ESP Biography

In this class we will give a rigorous formulation of the quantum mechanics needed to derive Bell Inequalities, which say that, if certain experimental results hold, then the universe must be either nonlocal (there can be instantaneous action at a distance) or violate realism (physical quantities do not exist until they are measured). Spoiler alert: the experimental results do hold, meaning our universe really is wacky!

In the early 20th century, logician Kurt Godel proved the existence of shocking and profound limits on the ability of any formal system of reasoning (i.e. mathematics!) to establish truth. This class will explain the results of Godel's incompleteness theorems and illustrate the main ideas behind their proof. It will also involve discussion of the implications of the theorems to the philosophy of mathematics, computer science, and human/artificial intelligence.

When deciding between two options, it's easy to use majority rule to come to a consensus. Things get tricky, however, when there are more alternatives. We'll take a look at different systematic ways to conduct votes and analyze their benefits and drawbacks. In fact, we'll prove that there exist inherent limitations on any such system - that, in some sense, it's impossible to have a "perfect" voting system. And, of course, we'll include some discussion of the 2016 election!