Path: ...!eternal-september.org!feeder3.eternal-september.org!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary, effectively) Date: Thu, 2 Jan 2025 14:47:46 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <1e8ebc58a12fd659e38d0b9f0ff6fc0194f933be@i2pn2.org> References: <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <3d2fe306aa299bc78e94c14dadd21645d8db9829@i2pn2.org> <2163aa0c0efba66c813e8ebda5ef5ece6d19ea34@i2pn2.org> <4d797c9134ea480aa4976cf866cacaede8d309bd@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 2 Jan 2025 19:47:46 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="1700256"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird X-Spam-Checker-Version: SpamAssassin 4.0.0 Content-Language: en-US In-Reply-To: Bytes: 2697 Lines: 22 On 1/2/25 12:33 PM, WM wrote: > On 02.01.2025 14:40, FromTheRafters wrote: >> WM has brought this to us : >>> On 01.01.2025 14:51, joes wrote: >>>> Am Tue, 31 Dec 2024 19:05:24 +0100 schrieb WM: >>> >>>>> I don't stop but know that every FISON is finite as its name says and >>>>> covers at most 1 % of ℕ. >>>> Yes, you stop at some finite threshold. >>> >>> Go farther. Find a FISON that is not below 1 %. >> >> One percent of infinitely many is nonsense. > > It is only for people without extraordinaly mathematical skills. But it > is not false. In fact all FISONs are limited to less than > 1/10^10^10^10^10^10 of ℵ₀. > > Regards, WM > Which is still infinite, and your logic can't deal with it, as that value is still ℵ₀