In this course we will look at theories of causation, probability, and their interaction. We will look first at Hume on causation, and then move on to some very basic probability theory. We will briefly explore the standard statistical approaches and go on to Bayesian reasoning and confirmation theory. Finally, we'll examine recent developments in the Bayesian Net theory of causation. As a whole, the class is an investigation of recent mathematical and philosophical theories about how science works, what justifies the hypotheses we ought to believe, and how observations could justify hypotheses about unobserved entities and regions.