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Path: ...!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Ben Bacarisse <ben@bsb.me.uk> Newsgroups: sci.math Subject: Re: More complex numbers than reals? Date: Sat, 13 Jul 2024 01:12:22 +0100 Organization: A noiseless patient Spider Lines: 23 Message-ID: <87sewejgk9.fsf@bsb.me.uk> References: <v6ihi1$18sp0$6@dont-email.me> <87msmqrbaq.fsf@bsb.me.uk> <0dUETcjzkRZSIY0ZGKDH2IRJuYQ@jntp> <87v81epj5v.fsf@bsb.me.uk> <v6k216$1g6tr$3@dont-email.me> <878qyap1tg.fsf@bsb.me.uk> <v6mu4b$22opo$2@dont-email.me> <871q40olca.fsf@bsb.me.uk> <v6n880$23rgt$2@dont-email.me> <87jzhsn4bn.fsf@bsb.me.uk> <0_MBIwFUmcbVzDRphAhSXT1Jfqk@jntp> MIME-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit Injection-Date: Sat, 13 Jul 2024 02:12:22 +0200 (CEST) Injection-Info: dont-email.me; posting-host="4e5d3404761aff5fd06f2da3e1d5fb25"; logging-data="3413147"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX19VHvt8ui7lhG2fAOk/BOfbCdIsGEGjxlc=" User-Agent: Gnus/5.13 (Gnus v5.13) Cancel-Lock: sha1:ioUmBvaBos+xE5XovAxEIkgOgOc= sha1:5Lk85TNDM6QBWcZFHeHvdiOCgqM= X-BSB-Auth: 1.fb910034463b4243127b.20240713011222BST.87sewejgk9.fsf@bsb.me.uk Bytes: 2153 WM <wolfgang.mueckenheim@tha.de> writes: (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des Unendlichen" at Hochschule Augsburg.) > Le 11/07/2024 à 02:46, Ben Bacarisse a écrit : >> "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes: > >>> {a, b, c} vs { 3, 4, 5 } >>> >>> Both have the same number of elements, >> That will fall down for infinite sets unless, by decree, you state that >> your meaning of "more" makes all infinite sets have the same number of >> elements. > > There are some rules for comparing sets which are not subset and superset, > namely symmetry: Still nothing about defining set membership, equality and difference in WMaths though. You've been dodging that one for years. Without sound definitions of those things WMaths is pretty useless. -- Ben.