reply-To: <c53b3139-7362-4acc-9d8c-357d4086b5ff@att.net> Bytes: 2507 On 16.03.2025 19:14, Jim Burns wrote: > On 3/16/2025 1:20 PM, WM wrote: >> Which index has the first lossless exchange >> where a loss happens? > > A set larger than > each set without same.sized proper.subsets > is not > any set without same.sized proper.subsets: > That set has same.sized proper.subsets. Waffle. All exchanges are indexed. If you claim that the first Bob disappears, then he must disappear at some index. Which is it? Regards, WM