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meno-第5章

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that confiding; I will gladly enquire with you into the nature of



virtue。



  Men。 Yes; Socrates; but what do you mean by saying that we do not



learn; and that what we call learning is only a process of



recollection? Can you teach me how this is?



  Soc。 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。



  Men。 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。



  Soc。 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。



  Men。 Certainly。 Come hither; boy。



  Soc。 He is Greek; and speaks Greek; does he not?



  Men。 Yes; indeed; he was born in the house。



  Soc。 Attend now to the questions which I ask him; and observe



whether he learns of me or only remembers。



  Men。 I will。



  Soc。 Tell me; boy; do you know that a figure like this is a square?



  Boy。 I do。



  Soc。 And you know that a square figure has these four lines equal?



  Boy。 Certainly。



  Soc。 And these lines which I have drawn through the middle of the



square are also equal?



  Boy。 Yes。



  Soc。 A square may be of any size?



  Boy。 Certainly。



  Soc。 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 other direction of one



foot; the whole would be of two feet taken once?



  Boy。 Yes。



  Soc。 But since this side is also of two feet; there are twice two



feet?



  Boy。 There are。



  Soc。 Then the square is of twice two feet?



  Boy。 Yes。



  Soc。 And how many are twice two feet? count and tell me。



  Boy。 Four; Socrates。



  Soc。 And might there not be another square twice as large as this;



and having like this the lines equal?



  Boy。 Yes。



  Soc。 And of how many feet will that be?



  Boy。 Of eight feet。



  Soc。 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。



  Soc。 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?



  Men。 Yes。



  Soc。 And does he really know?



  Men。 Certainly not。



  Soc。 He only guesses that because the square is double; the line



is double。



  Men。 True。



  Soc。 Observe him while he recalls the steps in regular order。 (To



the Boy。) Tell me; boy; do you assert that a double space comes from a



double line? Remember that I am not speaking of an oblong; but of a



figure equal every way; and twice the size of this…that is to say of



eight feet; and I want to know whether you still say that a double



square comes from double line?



  Boy。 Yes。



  Soc。 But does not this line become doubled if we add another such



line here?



  Boy。 Certainly。



  Soc。 And four such lines will make a space containing eight feet?



  Boy。 Yes。



  Soc。 Let us describe such a figure: Would you not say that this is



the figure of eight feet?



  Boy。 Yes。



  Soc。 And are there not these four divisions in the figure; each of



which is equal to the figure of four feet?



  Boy。 True。



  Soc。 And is not that four times four?



  Boy。 Certainly。



  Soc。 And four times is not double?



  Boy。 No; indeed。



  Soc。 But how much?



  Boy。 Four times as much。



  Soc。 Therefore the double line; boy; has given a space; not twice;



but four times as much。



  Boy。 True。



  Soc。 Four times four are sixteen…are they not?



  Boy。 Yes。



  Soc。 What line would give you a space of right feet; as this gives



one of sixteen feet;…do you see?



  Boy。 Yes。



  Soc。 And the space of four feet is made from this half line?



  Boy。 Yes。



  Soc。 Good; and is not a space of eight feet twice the size of



this; and half the size of the other?



  Boy。 Certainly。



  Soc。 Such a space; then; will be made out of a line greater than



this one; and less than that one?



  Boy。 Yes; I think so。



  Soc。 Very good; I like to hear you say what you think。 And now



tell me; is not this a line of two feet and that of four?



  Boy。 Yes。



  Soc。 Then the line which forms the side of eight feet ought to be



more than this line of two feet; and less than the other of four feet?



  Boy。 It ought。



  Soc。 Try and see if you can tell me how much it will be。



  Boy。 Three feet。



  Soc。 Then if we add a half to this line of two; that will be the



line of three。 Here are two and there is one; and on the other side;



here are two also and there is one: and that makes the figure of which



you speak?



  Boy。 Yes。



  Soc。 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。



  Soc。 And how much are three times three feet?



  Boy。 Nine。



  Soc。 And how much is the double of four?



  Boy。 Eight。



  Soc。 Then the figure of eight is not made out of a of three?



  Boy。 No。



  Soc。 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。



  Soc。 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。



  Men。 True。



  Soc。 Is he not better off in knowing his ignorance?



  Men。 I think that he is。



  Soc。 If we have made him doubt; and given him the 〃torpedo's shock;〃



have we done him any harm?



  Men。 I think not。



  Soc。 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。



  Men。 True。



  Soc。 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?



  Men。 I think not; Socrates。



  Soc。 Then he was the better for the torpedo's touch?



  Men。 I think so。



  Soc。 Mark now the farther development。 I shall
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