This course is an introduction to epistemology: the theory of knowledge. We will focus on skepticism—that is, the thesis that we know nothing at all—and we will survey a range of skeptical arguments and responses to skepticism.

This course covers topics such as sums of independent random variables, central limit phenomena, infinitely divisible laws, Levy processes, Brownian motion, conditioning, and martingales.

This applet allows the user to adjust the alpha (rate) and the beta (scale) parameters of the Gamma distribution with a slider or manual input. The user can also indicate a model (density, hazard, or reliability).