Finite fields are a finite set of objects you can add, subtract, multiply, and divide. We can use them for error detection and cryptography. — Given that I named this series “How to Discover Finite Fields While Bored in Class,” it’s time to talk about finite fields. In the previous article, we introduced the rationals, constructible, algebraic, real, and complex fields. These fields are all infinite, but our game only has five colors. We need…