  Zeno's paradoxes are explained as being the result of inappropriate
combination of discrete and continuous mathematical systems. It is proposed
that the source of this confusion lies in the course of development of the
number system, which was originally created to model discrete elements of
experience and only later, by the invention of standards of measurement,
expanded to continuous entities, leading to subtle contradictions when applied
to time, space and motion. Analysis of these contradictions furthers our
understanding of the relationships between number systems and the physical
world.
