And tell me, Hippias, are you not a skilful calculator and arithmetician?
HIPPIAS: Yes, Socrates, assuredly I am.
SOCRATES: And if some one were to ask you what is the sum of 3 multiplied by 700, you would tell him the true answer in a moment, if you pleased?
HIPPIAS: certainly I should.
SOCRATES: Is not that because you are the wisest and ablest of men in these matters?
HIPPIAS: Yes.
SOCRATES: And being as you are the wisest and ablest of men in these matters of calculation, are you not also the best?
HIPPIAS: To be sure, Socrates, I am the best.
SOCRATES: And therefore you would be the most able to tell the truth about these matters, would you not?
HIPPIAS: Yes, I should.
SOCRATES: And could you speak falsehoods about them equally well? I must beg, Hippias, that you will answer me with the same frankness and magnanimity which has hitherto characterized you. If a person were to ask you what is the sum of 3 multiplied by 700, would not you be the best and most consistent teller of a falsehood, having always the power of speaking falsely as you have of speaking truly, about these same matters, if you wanted to tell a falsehood, and not to answer truly? Would the ignorant man be better able to tell a falsehood in matters of calculation than you would be, if you chose? Might he not sometimes stumble upon the truth, when he wanted to tell a lie, because he did not know, whereas you who are the wise man, if you wanted to tell a lie would always and consistently lie?
HIPPIAS: Yes, there you are quite right.
SOCRATES: Does the false man tell lies about other things, but not about number, or when he is making a calculation?
HIPPIAS: To be sure; he would tell as many lies about number as about other things.
SOCRATES: Then may we further assume, Hippias, that there are men who are false about calculation and number?
HIPPIAS: Yes.
SOCRATES: Who can they be? For you have already admitted that he who is false must have the ability to be false: you said, as you will remember, that he who is unable to be false will not be false?
HIPPIAS: Yes, I remember; it was so said.
SOCRATES: And were you not yourself just now shown to be best able to speak falsely about calculation?
HIPPIAS: Yes; that was another thing which was said.
SOCRATES: And are you not likewise said to speak truly about calculation?
HIPPIAS: Certainly.
SOCRATES: Then the same person is able to speak both falsely and truly about calculation? And that person is he who is good at calculation—the arithmetician?
HIPPIAS: Yes.
SOCRATES: Who, then, Hippias, is discovered to be false at calculation? Is he not the good man? For the good man is the able man, and he is the true man.
HIPPIAS: That is evident.
SOCRATES: Do you not see, then, that the same man is false and also true about the same matters? And the true man is not a whit better than the false; for indeed he is the same with him and not the very opposite, as you were just now imagining.
HIPPIAS: Not in that instance, clearly.
SOCRATES: Shall we examine other instances?
HIPPIAS: Certainly, if you are disposed.
SOCRATES: Are you not also skilled in geometry?
HIPPIAS: I am.
SOCRATES: Well, and does not the same hold in that science also? Is not the same person best able to speak falsely or to speak truly about diagrams; and he is—the geometrician?
HIPPIAS: Yes.
SOCRATES: He and no one else is good at it?
HIPPIAS: Yes, he and no one else.
SOCRATES: Then the good and wise geometer has this double power in the highest degree; and if there be a man who is false about diagrams the good man will be he, for he is able to be false; whereas the bad is unable, and for this reason is not false, as has been admitted.
HIPPIAS: True.
SOCRATES: Once more—let us examine a third case; that of the astronomer, in whose art, again, you, Hippias, profess to be a still greater proficient than in the preceding—do you not?
HIPPIAS: Yes, I am.
SOCRATES: And does not the same hold of astronomy?
HIPPIAS: True, Socrates.
SOCRATES: And in astronomy, too, if any man be able to speak falsely he will be the good astronomer, but he who is not able will not speak falsely, for he has no knowledge.
HIPPIAS: Clearly not.
SOCRATES: Then in astronomy also, the same man will be true and false?
HIPPIAS: It would seem so.
SOCRATES: And now, Hippias, consider the question at large about all the sciences, and see whether the same principle does not always hold. I know that in most arts you are the wisest of men, as I have heard you boasting in the agora at the tables of the money-changers, when you were setting forth the great and enviable stores of your wisdom; and you said that upon one occasion, when you went to the Olympic games, all that you had on your person was made by yourself. You began with your ring, which was of your own workmanship, and you said that you could engrave rings; and you had another seal which was also of your own workmanship, and a strigil and an oil flask, which you had made yourself; you said also that you had made the shoes which you had on your feet, and the cloak and the short tunic; but what appeared to us all most extraordinary and a proof of singular art, was the girdle of your tunic, which, you said, was as fine as the most costly Persian fabric, and of your own weaving; moreover, you told us that you had brought with you poems, epic, tragic, and dithyrambic, as well as prose writings of the most various kinds; and you said that your skill was also pre-eminent in the arts which I was just now mentioning, and in the true principles of rhythm and harmony and of orthography; and if I remember rightly, there were a great many other accomplishments in which you excelled. I have forgotten to mention your art of memory, which you regard as your special glory, and I dare say that I have forgotten many other things; but, as I was saying, only look to your own arts—and there are plenty of them—and to those of others; and tell me, having regard to the admissions which you and I have made, whether you discover any department of art or any description of wisdom or cunning, whichever name you use, in which the true and false are different and not the same: tell me, if you can, of any. But you cannot.
HIPPIAS: Not without consideration, Socrates.
SOCRATES: Nor will consideration help you, Hippias, as I believe; but then if I am right, remember what the consequence will be.
HIPPIAS: I do not know what you mean, Socrates.
SOCRATES: I suppose that you are not using your art of memory, doubtless because you think that such an accomplishment is not needed on the present occasion. I will therefore remind you of what you were saying: were you not saying that Achilles was a true man, and Odysseus false and wily?
HIPPIAS: I was.
SOCRATES: And now do you perceive that the same person has turned out to be false as well as true? If Odysseus is false he is also true, and if Achilles is true he is also false, and so the two men are not opposed to one another, but they are alike.
HIPPIAS: O Socrates, you are always weaving the meshes of an argument, selecting the most difficult point, and fastening upon details instead of grappling with the matter in hand as a whole. Come now, and I will demonstrate to you, if you will allow me, by many satisfactory proofs, that Homer has made Achilles a better man than Odysseus, and a truthful man too; and that he has made the other crafty, and a teller of many untruths, and inferior to Achilles. And then, if you please, you shall make a