chapter  1
44 Pages


Zeno’s paradoxes (thereare several) inquire into the nature of space, time, motion, continuity, and infinity. This one seems to show that motion is impossible. Or does it merely show that basic mathematics (arithmetic and geometry) can’t account for motion through time and space? (Or has Zeno simply not correctly accounted for the difference in speed or, as Lewis Carroll suggests, for the fact that the distances to be covered by Achilles are constantly diminishing in length?) Can the paradox be explained with contemporary math (calculus) and physics? If so, does that mean contemporary math and physics defy logic-or the world as we know it (in which Achilles would certainly finish the race)?