Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!i2pn.org!i2pn2.org!.POSTED!not-for-mail From: Richard Damon Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Mon, 23 Dec 2024 09:32:54 -0500 Organization: i2pn2 (i2pn.org) Message-ID: <733ce219e9d2422859035e5094a7b3e92eea9c47@i2pn2.org> References: <069069bf23698c157ddfd9b62b9b2f632b484c40@i2pn2.org> <2d3620a6e2a8a57d9db7a33c9d476fe03cac455b@i2pn2.org> <3c08ed64fa6193dc9ab6733b807a5c99a49810aa@i2pn2.org> <357a8740434fb6f1b847130ac3afbd33c850fc37@i2pn2.org> <787067e5de3c455cb57389315b6821e96bcf86af@i2pn2.org> <1b6f89e7c35e4c9674af5a480e4bab6cb72e0915@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 23 Dec 2024 14:32:54 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="83888"; mail-complaints-to="usenet@i2pn2.org"; posting-account="diqKR1lalukngNWEqoq9/uFtbkm5U+w3w6FQ0yesrXg"; User-Agent: Mozilla Thunderbird Content-Language: en-US X-Spam-Checker-Version: SpamAssassin 4.0.0 In-Reply-To: Bytes: 2576 Lines: 21 On 12/23/24 4:31 AM, WM wrote: > On 23.12.2024 02:01, Richard Damon wrote: >> On 12/22/24 5:11 PM, WM wrote: >>> On 22.12.2024 20:10, Richard Damon wrote: >>>> On 12/22/24 8:11 AM, WM wrote: >>> >>>>> Find a natural number that is not in all intervals [1, n] which I use: >>>>> ∀n ∈ ℕ [1, n]. >>>> >>>> But you can't use *ALL* intervals, becaue you need to use them >>>> individually >>> >>> No, I do as Cantor did. > >> No, you do what you THINK Cantor did, > > Show an n that I do not use with all intervals [1, n]. > > Regards, WM > The LAST one, which you say must exist to use your logic.