Page:Early Greek philosophy by John Burnet, 3rd edition, 1920.djvu/331

 Rh The line is infinitely divisible; and, according to this view, it will be made up of an infinite number of units, each of which has some magnitude.

That this argument refers to points is proved by an instructive passage from Aristotle's Metaphysics. We read there—

From all this it seems impossible to draw any other conclusion than that the "one" against which Zeno argued was the "one" of which a number constitute a "many," and that is just the Pythagorean unit.

162. Aristotle refers to an argument which seems to be directed against the Pythagorean doctrine of space, and Simplicius quotes it in this form:

What Zeno is really arguing against here is the attempt to distinguish space from the body that occupies it. If we insist that body must be in space, then we must go on to ask what space itself is in. This is a "reinforcement" of the Parmenidean denial of the void. Possibly the argument that