Path: ...!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: joes Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary) Date: Sat, 14 Dec 2024 11:13:02 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <40dac01626701a6a8101a1b31eae97ffefd398fa@i2pn2.org> References: <0b1bb1a1-40e3-464f-9e3d-a5ac22dfdc6f@tha.de> <95183b4d9c2e32651963bac79965313ad2bfe7e8@i2pn2.org> <33512b63716ac263c16b7d64cd1d77578c8aea9d@i2pn2.org> <62d0f2153c21d03dd687f611484b4a6dc91e00d5@i2pn2.org> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 14 Dec 2024 11:13:02 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="2789670"; mail-complaints-to="usenet@i2pn2.org"; posting-account="nS1KMHaUuWOnF/ukOJzx6Ssd8y16q9UPs1GZ+I3D0CM"; User-Agent: Pan/0.145 (Duplicitous mercenary valetism; d7e168a git.gnome.org/pan2) X-Spam-Checker-Version: SpamAssassin 4.0.0 Bytes: 2409 Lines: 12 Am Thu, 12 Dec 2024 22:57:18 +0100 schrieb WM: > On 12.12.2024 14:59, joes wrote: > >> What Richard meant: do not confuse the set being mapped with the one >> being mapped onto. > I don't. D = {10n | n ∈ ℕ} is the set being mapped. The set D being > mapped does not change when it is attached to the set ℕ being mapped in > form of black hats. You change the domain from D to N. -- Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math: It is not guaranteed that n+1 exists for every n.