[quote=@whizzball1]
<Snipped quote by Etcetera>

It's probably called that just because it's at the intersection of the two number lines.

Then we're disagreeing because we're talking about different definitions of "existence". You're talking about existence when it comes to usefulness in the real world, but I'm talking about existence as "it's actually a thing that we use in mathematics for stuff".

Wait, after a bit of research, it looks like we do use imaginary numbers in the real world.
"There is, for example, a differential equation, with coefficients like the a, b, and c in the quadratic formula, that models how electrical circuits or forced spring/damper systems behave. The movement of the shock absorber of a car as it goes over a bump is an example of the latter. The behavior of the differential equations depends upon whether the roots of a certain quadratic are complex or real. If they are complex, then certain behaviors can be expected. These are often just the solutions that one wants."

And then of course, there are countless physicists who seriously consider and actively look for particles that move faster than light--and according to Einstein's equation for mass relative to the speed of light, the mass of those particles is imaginary.

EDIT: As an interesting note, the real numbers are only called the real numbers because the imaginary numbers are called imaginary.
[/quote]

*Sighs*
I never said that we don't use them. I said that they have no real world counterparts.