[dotnet00]

I think "real" in the common sense is just too vague to really apply to things as abstract as numbers. 'Real' numbers seem real in a common sense because counting is a universal human experience. Adding in the imaginary plane allows for "counting" systems which have 2 interconnected components like waves, which also turn out to occur very often when you look at nature a bit more closely. Thus why you can derive all of trigonometry from Euler's formula. It just isn't a universal human experience to look at nature that closely yet.