  == irrational number ==  If the definition I put up is incorrect, why is it in the introduction? I didn't write anything new up there, I just rearranged it. As it stands, the page real number says that a real number is the irrationals + the rationals. But the page irrational number says that an irrational number is the reals - the rationals. So now the intro contains a circular definition, and an incorrect one. So... we should do something about that.  