The heart of this course will be a close reading of key sections of Newton's Principia Mathematica Philosophiae Naturalis (first published 1687; 3rd edition 1726). Newton's Principia has been aptly described as "the most unread famous book in the Western world." It's publication in 1687 marks that seminal moment in the history of Western thought when the work of the greatest scientists became too difficult for the greatest philosophers to understand on their own. (John Locke, for one, had to be reassured by his friend Huygens that the Principia's reasoning was sound.) From here on, the gulf between the "two cultures" began to widen dramatically. In this course we shall attempt to bridge that gulf by combining a rigorous study of the text of the Principia with full discussion of its philosophical implications.