Path: ...!eternal-september.org!feeder2.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: FromTheRafters Newsgroups: sci.math Subject: Re: 2N=E Date: Mon, 04 Nov 2024 13:07:57 -0500 Organization: Peripheral Visions Lines: 27 Message-ID: References: <8b31df46-1361-4dd1-aed3-1f42039af960@att.net> <84c1bb5d-67db-4d21-918a-f86cd1f815c5@att.net> Reply-To: erratic.howard@gmail.com MIME-Version: 1.0 Content-Type: text/plain; charset="iso-8859-15"; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Mon, 04 Nov 2024 19:08:03 +0100 (CET) Injection-Info: dont-email.me; posting-host="25012beb60c213514f8614ecd0876d5d"; logging-data="1130064"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1+WjtG/XtiCL3ncuGJd5Hfq4J3loGqGIHM=" Cancel-Lock: sha1:DZpaIwB1wxrJ3E56geAFrQhAcCg= X-ICQ: 1701145376 X-Newsreader: MesNews/1.08.06.00-gb Bytes: 2626 Moebius used his keyboard to write : > Am 04.11.2024 um 17:50 schrieb Moebius: >> Am 04.11.2024 um 12:33 schrieb Chris M. Thomasson: >> >>> Infinite ways to represent 1: >>> >>> 1 = 4 - 2 - 1 >>> 1 = 3*2 - 5 >>> 1 = 1 + 1 - 1 >>> 1 = ... >>> >>> ? >> >> Right. {4 - 2 - 1, 3*2 - 5, 2 - 1, 3 - 2, 4 - 3, ...} = {1} (though >> FromTheAfter is too dumb to get that). > > This idiot is convinced that "in any case" |{x, y, z}| = 3. > Actually, > > |{x, y, z}| = 3 iff x =/= y and x =/= z and y =/= z. If they are equal, it is a multiset with one element with a multiplicity of three, and thus cardinality of three. https://www.google.com/search?client=firefox-b-1-e&q=multiset You are too dumb to get that.