[quote=@Etcetera] *Sighs* I never said that we don't use them. I said that they have no real world counterparts. [/quote] You said no such thing. You probably interpreted your statement that way, but I thought your statements referred to usefulness, which they specifically did refer to in your latest post. The closest you said to "no real world counterparts" is they "represent something" and complex numbers do represent things like changes in the state of a system between two times. Also, what do irrationals represent in the real world? As in, like how positive and negative integers represent things.