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Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!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: Thu, 2 Jan 2025 08:22:12 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <a0da5ca26a5980926daade6a595ed302ba5f05ba@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <vk693m$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> <aa2941e93e806f1dda55d563dd062db67eb879f1@i2pn2.org> <vktmi3$1ia1u$1@dont-email.me> <c46775b30460bc564b3fe7bd1b838713829024f8@i2pn2.org> <vkv3t1$1qb93$1@dont-email.me> <2163aa0c0efba66c813e8ebda5ef5ece6d19ea34@i2pn2.org> <vl1901$2b0qi$1@dont-email.me> <4441753d454842cfa2efde51b362ca5d36937a48@i2pn2.org> <vl5toq$39tut$3@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Thu, 2 Jan 2025 13:22:12 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1652566"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: <vl5toq$39tut$3@dont-email.me> Bytes: 2386 Lines: 15 On 1/2/25 6:36 AM, WM wrote: > On 01.01.2025 03:03, Richard Damon wrote: > >> Yes, SOME of the properties of the set come from properties of its >> members, > > What property does not? > > Regards, WM > Like being infinite. The Set of Natural Numbers is itself Infinite, because it has an infinite number of members. Each of the Natural Numbers themselves are all finite, having a finite bounded value.