In math, there are many 12 year olds with phds.
Yet in physics, chemistry, engineering or anything rigorous there are hardly any prodigies.
Why do all the prodigies just happen to go into math?
What if imaginary numbers were outlawed, in the same way divide by zero is handled?
The first consequence I see is that functions which use this, ala the zeta function would be impossible. So basically all of number theory would dissapear.
Likewise wide areas of other mathematics would dissapear....
[ SmokeDetector | MS ] Few unique characters in answer, no whitespace in answer, potentially bad keyword in answer, repeating characters in answer (264): Infinity plus Infinity by lol on math.SE