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

The entirely new number system exists just as the irrational numbers were entirely new, but they exist as well. We invented the irrationals to square the circle. We invented the complex numbers to take the square root of negative numbers. The real numbers are either positive, negative, or zero. Any negative number multiplied by itself is positive, just as any positive number, and 0 squared is 0. No real number can be squared to arrive at a negative number. Thus, we came up with the complex numbers. But people didn't like that, and they called it imaginary. The imaginary numbers are no more imaginary than the irrational numbers are irrational--that is, not at all.
[/quote]

Untrue. Imaginaries don't have a place in real world mechanics, because the real world only deals with real concepts. Imaginaries take a concept that cannot even be done in numbers (without creating a new system), and because of the way that system is constructed, it cannot be achieved.