A runner wants to run a certain distance - let us say 100 meters - in a finite time. But to reach the 100-meter mark, the runner must first reach the 50-meter mark, and to reach that, the runner must first run 25 meters. But to do that, he or she must first run 12.5 meters. Since space is infinitely divisible, we can repeat these 'requirements' forever. Thus the runner has to reach an infinite number of 'midpoints' in a finite time. This is impossible, so the runner can never reach his goal. In general, anyone who wants to move from one point to another must meet these requirements, and so motion is impossible, and what we perceive as motion is merely an illusion. Where does the argument break down? Why?
You are calculating it over an established distance so the amount of 'checkpoints' you create is finite as they will at some point be touching.
there is an infinite number of check points with the furthest being 50m. the smallest checkpoint would be infinitely small to the extent of being unmeasurable as if you measure a distance each distance no matter how small still can be halved.
'Thus the runner has to reach an infinite number of 'midpoints' in a finite time. This is impossible' Why?