A Venn Diagram of the Real Number System

real number system

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with the views of my employer, nor any other organization, nor institution, of any kind.
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5 Responses to A Venn Diagram of the Real Number System

  1. Joseph Nebus says:

    Reblogged this on nebusresearch and commented:
    I’m aware that it isn’t properly exactly a Venn diagram, now, but the mathematics-artist Robert Austin has a nice picture of the real numbers, and the most popular subsets of the real numbers, and how they relate. The bubbles aren’t to scale — there’s just as many counting numbers (1, 2, 3, 4, et cetera) as there are rational numbers, and there are far more irrational numbers than there are rational numbers — but if you don’t mind that, then, this is at least a nice little illustration.

    Liked by 1 person

    • Regarding the various sets not being to scale, you are absolutely correct. I had to sacrifice any effort to get that for the sake of legibility.

      Thank you for pointing these things out; I wouldn’t want anyone to look at this, and then conclude that rationals outnumber irrationals, or any of the other problems you cite. It’s only intended to show which sets are subsets of which others, and that sort of thing.


  2. teachezwell says:

    This is something I can use with one of my students. Thanks for sharing!

    Liked by 1 person

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