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: Tue, 09 Jul 2024 13:37:33 +0100
Organization: A noiseless patient Spider
Lines: 21
Message-ID: <87msmqrbaq.fsf@bsb.me.uk>
References: <v6ihi1$18sp0$6@dont-email.me>
MIME-Version: 1.0
Content-Type: text/plain
Injection-Date: Tue, 09 Jul 2024 14:37:33 +0200 (CEST)
Injection-Info: dont-email.me; posting-host="3bc602097df9bef4fe534cf857153f79";
	logging-data="1463255"; mail-complaints-to="abuse@eternal-september.org";	posting-account="U2FsdGVkX1+Qe2yucDLi6NzV//2ft/07cgbqNewzrZA="
User-Agent: Gnus/5.13 (Gnus v5.13)
Cancel-Lock: sha1:RbqiVt5WR2zPsyp/C38aP7io0g0=
	sha1:WSrLONI2t0kymCNAY8MFho1Uj1c=
X-BSB-Auth: 1.99917d06f26e85e4b91c.20240709133733BST.87msmqrbaq.fsf@bsb.me.uk
Bytes: 1899

"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> writes:

> Are there "more" complex numbers than reals? It seems so, every real has
> its y, or imaginary, component set to zero. Therefore for each real there
> is an infinity of infinite embedding's for it wrt any real with a non-zero
> y axis? Fair enough, or really dumb? A little stupid? What do you think?

You quite correctly put "more" in scare quote because it's not clear, at
first glance, what it means in cases like this.

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.  So, what do you mean by "more" when applied to
sets like C and R?

(Obviously, some mathematicians have already come up with a meaning that
is of use to them, but I want to see if you are interesting in thinking
mathematically or whether you just want "the answer".)

-- 
Ben.