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Path: ...!news.misty.com!weretis.net!feeder9.news.weretis.net!news.nk.ca!rocksolid2!i2pn2.org!.POSTED!not-for-mail From: joes <noreply@example.org> Newsgroups: sci.math Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers Date: Tue, 19 Nov 2024 12:11:02 -0000 (UTC) Organization: i2pn2 (i2pn.org) Message-ID: <d6a5e73be248fa79106fb0b78bcff951b4646fa4@i2pn2.org> References: <vg7cp8$9jka$1@dont-email.me> <97304048-24f5-4625-82a7-d17427f2f6e3@att.net> <vh0hta$1pmql$1@dont-email.me> <65febd06-662b-4fa4-9aa8-f7353a79a110@att.net> <vh2k9p$29cql$1@dont-email.me> <157a949d-6c19-4693-8cee-9e067268ae45@att.net> <vh35nd$2d81g$1@dont-email.me> <cb0c9917-09a9-45f0-8fe9-cd059fa82dde@att.net> <vh4itg$2o3vu$1@dont-email.me> <8165b44b-1ba5-429d-8317-0b043b214b53@att.net> <vh76bi$3bnde$1@dont-email.me> <d90452a5-965b-443f-9146-96cdf9b3906c@att.net> <vh8ft0$3jqb5$3@dont-email.me> <vh8g5e$3juug$1@dont-email.me> <vh8otd$3lhlt$2@dont-email.me> <vhb1is$6hbv$2@dont-email.me> <vhb1mu$6hbv$4@dont-email.me> <vhb32t$7ese$1@dont-email.me> <vhch7n$hge9$2@dont-email.me> <vhcieh$jjk5$1@dont-email.me> <vhcjg5$hdd4$3@dont-email.me> <vhckkh$k32g$1@dont-email.me> <vhcp0r$hge9$6@dont-email.me> <vhd7d7$nt37$1@dont-email.me> <vhd9lq$obb0$1@dont-email.me> <vhdl0k$qltl$1@dont-email.me> <vhfqcv$1adld$1@dont-email.me> <vhfso7$1bik6$1@dont-email.me> <vhg0h8$1adlc$4@dont-email.me> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Injection-Date: Tue, 19 Nov 2024 12:11:02 -0000 (UTC) Injection-Info: i2pn2.org; logging-data="3184812"; 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: 2572 Lines: 17 Am Mon, 18 Nov 2024 19:20:24 +0100 schrieb WM: > On 18.11.2024 18:15, FromTheRafters wrote: >> WM brought next idea : > >>>> |ℕ| - |ℕ| = 0 because if you subtract one element from ℕ then you >>>> have no longer ℕ and therefore no longer |ℕ| describing it. > If you remove one element from ℕ, then you have still ℵo but no longer > all elements of ℕ. Yes, you have a subset of the same cardinality. > If |ℕ| describes the number of elements, then it has > changed to |ℕ| - 1. |N| - 1 = Aleph_0 - 1 = Aleph_0 -- 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.