Abstract

Zeno's paradox of Achilles and Tortoise is relevant only when Achilles and the tortoise move at different speeds but not if they ever move at the same speed but different directions. Or not relevant if there is in addition a kind of space in which they move at the same speed contrary to appearances. According to a principle of special relativity the more an object moves in coordinate space the less it moves in coordinate time. If the relative speed between Achilles and the tortoise is v, after T passage of time, from the point of view of the tortoise, Achilles moves vT in coordinate space and wT in coordinate time. The framework of special relativity wholly describes the motion of both if v^2 + w^2 = C^2 where C is the speed of light. Achilles and the Tortoise phenomenally (ordinary 3-dimensional conception of space) move at different speeds, but noumenally (in 4-dimensional spacetime) move at the same speed C.