  Weyl famously argued that if space were discrete, then Euclidean geometry
could not hold even approximately. Since then, many philosophers have responded
to this argument by advancing alternative accounts of discrete geometry that
recover approximately Euclidean space. However, they have missed an importantly
flawed assumption in Weyl's argument: physical geometry is determined by
fundamental spacetime structures independently from dynamical laws. In this
paper, I aim to show its falsity through two rigorous examples: random walks in
statistical physics and quantum mechanics.
