(1) If, however, it be necessary, dismissing these particulars, to speak what appears to me to be the truth, you do not rightly infer “ that a knowledge of this mathematical science cannot be obtained, because there is much dissonance concerning it, or because Chæremon, or some other, has written against it .” For if this reason were admitted, all things will be incomprehensible. For all sciences have ten thousand controvertists, and the doubts with which they are attended are innumerable. As, therefore, we are accustomed to say in opposition to the contentious, that contraries in things that are true are naturally discordant, and that it is not falsities alone that are hostile to each other; thus, also, we say respecting this mathematical science, that it is indeed true; but that those who wander from the scope of it, being ignorant of the truth, contradict it. This, however happens not in this science alone, but likewise in all the sciences, which are imparted by the Gods to men.

(452) custom, the wits of that day might equally have ridiculed the innovation. No doubt. But when experience showed that to let all things be uncovered was far better than to cover them up, and the ludicrous effect to the outward eye vanished before the better principle which reason asserted, then the man was perceived to be a fool who directs the shafts of his ridicule at any other sight but that of folly and vice, or seriously inclines to weigh the beautiful by any other standard but that of the good 4 . Very true, he replied. First, then, whether the question is to be put in jest or in earnest, let us come to an understanding about the nature of woman: Is she capable of sharing either wholly or partially in the actions of men, or not at all? And is the art of war one of those arts in which she can or can not share? That will be the best way of commencing the enquiry, and will probably lead to the fairest conclusion. That will be much the best way. Shall we take the other side first and begin by arguing against ourselves; in this manner the adversary’s position will not be undefended.

(453) I suppose so, he said. Well then, let us see if any way of escape can be found. We acknowledged—did we not? that different natures ought to have different pursuits, and that men’s and women’s natures are different. And now what are we saying?—that different natures ought to have the same pursuits,—this is the inconsistency which is charged upon us. Precisely. Verily, Glaucon, I said, glorious is the power of the art of contradiction! Why do you say so? Because I think that many a man falls into the practice against his will. When he thinks that he is reasoning he is really disputing, just because he cannot define and divide, and so know that of which he is speaking; and he will pursue a merely verbal opposition in the spirit of contention and not of fair discussion. Yes, he replied, such is very often the case; but what has that to do with us and our argument? A great deal; for there is certainly a danger of our getting unintentionally into a verbal opposition. In what way? Why we valiantly and pugnaciously insist upon the verbal truth, that different natures ought to have different pursuits, but we never considered at all what was the meaning of sameness or difference of nature, or why we distinguished them when we assigned different pursuits to different natures and the same to the same natures. Why, no, he said, that was never considered by us.

(1) I, at any rate, am not conscious, when speaking in reply to Greeks or others, of fancying to assist good men, in case they should be able to know and speak the very truth, as it really is in itself. For, when this is correctly demonstrated in its essential nature, according to a law of truth, and has been established without flaw, every thing which is otherwise, and simulates the truth, will be convicted of being other than the reality, and dissimilar, and that which is seeming rather than real. It is superfluous then, that the expounder of truth should contend with these or those. For each affirms himself to have the royal coin, and perchance has some deceptive image of a certain portion of the true. And, if you refute this, first the one, and then the other, will contend concerning the same. But, when the true statement itself has been correctly laid down, and has remained unrefuted by all the rest, every thing which is not so in every respect is cast down of itself, by the impregnable stability of the really true. Having then as I think well understood this, I have not been over zealous to speak in reply to Greeks or to others; but it is sufficient for me (and may God grant this), first to know about truth, then, having known, to speak as it is fitting to speak.