ACHILLES AND THE TORTOISE

This paradox, whilst one of the oldest on record (being attributed by Aristotle to Zeus Eleates, B.C. 500), is one of the most perplexing, upon first presentation to the mind, that can be selected from the most ample list. Its professed object was to disprove the phenomenon of motion; but its real one, to embarrass an opponent. It has always attracted the attention of logicians; and even to them it has often proved embarrassing enough. The difficulty does not lie in proving that the conclusion is absurd, but in *showing where the fallacy lies*. From not knowing the precise kind of information…