If an object is, say, 100 cm. from a wall, and I move the object halfway to the wall and stop, then the distance is reduced to 50 cm. If I continually move the object by one half of the remaining distance and stop, and keep repeating this procedure, why is it that the object eventually makes contact with the wall (on a macroscopic level at least), considering that no matter how infinitely small the remaining distance is, I can theoretically cut that distance by half, and thus never reach the wall. Does the Planck distance, the theoretically smallest unit of distance, have anything to do with this? And if so, how does any object get "around" that infinitely small Planck distance in order to move at all?
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