Zeno’s arrow paradox appears to show that motion is impossible.
It works by taking a snapshot of the arrow at a point (in either space or time) in its flight. At that point, and at every other, the arrow is motionless. If there is no point, spatially or temporally, at which the arrow is moving, though, then the arrow is not moving. Motion, then, is impossible.
Let’s put it this way:
Consider an arrow at any point in its flight; it is motionless. Motion occurs through space, not at one point in space, and so at each point the arrow is still.
The same is true of the arrow considered at any moment in its flight. Motion takes time, it doesn’t occur at a specific point in time, and so at each moment the arrow is still.
If at every point, and at every moment, the arrow is still, though, then how is it possible for it to move from the bow to its target? It isn’t; motion is impossible.

