Zeno of Elea fashioned arguments to show that change motion is impossible

In the 5th century B.C.E., Zeno of Elea fashioned arguments to show that change (motion) is impossible. the Dichotomy Paradox (below) is one of them.

In this paradox, Zeno claims that no object can move from point A to point B, for that would entail having to first reach the halfway point C. But even before getting to C, the object must first reach the point D, halfway between A and C. Indeed Prior to this, the point E half way between A and D must be attained. And this argument can be repeated ad infinitum. It follows that infinitely many points must be traversed before the object can get from A to B. In fact, infinitely many points must be reached as soon as the motion from A begins. Since it is clearly impossible to accomplish infinitely many tasks (each being the passing from one point to another) in a finite time, no motion is at all possible!

Please study this paradox and post a few paragraphs refuting or supporting it.

 

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