This paradox combines the Paradox of Dichotomy with the Paradox of the Parity of Infinity.
Achilles, swiftest of mortals, opens the Olympic Games by bringing a torch to light the Olympic flame. Unfortunately he is too swift for his torch, and it flickers due to the speed of his passage. For the first 1/2 stadia of his run, his torch is lit; for the next 1/4 stadia of his run, it is out; ; for the next 1/6 stadia, it is lit; for the next 1/16, it is out; and so on indefinitely.
Achilles’ torch flickers infinitely many times by the time he reaches the Olympic flame. By that time, is his torch lit or out?