Which paradox involves a runner trying to run 100 meters?

The correct choice is the Dichotomy paradox, which presents a thought experiment about motion and infinity. This paradox, famously articulated by Zeno of Elea, illustrates the challenges of understanding motion through an infinite division of space. In the scenario of a runner attempting to run 100 meters, one can conceptualize the need for the runner to first cover half the distance (50 meters), then half of the remaining distance (25 meters), and so on, creating an infinite series of steps.

Each of these steps, while finite, adds up to an infinite total number of steps, leading to the conclusion that the runner can never actually complete the full 100 meters because there are always more distances to cover. This paradox raises profound questions about the nature of space, time, and motion that have implications in philosophy and mathematics.

The other options, while related to paradoxical thinking, do not focus specifically on the scenario of a runner trying to cover a finite distance and thus do not capture the essence of the Dichotomy paradox as it pertains to the specific conditions of the question.