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Path: ...!news.mixmin.net!eternal-september.org!feeder3.eternal-september.org!news.eternal-september.org!.POSTED!not-for-mail From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> Newsgroups: sci.math Subject: Re: More complex numbers than reals? Date: Tue, 9 Jul 2024 12:11:34 -0700 Organization: A noiseless patient Spider Lines: 29 Message-ID: <v6k216$1g6tr$3@dont-email.me> References: <v6ihi1$18sp0$6@dont-email.me> <87msmqrbaq.fsf@bsb.me.uk> <0dUETcjzkRZSIY0ZGKDH2IRJuYQ@jntp> <87v81epj5v.fsf@bsb.me.uk> MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8; format=flowed Content-Transfer-Encoding: 8bit Injection-Date: Tue, 09 Jul 2024 21:11:35 +0200 (CEST) Injection-Info: dont-email.me; posting-host="ce358e0d0d9664a700ff455d87f9b3cd"; logging-data="1579963"; mail-complaints-to="abuse@eternal-september.org"; posting-account="U2FsdGVkX18NDEwH8qHmug5So3ZSMbHjg04fjoFiwfA=" User-Agent: Mozilla Thunderbird Cancel-Lock: sha1:YfNaL2flkaPRmMEC4p5Dm/aYJA8= In-Reply-To: <87v81epj5v.fsf@bsb.me.uk> Content-Language: en-US Bytes: 2116 On 7/9/2024 10:30 AM, Ben Bacarisse wrote: > WM <wolfgang.mueckenheim@tha.de> writes: > >> Le 09/07/2024 à 14:37, Ben Bacarisse a écrit : >> >>> A mathematician, to whom this is a whole new topic, would start by >>> asking you what you mean by "more". Without that, they could not >>> possibly answer you. >> >> Good mathematicians could. >> >>> So, what do you mean by "more" when applied to >>> sets like C and R? >> >> Proper subsets have less elements than their supersets. > > Let's see if Chris is using that definition. I think he's cleverer than > you so he will probably want to be able to say that {1,2,3} has "more" > elements than {4,5}. > I was just thinking that there seems to be "more" reals than natural numbers. Every natural number is a real, but not all reals are natural numbers. So, wrt the complex. Well... Every complex number has a x, or real component. However, not every real has a y, or imaginary component... Fair enough? Or still crap? ;^o