e two also and there is one: and that makes the figure of which
you speak?
BOY: Yes.
SOCRATES: But if there are three feet this way and three feet that way,
the whole space will be three times three feet?
BOY: That is evident.
SOCRATES: And how much are three times three feet?
BOY: Nine.
SOCRATES: And how much is the double of four?
BOY: Eight.
SOCRATES: Then the figure of eight is not made out of a line of three?
BOY: No.
SOCRATES: But from what line?--tell me exactly; and if you would rather
not reckon, try and show me the line.
BOY: Indeed, Socrates, I do not know.
SOCRATES: Do you see, Meno, what advances he has made in his power of
recollection? He did not know at first, and he does not know now, what
is the side of a figure of eight feet: but then he thought that he knew,
and answered confidently as if he knew, and had no difficulty; now he
has a difficulty, and neither knows nor fancies that he knows.
MENO: True.
SOCRATES: Is he not better off in knowing his ignorance?
MENO: I think that he is.
SOCRATES: If we have made him doubt, and given him the 'torpedo's
shock,' have we done him any harm?
MENO: I think not.
SOCRATES: We have certainly, as would seem, assisted him in some degree
to the discovery of the truth; and now he will wish to remedy his
ignorance, but then he would have been ready to tell all the world again
and again that the double space should have a double side.
MENO: True.
SOCRATES: But do you suppose that he would ever have enquired into or
learned what he fancied that he knew, though he was really ignorant of
it, until he had fallen into perplexity under the idea that he did not
know, and had desired to know?
MENO: I think not, Socrates.
SOCRATES: Then he was the better for the torpedo's touch?
MENO: I think so.
SOCRATES: Mark now the farther development. I shall only ask him, and
not teach him, and he shall share the enquiry with me: and do you watch
and see if you find me telling or explaining anything to him, instead of
eliciting his opinion. Tell me, boy, is not this a square of four feet
which I have drawn?
BOY: Yes.
SOCRATES: And now I add another square equal to the former one?
BOY: Yes.
SOCRATES: And a third, which is equal to either of them?
BOY: Yes.
SOCRATES: Suppose that we fill up the vacant corner?
BOY: Very good.
SOCRATES: Here, then, there are four equal spaces?
BOY: Yes.
SOCRATES: And how many tim
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