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Path: ...!eternal-september.org!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon <richard@damon-family.org> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively) Date: Sun, 5 Jan 2025 07:45:50 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <eae857459e3a319e5d1492ea00715844c5c79727@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <vkpa98$dofu$2@dont-email.me> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> <vkr8sq$t59a$2@dont-email.me> <d4669f26483b01c8a43dfd3ac4b61ab4a42bf551@i2pn2.org> <vksikk$17fjt$1@dont-email.me> <aa2941e93e806f1dda55d563dd062db67eb879f1@i2pn2.org> <vktmi3$1ia1u$1@dont-email.me> <c46775b30460bc564b3fe7bd1b838713829024f8@i2pn2.org> <vkv3t1$1qb93$1@dont-email.me> <2163aa0c0efba66c813e8ebda5ef5ece6d19ea34@i2pn2.org> <vl1bp4$2bcos$2@dont-email.me> <4d797c9134ea480aa4976cf866cacaede8d309bd@i2pn2.org> <vl5uid$3au1p$1@dont-email.me> <vl650i$3c2ia$1@dont-email.me> <vl6il4$3ecap$5@dont-email.me> <1e8ebc58a12fd659e38d0b9f0ff6fc0194f933be@i2pn2.org> <vl88v4$3qtjc$5@dont-email.me> <ecf6965f78c9152b3fff0d3b18d7df0247100acf@i2pn2.org> <vl9605$3vk27$5@dont-email.me> <9a25e92033e0a4d24e9c27df0de95d8b033d0862@i2pn2.org> <vlasro$cr0k$1@dont-email.me> <48c84c7c2cf784e9e83067f8491e8565ce333ddf@i2pn2.org> <vldnjp$vlag$2@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 5 Jan 2025 12:45:50 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2128180"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: <vldnjp$vlag$2@dont-email.me> Content-Language: en-US Bytes: 3100 Lines: 34 On 1/5/25 5:40 AM, WM wrote: > On 04.01.2025 14:17, Richard Damon wrote: >> On 1/4/25 3:52 AM, WM wrote: >>> On 04.01.2025 05:06, Richard Damon wrote: >>>> On 1/3/25 12:15 PM, WM wrote: >>> >>>>> Every union of FISONs which stay below a certain threshold stays >>>>> below that threshold. >>>> >>>> Every union of a finite number of FISONs is just an admssion that >>>> you can't do the actual union of *ALL* FISONs. >>> >>> For all FISONs:|ℕ \ {1, 2, 3, ..., n}| = ℵo. >>> That means there is no exception. >>> >> Just like every natural number is finite, >> but the set of *ALL* of them is infinite, each FISON is finite, > > Not only finite but below 1 % of |ℕ|. So? Until you can handle *ALL* of them together, your claim is just a lie about the whole. > >> but the union of *ALL* of them creates the full infinite set of >> Natural Numbers. > > Every union of FISONs which stay below a certain threshold stays below > that threshold. > > Regards, WM Which is meaningless to describe the effect of the union of *ALL* FISONs. You are just proving that you are so stupid you can't see your stupidity.