Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.logic Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Sun, 22 Dec 2024 16:04:22 +0100 Organization: A noiseless patient Spider Lines: 25 Message-ID: References: <539edbdf516d69a3f1207687b802be7a86bd3b48@i2pn2.org> <9c5b577e71162d62b2fbc7dc7a2f150ccd64be96@i2pn2.org> <0618fe27d0087902842065e621897ad28a32fa29@i2pn2.org> <6d10e2559787f4dec18c0004b1b13ce41a04fbdf@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 22 Dec 2024 16:04:24 +0100 (CET) Injection-Info: dont-email.me; posting-host="779124b0f9eb435d01e5c1ff507e7f96"; logging-data="717219"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+xkOX66wsi/xKjVdpoTt8U7F4E5TYK+rY=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:MTm2IWu4Vo0RQe3KENWg1fF0rMA= In-Reply-To: <6d10e2559787f4dec18c0004b1b13ce41a04fbdf@i2pn2.org> Content-Language: en-US Bytes: 2770 On 22.12.2024 13:28, Richard Damon wrote: > On 12/21/24 4:40 PM, WM wrote: >> The reason is that after every visible unit fraction there are more >> visible unit fractions created. That is potential infinity. You can't >> understand that matter. > > No, they are not "created" they have always been there, they just > haven't been enumerated/discovered yet. Why haven't they? >>> The numbers didn't just show up, they were always there and we didn't >>> do anything that prohibited it from stopping at any of them. >> >> They were dark. > > No, you just didn't see them because your logic closes its eyes and lies > to you. Then show me a unit fraction that you see for the first time when going from 0 to 1 which has no smaller unit fractions that you hadn't discovered before. Regards, WM