Defining quantum field theories on a discrete spacetime, i.e. on a lattice, offers multiple benefits, some formal and some practical. For example, the lattice provides particle and nuclear physicists a tool for doing “first principle” explorations of the low-energy spectrum of QCD. On the formal side, since the lattice spacing acts as a UV cutoff, the lattice presents a non-perturbative definition of a quantum field theory. However, working with a discrete spacetime, and finite volume, offers its own unique challenges. In this talk, I will focus mainly on the complicated nature of chirality in a discretized spacetime, leading towards the question of how to define a lattice-regulated chiral gauge theory.