Where do you put a telescope? How do you understand Covid concentrations?

This note discusses dynamical systems-systems that evolve through time. We start with two contemporary examples illustrating the qualitative and the quantitative behavior of dynamical systems. These are two broad categories, usually called the study of the smooth behavior and ergodic theory. We then introduce the technical framework necessary to state the problems mathematically. Finally we show that the problems are unsolvable in a rigorous sense.