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Path: ...!weretis.net!feeder8.news.weretis.net!reader5.news.weretis.net!news.solani.org!.POSTED!not-for-mail From: Mild Shock <janburse@fastmail.fm> Newsgroups: sci.logic Subject: Re: I am allergic to Cantors Dust Date: Mon, 29 Jul 2024 18:58:54 +0200 Message-ID: <v88ho9$h5q6$3@solani.org> References: <v88hk3$h5q6$1@solani.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 29 Jul 2024 16:58:50 -0000 (UTC) Injection-Info: solani.org; logging-data="563014"; mail-complaints-to="abuse@news.solani.org" User-Agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:91.0) Gecko/20100101 Firefox/91.0 SeaMonkey/2.53.18.2 Cancel-Lock: sha1:u3ZhL/b4Y8ArmP1yfFM9O/Avjuc= In-Reply-To: <v88hk3$h5q6$1@solani.org> X-User-ID: eJwFwYEBwDAEBMCVSDxvHKH2H6F3uK7eYQ43LLb4nu2GmpQ8q9EESdRpzneZDCn2AnYyfUZPq6UtLxohP1NkFOk= Bytes: 1616 Lines: 22 I am currently streching my leg through one infinite pant, and trying to put a shoe on my foot. I have to be careful, I have my leg in plaster since I fell down Devil’s staircase . So the Cantor dust is not empty, and in fact contains an uncountably infinite number of points as follows from the above description in terms of paths in an infinite binary tree. But then the Cantor dust is also Riemann integrable, and has value zero. Mild Shock schrieb: > > I am currently trying to measure Cantors dust, > since I am allergic to dust. > > What helps me is this visualization: > https://twitter.com/memecrashes/status/1806591692251816302