Ah I have a good one.
Walk from one side of your room to the other. You would agree that in order to get across your room you first have to walk half that distance. However, in order to get to half that distance you would first have to walk a quarter of the distance of your room. But to get to that quarter you would have to walk an eighth. And to walk that eighth you would first have to walk a sixteenth. The point is that to travel a distance you have to first move half that distance, and half of the half, and half of that half, ect. Since there are an infinite amount of fractions because there is an infinite amount of numbers. This means that there is an infinite amount of halves you must travel to get to the other side of your room!
Tell me. How is it that you are able to walk across your room if you have to travel an infinite amount of halfway points? Don't just say by moving one leg because this applies to all movement of anything.
PS I didn't come up with this. Some philosopher who's name I can't remember did. Our logic teacher gave us this rant in class the other day and no one could come up with an answer. That is because it's a paradox.