Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: Moebius Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Sat, 11 Jan 2025 04:51:01 +0100 Organization: A noiseless patient Spider Lines: 26 Message-ID: References: <66868399-5c4b-4816-9a0c-369aaa824553@att.net> <412770ca-7386-403f-b7c2-61f671d8a667@att.net> <59af1502-0bc9-4266-b556-6164edb6a8d4@att.net> <9a22a29bfd5af29db5bad5f3cae537665b8dafd7@i2pn2.org> <81834850e9e4fdedeb38ddc1da4df4a1ebe34e07@i2pn2.org> Reply-To: invalid@example.invalid MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sat, 11 Jan 2025 04:51:01 +0100 (CET) Injection-Info: dont-email.me; posting-host="afb9fcf797f54f3138f574402a8e81c0"; logging-data="498484"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+O3wNUM7Ea834bdja/iNsT" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Senb0cZo+H7dMcdj1V4yI1hstA4= In-Reply-To: Content-Language: de-DE Bytes: 2688 Am 10.01.2025 um 23:18 schrieb Chris M. Thomasson: > On 1/10/2025 1:52 AM, WM wrote: >>> Hint: The set of all natural numbers, IN, does not change. [moebius] >> >> So all natural numbers are fixed. Was immer das auch bedeuten soll. Well, yeah, the don't dance or wander around. >> Then for every [ordinal number] it is determined whether [it] is a natural number [or not]. Indeed! >> Although we cannot determine it because Well, there's a difference between mathematical facts and what we KNOW about these facts (or even if they a r e facts). There are many mathematical facts we cannot "determine" (at least not yet). .. .. ..