ABSTRACT

Zeno's motion paradoxes is often called the 'Stadium', or sometime the 'paradox of the moving rows'. McLaughlin and Miller have argued that non-standard analysis, in the particular form of Nelson's 'internal set theory' (IST), can be used to resolve some of Zeno's paradoxes in a more intuitively compelling way than would otherwise be possible. Recognizing that motion is relative, in many possible universes if not all, goes a long way towards making the at-at theory acceptable. The motion of a classical object depends on a combination of dynamic and kinematic factors. Critics have pointed out that since the new primitive property has precisely the same empirical consequences as the orthodox account of velocity, it is vulnerable to Occam's razor. Peter Forrest suggests that what Hermann Weyl's argument shows is that it is a mistake to represent a discrete space as a tiling of squares, or any other regular shape.