Path: ...!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: Sun, 22 Dec 2024 14:11:51 +0100 Organization: A noiseless patient Spider Lines: 19 Message-ID: References: <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <3c08ed64fa6193dc9ab6733b807a5c99a49810aa@i2pn2.org> <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Sun, 22 Dec 2024 14:11:51 +0100 (CET) Injection-Info: dont-email.me; posting-host="779124b0f9eb435d01e5c1ff507e7f96"; logging-data="673354"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19thxhAZ+8qTZ1aht5vNhtwHNxrW2tR5j4=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:5Db+bAVd6D3KxY1p/N+LuwKpAws= In-Reply-To: Content-Language: en-US Bytes: 2573 On 22.12.2024 13:28, Richard Damon wrote: > On 12/21/24 12:46 PM, WM wrote: >> On 21.12.2024 04:37, Richard Damon wrote: >> >>> His problem is he isn't using the actual set of Natural Numbers, only >>> a FISON of 1 to n, > And you don't use ALL natural numbers, as you logic doesn't allow you to > do the needed infiite operations to use ALL, only ANY, You don't understand that. > > No FISION uses ALL the Natural Numbers, Find a natural number that is not in all intervals [1, n] which I use: ∀n ∈ ℕ [1, n]. Regards, WM