Is it logically possible to perform a "superfeat"? That is, is it logically possible to complete, in a finite time, an infinite sequence of distinct acts? In opposition to the received view, I argue that all physical superfeats have kinematic features that make them logically impossible.

The “staccato run,” in which a runner stops infinitely often while running from one point to another, is a prototypical “superfeat,” that is, a feat involving the completion in a finite time of an infinite sequence of distinct acts. There is no widely accepted demonstration that superfeats are impossible logically, but I argue here, contra Grunbaüm, that they are impossible dynamically. Specifically, I show that the staccato run is excluded by Newton’s three laws of motion, when those laws are (...) supplemented with a defensible philosophical judgment. (shrink)