ZENO PARADOXES

MOTION IS AN ILLUSION

THE TORTOISE PARADOX

• Achilles is challenged by a tortoise to a foot race.
• Achilles allows the tortoise a head start.
• Little did he know... He had already lost!

TORTOISE PARADOX

• The explanation is that, in order to overtake the turtle... Achilles must reach the halfway point between him and the turtle.
• He must then go halfway between him and the turtle again, and again and again. (i.e. 1/2,1/4,1/8...)

TORTOISE PARADOX

• Because distance can be infinitely divided in half, there is an infinite distance between Achilles and the tortoise.
• It is impossible to complete and infinite amount of tasks in a set amount of time.
• Therefore, Achilles can never overtake the tortoise.
• The pursuer can never catch up to the pursued.

GRAIN PARADOX