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Path: ...!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: Tue, 31 Dec 2024 21:03:49 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <62e7ab3d2e8412dede1ed1cb6ac7d011869df33d@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <vk1brk$2srss$7@dont-email.me> <bb80c6c5-04c0-4e2d-bb21-ac51aab9e252@att.net> <vk23m7$31l8v$1@dont-email.me> <bce1b27d-170c-4385-8938-36805c983c49@att.net> <vk693m$f52$2@dont-email.me> <a17eb8b6-7d11-4c59-b98c-b4d5de8358ca@att.net> <vk7dmb$7mh2$2@dont-email.me> <b72490c1-e61a-4c23-a3a5-f624b2c084e4@att.net> <vk8tbq$j9h1$1@dont-email.me> <bd7dfdc7-6471-4fe6-b078-0ca739031580@att.net> <vklumc$3htmt$1@dont-email.me> <c03cf79d-0572-4b19-ad92-a0d12df53db9@att.net> <n9CdnR02SsevtPL6nZ2dnZfqnPidnZ2d@giganews.com> <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <vkpa98$dofu$2@dont-email.me> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> <vkr8sq$t59a$2@dont-email.me> <d4669f26483b01c8a43dfd3ac4b61ab4a42bf551@i2pn2.org> <vksikk$17fjt$1@dont-email.me> <cc282ee24e9d14c44b6da1d78bb2c3b83b54f4d0@i2pn2.org> <vkv48u$1qb93$3@dont-email.me> <aa3d67eefc7e0d9ad9eec10a17641a284a64f149@i2pn2.org> <vl1bv6$2bcos$3@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Wed, 1 Jan 2025 02:03:50 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1423076"; 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: <vl1bv6$2bcos$3@dont-email.me> Content-Language: en-US Bytes: 2855 Lines: 22 On 12/31/24 1:08 PM, WM wrote: > On 31.12.2024 16:39, Richard Damon wrote: > >> All you have proved is that any finite set has a maximum value, while >> the INFINITE set of Natural Numbers (or FISONs) do not, and thus your >> logic can't talk about "all". > > The set of natural numbers in FISONs is finite because it is the union > of FISONs. > Every union of FISONs which stay below a certain threshold stays below > that threshold. Every FISON is finite. > > Regards, WM > So, all you are showing is that finite sets are finite, but then you illogically claim that what holds for a finite set, must also hold for an infinite set, but it doesn't. Sorry, you are just proving your own utter stupidity, because you mind is just to small to understand that it is just too small and closes its eyes (and thus creates your darkness, but only in your own mind) that is nothing but your ignorance shining through.