I think they're compatible in that the inaccurate phrasing of the original statement doesn't reflect the valid idea behind it. Yobi is right: it's not a clean split into black and white, though the original statement reads like it is. I think it would've been better phrased as, "There are rational sides to humans. There are also irrational sides to humans." The current phrasing suggests the simultaneous presence of two binary states, which would be a contradiction.