Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Fri, 3 Jan 2025 13:38:54 -0800 Organization: A noiseless patient Spider Lines: 13 Message-ID: References: <98519289-0542-40ce-886e-b50b401ef8cf@att.net> <8e95dfce-05e7-4d31-b8f0-43bede36dc9b@att.net> <53d93728-3442-4198-be92-5c9abe8a0a72@att.net> <9c18a839-9ab4-4778-84f2-481c77444254@att.net> <8ef20494f573dc131234363177017bf9d6b647ee@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 7bit Injection-Date: Fri, 03 Jan 2025 22:38:56 +0100 (CET) Injection-Info: dont-email.me; posting-host="e94d1704a333ab297c4ae0db56ab3864"; logging-data="105766"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19qNzI3F6J8zjY8IdfiHykvnOolFcNq67w=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:2YTiv/L6GMK2L7r1IPdpy4lQ/hM= Content-Language: en-US In-Reply-To: Bytes: 2511 On 1/3/2025 9:09 AM, WM wrote: > On 03.01.2025 13:35, joes wrote: >> Am Fri, 03 Jan 2025 09:39:01 +0100 schrieb WM: > >>> Infinitely many can be removed without remainder. But only finitely many >>> can be defined by FISONs. >> It is very obvious there are infinitely many FISONs. >> > Obvious but only potentially infinite. There are infinitely many FISONs. What in the heck do you mean by using the word, "potentially"? It's as if you don't think infinity exists?