Path: ...!news.nobody.at!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: WM Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Fri, 10 Jan 2025 10:52:46 +0100 Organization: A noiseless patient Spider Lines: 15 Message-ID: References: <8ef20494f573dc131234363177017bf9d6b647ee@i2pn2.org> <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> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 10 Jan 2025 10:52:46 +0100 (CET) Injection-Info: dont-email.me; posting-host="6b007e778b24b2187a02b65e2becd479"; logging-data="4127422"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/g6igKG/3nNX5ctqjWcmffENxjwXQM9bw=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Ek5ukik0VfRAl220WBACGw2NRCA= Content-Language: en-US In-Reply-To: Bytes: 2492 On 10.01.2025 02:25, Moebius wrote: > >>>>>>> WM wrote : > >>>>>> Are the natural numbers fixed or do they evolve? > In the context of classical mathematik, they don't "evolve". > > Hint: The set of all natural numbers, IN, does not change. So all natural numbers are fixed. Then for every point on the ordinal line it is determined whether there is a natural number. Although we cannot determine it because most are dark. Regards, WM