Dynamical Systems could be described as the study of global properties of systems which evolve over time, governed either by differential equations or by iterated functions. The motion of the planets, the change of a biological population over time, and the rise and fall of the stock market are all examples of real-world dynamical systems. In this talk, we'll look at a simple dynamical system governed by the function $f(x) = \mu x (1-x)$. The Cantor Set, named after mathematician Georg Cantor, can be described as the set of points from the unit interval that remain after the middle third of the unit interval and the middle thirds of all remaining smaller intervals have been removed. This talk will discuss the surprising connections between Dynamical Systems and Set Theory, and will be accessible to students who have taken Calculus. Please come!