The original question was: I’ve been relearning some things about imaginary numbers and the concept behind the number got me thinking about something else. Is there a reason that the quantity could not be defined in a similar way to , so that functions could a real component, imaginary component, and an undefined component? Euler (pronounced “Oiler”, as in “one who oils”) wanted to come up with a number system that included a solution to x2+1=0. He called that solution “ “, for “Imaginary number” or possibly “Incredibly awesome number” (I think it’s the latter). Right off the bat there’s a problem:This is because zero is defined as “x-x” for any number or variable x.