Grounding Drawing in Philosophy Part 3

Building upon what we discussed yesterday, one of the greatest challenges of applying the rationalist aesthetic to drawing is that it does not allow for expressive/creative art.  A good example would be to try to apply rationalism to a Jackson Pollock painting.  How could you apply the logic and mathematics to the following?:

One of the greatest challenges to the academic method we discussed came in the theory of knowledge called Empiricism.  Put simply, Empiricism stresses that knowledge comes from sensory experience.  We created the following mind map of Empiricism applied to art, using concepts from the teachings of John Ruskin, Betty Edwards, and Seymour Simmons, III: