Saturday, November 26, 2011 8:53:31 PM
@BlankTom I don't understand your point about achillies and the tortoise, i think you`ve misunderstood the problem. Achilles isn`t stopping everytime he reaches the tortoise to allow it to advance, therefore his "intent" as in the point he`s `aiming` for, doesn`t factor into the problem at all. All you need to know is that achilles and the tortoise are both travelling parrelel at constant speeds, where achilles is aiming for is irrelevent. The Paradox is just highlighting that an infinite number of steps must occur before achilles can overtake the tortoise. And an infinite number of steps would of course take, infinity to complete, therefore rendering all movement impossible. Of course movement IS possible, so what we`re left with is a lovely befuddling paradox.