I like your way, Socrates, of making one in many places at once. You mean to say, that if I were to spread out a sail and cover a number of men, there would be one whole including many--is not that your meaning? I think so. And would you say that the whole sail includes each man, or a part of it only, and different parts different men? The latter. Then, Socrates, the ideas themselves will be divisible, and things which participate in them will have a part of them only and not the whole idea existing in each of them? That seems to follow. Then would you like to say, Socrates, that the one idea is really divisible and yet remains one? Certainly not, he said. Suppose that you divide absolute greatness, and that of the many great things, each one is great in virtue of a portion of greatness less than absolute greatness--is that conceivable? No. Or will each equal thing, if possessing some small portion of equality less than absolute equality, be equal to some other thing by virtue of that portion only? Impossible. Or suppose one of us to have a portion of smallness; this is but a part of the small, and therefore the absolutely small is greater; if the absolutely small be greater, that to which the part of the small is added will be smaller and not greater than before. How absurd! Then in what way, Socrates, will all things participate in the ideas, if they are unable to participate in them either as parts or wholes? Indeed, he said, you have asked a question which is not easily answered. Well, said Parmenides, and what do you say of another question? What question? I imagine that the way in which you are led to assume one idea of each kind is as follows:--You see a number of great objects, and when you look at them there seems to you to be one and the same idea (or nature) in them all; hence you conceive of greatness as one. Very true, said Socrates. And if you go on and allow your mind in like manner to embrace in one view the idea of greatness and of great things which are not the idea, and to compare them, will not another greatness arise, which will appear to be the source of all these? It would seem so. Then another idea of greatness now comes into view over and above absolute greatness, and the individuals which partake of it; and then another, over and above all these, by virtue of which they will all be great, and so each idea instead of being one will be infinitely multiplied. But may not the ideas, asked Socrates, be thoughts only, and have no proper existence except in our minds, Parmenides? For in that case each idea may still be one, and not experience this infinite multiplication. And can there be individual thoughts which are thoughts of nothing? Impossible, he said. The thought must be of something? Yes. Of something which is or which is not? Of something which is. Must it not be of a single something, which the thought recognizes as attaching to all, being a single form or nature? Yes.