Meno
Plato (428–347 BC)
Plato's Meno in the Greek text edited by John Burnet.
Section 70
Section 71
Section 72
Section 73
Section 74
Section 75
Section 76
Section 77
Section 78
Section 79
Section 80
Section 81
Section 82
[82] SOCRATES: I told you, Meno, just now that you were a rogue, and now you ask whether I can teach you, when I am saying that there is no teaching, but only recollection; and thus you imagine that you will involve me in a contradiction.
MENO: Indeed, Socrates, I protest that I had no such intention. I only asked the question from habit; but if you can prove to me that what you say is true, I wish that you would.
SOCRATES: It will be no easy matter, but I will try to please you to the utmost of my power. Suppose that you call one of your numerous attendants, that I may demonstrate on him.
MENO: Certainly. Come hither, boy.
SOCRATES: He is Greek, and speaks Greek, does he not?
MENO: Yes, indeed; he was born in the house.
SOCRATES: Attend now to the questions which I ask him, and observe whether he learns of me or only remembers.
MENO: I will.
SOCRATES: Tell me, boy, do you know that a figure like this is a square?
BOY: I do.
SOCRATES: And you know that a square figure has these four lines equal?
BOY: Certainly.
SOCRATES: And these lines which I have drawn through the middle of the square are also equal?
BOY: Yes.
SOCRATES: A square may be of any size?
BOY: Certainly.
SOCRATES: And if one side of the figure be of two feet, and the other side be of two feet, how much will the whole be? Let me explain: if in one direction the space was of two feet, and in the other direction of one foot, the whole would be of two feet taken once?
BOY: Yes.
SOCRATES: But since this side is also of two feet, there are twice two feet?
BOY: There are.
SOCRATES: Then the square is of twice two feet?
BOY: Yes.
SOCRATES: And how many are twice two feet? count and tell me.
BOY: Four, Socrates.
SOCRATES: And might there not be another square twice as large as this, and having like this the lines equal?
BOY: Yes.
SOCRATES: And of how many feet will that be?
BOY: Of eight feet.
SOCRATES: And now try and tell me the length of the line which forms the side of that double square: this is two feet--what will that be?
BOY: Clearly, Socrates, it will be double.
SOCRATES: Do you observe, Meno, that I am not teaching the boy anything, but only asking him questions; and now he fancies that he knows how long a line is necessary in order to produce a figure of eight square feet; does he not?
MENO: Yes.
SOCRATES: And does he really know?
MENO: Certainly not.
SOCRATES: He only guesses that because the square is double, the line is double.
MENO: True.