Feelings and data. Information and inuition. Qualitative and quantitative. New and old. Left brain, right brain. Destruction and creation. Rules and improvisation or innovation. Numbers and art.
In my mind's eyes these things are complementary, not mutually exclusive or divided. They can do things together that neither could do fully or partially alone. The most important thing is to know what you are looking at and why. Then you know how best to apply any of the tools at your disposal.