Likewise (but I won’t attempt to sketch it), that same line can be chopped into 600 pieces that are each 0.01 centimeter or 60,000,000 pieces that are each 0.0000001 centimeter. If we keep going and take this chopping frenzy to the limit, we are led to the bizarre conclusion that a 6-centimeter line is made up of infinitely many pieces of length zero. Maybe that sounds plausible. After all, the line is made up of infinitely many points, and each point has zero length. But what’s so philosophically unnerving is that the same argument applies to a line of any length.
