Path: ...!weretis.net!feeder8.news.weretis.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: Ben Bacarisse Newsgroups: sci.math Subject: Re: More complex numbers than reals? Date: Thu, 11 Jul 2024 00:47:28 +0100 Organization: A noiseless patient Spider Lines: 14 Message-ID: <877cdsolm7.fsf@bsb.me.uk> References: <87msmqrbaq.fsf@bsb.me.uk> <0dUETcjzkRZSIY0ZGKDH2IRJuYQ@jntp> <87v81epj5v.fsf@bsb.me.uk> <878qyap1tg.fsf@bsb.me.uk> MIME-Version: 1.0 Content-Type: text/plain; charset=iso-8859-1 Content-Transfer-Encoding: 8bit Injection-Date: Thu, 11 Jul 2024 01:47:28 +0200 (CEST) Injection-Info: dont-email.me; posting-host="8f0c59e317bc680ad3ae1d9bc8fc08f2"; logging-data="2212801"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX1/gR06KBgVdzFwkf0ajDFDV8MY+cqI+2c4=" User-Agent: Gnus/5.13 (Gnus v5.13) Cancel-Lock: sha1:3+9kyPfUc3NtsZwNud2QFYasHJw= sha1:7YuD31a0Wgbo4QVg/FWp03RaUJ0= X-BSB-Auth: 1.d1032212be88110bfcdb.20240711004728BST.877cdsolm7.fsf@bsb.me.uk Bytes: 1721 WM writes: (AKA Dr. Wolfgang Mückenheim or Mueckenheim who teaches "Geschichte des Unendlichen" at Hochschule Augsburg.) > No rule is better than a foolish rule, if it yields nonsense like Cantor's > "bijections". Is that why you still can't define set membership, difference and equality in WMaths such that you could prove one of the most surprising results of WMaths: that sets E and P exist such that E in P and P \ {E} = P? -- Ben.