Do Imaginary Numbers Exist?

Freshman Brennan Robinson has decided to use his most recent blog post to prove that imaginary numbers exist. Please visit and leave your comments, especially those of you who get hot and bothered by stuff like this:

So, in relation, the multiplication of a complex number by i­­­­­­­­­­² results in a 180 degree rotation about the origin. Why? Because i­­­­­­­­­­²=-1, and when you multiply anything by -1 you get the opposite. So if you have 5, and you multiple it by -1, you get -5, which is a 180 degree rotation from 5. In the same way, the multiplication of a complex number by i⁴ results in a 360 degree rotation about the origin, because i⁴=1, and anything multiplied by 1 is itself. Since we’ve deduced this much, we can also say that i corresponds a 90 degree positive rotation (or counter-clockwise) and i³ corresponds a 270 positive rotation. If you still understand what I’m talking about, then this last part should be simple to understand. [! -- ed.]

Oh, and while we're on the subject, check out John Carr's post on "nerd humor" cartoons.