Re: More complex numbers than reals?

From	"Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups	comp.lang.c
Subject	Re: More complex numbers than reals?
Date	2024-07-10 15:42 -0700
Organization	A noiseless patient Spider
Message-ID	<v6n2o7$22opo$12@dont-email.me> (permalink)
References	<v6hohq$11nib$1@dont-email.me> <20240708192054.569@kylheku.com>

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On 7/8/2024 7:25 PM, Kaz Kylheku wrote:
> On 2024-07-08, Chris M. Thomasson <chris.m.thomasson.1@gmail.com> wrote:
>> 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?
> 
> The argument is not that simple. If we restrict to just integer complex
> numbers like 4 + 5i, then no; there aren't more of these than integers.
> Yet the same argument about axes and embeddings could be wrongly applied.
> 
> Integer complex numbers are countable: you can start at 0, and then go
> in a spiral fashion:  1, 1 + i, i, -1 + i -1, ...  thus they can be put
> into correspondendce with the natural numbers.
> 

OOPS! I meant this link:

https://groups.google.com/g/comp.lang.c++/c/bB1wA4wvoFc/m/ozDpUBlTAAAJ

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More complex numbers than reals? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-08 15:17 -0700
  Re: More complex numbers than reals? Ben Bacarisse <ben@bsb.me.uk> - 2024-07-08 23:59 +0100
    Re: More complex numbers than reals? James Kuyper <jameskuyper@alumni.caltech.edu> - 2024-07-08 19:32 -0400
      Re: More complex numbers than reals? Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-07-08 18:56 -0700
    Re: More complex numbers than reals? Kaz Kylheku <643-408-1753@kylheku.com> - 2024-07-09 02:19 +0000
      Re: More complex numbers than reals? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-08 23:37 -0700
      Re: More complex numbers than reals? Ben Bacarisse <ben@bsb.me.uk> - 2024-07-09 10:04 +0100
        Re: More complex numbers than reals? Richard Harnden <richard.nospam@gmail.invalid> - 2024-07-09 11:27 +0100
          Re: More complex numbers than reals? Ben Bacarisse <ben@bsb.me.uk> - 2024-07-09 13:20 +0100
        Re: More complex numbers than reals? James Kuyper <jameskuyper@alumni.caltech.edu> - 2024-07-09 11:49 -0400
    Re: More complex numbers than reals? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-08 22:11 -0700
      Re: More complex numbers than reals? Kaz Kylheku <643-408-1753@kylheku.com> - 2024-07-09 08:47 +0000
        Re: More complex numbers than reals? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-09 12:00 -0700
          Re: More complex numbers than reals? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-07-10 00:53 +0000
            Re: More complex numbers than reals? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-10 15:39 -0700
            Re: More complex numbers than reals? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-12 11:52 -0700
  Re: More complex numbers than reals? Richard Damon <richard@damon-family.org> - 2024-07-08 19:34 -0400
  Re: More complex numbers than reals? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-07-08 23:45 +0000
  Re: More complex numbers than reals? Kaz Kylheku <643-408-1753@kylheku.com> - 2024-07-09 02:25 +0000
    Re: More complex numbers than reals? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-08 22:20 -0700
    Re: More complex numbers than reals? "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2024-07-10 15:42 -0700
      Re: More complex numbers than reals? Lawrence D'Oliveiro <ldo@nz.invalid> - 2024-07-11 01:59 +0000
  Re: More complex numbers than reals? Blue-Maned_Hawk <bluemanedhawk@invalid.invalid> - 2024-07-09 08:33 +0000

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