From Oxford Dictionaries
characterized by the belief that the parts of something are intimately interconnected and explicable only by reference to the whole.
Is there an opposite view for not taking the big picture at face value (accepting that 'face value' is not baked into the definition of holistic), but evaluating the individual components to come to your own conclusion of the big picture 'from first principles'?
Rather than accepting the 'big picture' conclusion, she used _________ to come to the same conclusion by looking at the individual factors at play, from first principles.
The best I can think of is Critical Thinking or Inductive (?) Reasoning, but both are techniques and not philosophies.