Path: ...!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, effectively) Date: Sun, 29 Dec 2024 18:48:58 +0100 Organization: A noiseless patient Spider Lines: 12 Message-ID: References: <7356267c-491b-45c2-b86a-d40c45dfa40c@att.net> <4bf8a77e-4b2a-471f-9075-0b063098153f@att.net> <31180d7e-1c2b-4e2b-b8d6-e3e62f05da43@att.net> <45a632ed-26cc-4730-a8dd-1e504d6df549@att.net> <07300792-83e7-40a1-8e72-2e96a3ec2da6@att.net> <3a080773f32986a5f4a2659d87bf19fd1f062c8d@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Sun, 29 Dec 2024 18:48:58 +0100 (CET) Injection-Info: dont-email.me; posting-host="2bdd8289678d0293abd2ca3e7b98ed0b"; logging-data="1168337"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19zzZCSVg5rTpREnxTz8lEAWL5obeJRYx4=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:Ujq42w+VhgefhMBaJLgVqHgCNag= Content-Language: en-US In-Reply-To: <3a080773f32986a5f4a2659d87bf19fd1f062c8d@i2pn2.org> Bytes: 2435 On 29.12.2024 13:31, Richard Damon wrote: > NBo, you "Naive" (which you call straight) mathematics just can't handle > this sort of math, My theorem: Every union of FISONs which stay below a certain threshold stays below that threshold. Find a counterexample. Don't claim it but prove it. Fail. Contradicting this theorem without reason is outside of mathematics. Regards, WM