Path: ...!weretis.net!feeder9.news.weretis.net!news.quux.org!eternal-september.org!feeder3.eternal-september.org!news.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: Thu, 26 Dec 2024 12:34:56 +0100 Organization: A noiseless patient Spider Lines: 15 Message-ID: References: <8d69d6cd-76bc-4dc1-894e-709d044e68a1@att.net> <7356267c-491b-45c2-b86a-d40c45dfa40c@att.net> <4bf8a77e-4b2a-471f-9075-0b063098153f@att.net> <31180d7e-1c2b-4e2b-b8d6-e3e62f05da43@att.net> <0393b227-fa2e-4649-a363-e53ab6e73327@att.net> <1e19b1be-00eb-4f2a-ba97-e66aa395b56b@att.net> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Thu, 26 Dec 2024 12:34:57 +0100 (CET) Injection-Info: dont-email.me; posting-host="26a2c5c5f7b2556246a56be7e13f3cc0"; logging-data="3103638"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18jVM7GAU5KiPMx0QQEjsM7nTU6ZMXnSYE=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:bSD3Xanzf9Sk4AGXzD+P6jDFkZI= In-Reply-To: Content-Language: en-US Bytes: 2502 On 24.12.2024 15:03, Richard Damon wrote: > On 12/24/24 5:53 AM, WM wrote: >> Of course not. There is a bijection {n} <--> E(n). No cardinal number >> ℵ₀ is involved. >> > Except that both sets, this size of the Natural Numbers and the size of > the set of E(n), are Aleph_0. They are in bijection. Cantor uses all n, I use all E(n) and therefore all n too. You claimed that I did not. You were wrong. Regards, WM