a person were to remark that A is taller by a head than B, and B less by a head than A, you would refuse to admit his statement, and would stoutly contend that what you mean is only that the greater is greater by, and by reason of, greatness, and the less is less only by, and by reason of, smallness; and thus you would avoid the danger of saying that the greater is greater and the less less by the measure of the head, which is the same in both, and would also avoid the monstrous absurdity of supposing that the greater man is greater by reason of the head, which is small. You would be afraid to draw such an inference, would you not?
Indeed, I should, said Cebes, laughing.
In like manner you would be afraid to say that ten exceeded eight by, and by reason of, two; but would say by, and by reason of, number; or you would say that two cubits exceed one cubit not by a half, but by magnitude?-for there is the same liability to error in all these cases.
Very true, he said.
Again, would you not be cautious of affirming that the addition of one to one, or the division of one, is the cause of two? And you would loudly asseverate that you know of no way in which anything comes into existence except by participation in its own proper essence, and consequently, as far as you know, the only cause of two is the participation in duality—this is the way to make two, and the participation in one is the way to make one. You would say: I will let alone puzzles of division and addition—wiser heads than mine may answer them; inexperienced as I am, and