Motion is possible. Motion is impossible whether space is continuous or discrete. Either space is continuous, or space is discrete. If space is discrete, motion is impossible. Zeno's paradoxes of motion for discrete space. [Not filled in here.] If space is continuous, motion is impossible. A 'faster' object can never catch up with a 'slower' one. IF a 'faster' object cannot catch up with a 'slower' one THEN motion is impossible. Zeno's paradox of relative motion for continuous space. [Not filled in here.] Motion over a finite distance in a finite time is impossible. IF motion over a finite distance in a finite time is impossible THEN motion is impossible. Motion over a finite distance in a finite time requires making an infinite number of partial motions in a finite time. Making an infinite number of partial motions in a finite time is impossible. To make an infinite number of partial motions will take an infinite amount of time. Making a partial motion takes a finite amount of time. It is impossible to take an infinite amount of time in a finite amount of time. A finite distance of continuous space can be divided into an infinite number of parts. Motion over a finite distance is motion over all of the parts of that distance.