In his book Philosophy of Mathematics and Natural Science, the renowned mathematical physicist Hermann Weyl raised the following question: Is it kinematically feasible that a machine carry out an infinite sequence of distinct operations in a finite time? And he gave a conditional answer to it as follows: If a machine obeying the principles of classical kinematics cannot carry out a denumerable infinity of operations in a finite time, then the received interpretation of the classical mathematical theory of motion is beset by one of Zeno's kinematical paradoxes.