Fran Meana (Spain)
Z: Let´s say I shoot this arrow.
Z: Well let´s rather think I am this arrow…
Z: So if we were to think my path we would agree it is a linear trajectory.
H: Well, I suppose if we were to think of you as an arrow, we might as well consider your trajectory.
(Z sets to drawing in a piece of paper)
Z: As any other line does, this trajectory will made up of a sequence of points and positions. A sequence of positions that in the commonsense way I, the arrow, occupy one after the other.
Z: The problem is that between one point on a line and the next, there is an infinity of points.
Z: Of course is in the nature of infinity that you can never get to the end of it. So if I occupy any point along my path I will never reach the next, unless I occupy each of the infinity of points in between.
Z: No? You see! (Z points at the drawing) My path implodes and the trajectory becomes an infinity of points. I am stuck.
H: You are stuck in thought!
Z: Aaaargghhh! No. I get swallowed up in the transitional infinity.
H: Or if you moved it is because it was never any point. A path is not composed of points. It´s a dynamic unity. It doesn´t stop till it stops! Then, and only then, your trajectory can be plotted. Retrospectively. Once you Mr. Arrow´d hit the target. Then, working backward from the movement´s end.
H: Before that you just throw yourself into the future.