Zeno's paradox

An ancient puzzle leads ultimately to a remarkable observation on the malleable nature of infinite sums

Zeno's paradoxes of motion

The Greek philosopher Zeno of Elea (c. 490–430 BC) argued in antiquity that all motion is impossible. It is simply impossible to walk through town or even across the room, to go from here to there. What? We know, of course, that this is possible—we walk from here to there every day. And yet, Zeno offers us his proof that this i…