There's another kind of anti-reductionist: one who says that there is *something* (e.g., a field, a resonance, etc.) which influences the whole of an object and cannot be studied by reducing a complex object to easier-to-understand constituents. This is different from "science robs the rainbow of its beauty" reductionism -- as near as I can understand, the contention is that a better scientific understanding can be obtained by considering the object as a whole. I'm still not sure if this anti-reductionist position is a claim about the map or a claim about the territory.