Weyl's tile argument

In philosophy, the Weyl's tile argument (named after Hermann Weyl) is an argument against the idea of a physical discrete space (where all the distances are multiples of some constant minimum value), by questioning its concept of distance. It says that it is impossible to define a distance function satisfying Pythagoras' theorem (or even, satisfying it only approximately) on a discrete space, and that since it has been verified that the theorem is at least approximately true in nature, physical space can not be discrete. Solutions to Weyl's argument (i.e. arguing that a discrete physical space is not impossible) have already been proposed in the literature.