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    March 14

    Zeno's Paradox, famous 4 out of 40

    Xenophanes (born in 570 BC), Greek religious thinker and poet.

    Of the 40 arguments attributed to Zeno by later writers, the four most famous are on the subject of motion:

     

    The Dichotomy: There is no motion, because that which is moved must arrive at the middle before it arrives at the end, and so on ad infinitum.

    The Achilles: The slower will never be overtaken by the quicker, for that which is pursuing must first reach the point from which that which is fleeing started, so that the slower must always be some distance ahead.

    The Arrow: If everything is either at rest or moving when it occupies a space equal to itself, while the object moved is always in the instant, a moving arrow is unmoved.

    The Stadium: Consider two rows of bodies, each composed of an equal number of bodies of equal size.  They pass each other as they travel with equal velocity in opposite directions.  Thus, half a time is equal to the whole time.