The real lowdown is that Empiricism itself is nothing at all without Reason.
There are no "pure observations". There are only observations as understood and analyzed by reason.
Without a conceptual framework (which requires reason/logic etc) there are just a bunch of things happening one after another or simultaneously in 4D space.
Empiricism is not the "ancient enemy" of Reason, but it's complimentary.
That's why from Physics to anthropology, and all kind of hard sciences, use both observations AND math, logic and conceptual frameworks to discover, evaluate and express their findings.