Name: Anonymous 2006-01-31 18:23
One of the implications of this paradox is that in an infinitely divisible world, it's possible to cut up a 3 dimensional ball into 5 pieces. Then rearrange them using rigid motion, i.e no strechting/scaling etc. so that you will get two balls each of whom are equal in volume of the original ball. Pity the real world isn't infinitely divisible.