The Second Story of Meno: A Continuation of Socrates' Dialogue with Meno in Which the Boy Proves Root 2 is Irrational — Socrates — John Shaqi
The Second Story of Meno: A Continuation of Socrates' Dialogue with Meno in Which the Boy Proves Root 2 is Irrational
Socrates · en
Meno: You suppose correctly. I will feed you for a week of
partying, and dress you in the finest garments, while you are
introduced to the finest ladies and gentlemen of Athens, from
whom you are free to select for your interests as friends,
business partners, social acquaintances, connections, and perhaps
even a wife, should you find someone you like for that. Do you
now understand that there is nothing I would leave out that you
would have to ask for, or that if you did have to ask, I would
give it immediately, and ask your forgiveness for my error?
Boy: It is hard to understand, but I take your word.
Socrates: Now don't let this all go to your head, boy.
This is something you could have figured out for yourself,
if you had applied your mind to it as you did to squares
the other day. Can you do as well, today?
Boy: I should think and hope so, friend Socrates, for I see you
are indeed my friend, and I should hope I am more capable today,
for having learned some the other day.
Socrates: We shall see, boy. Let us on to the test.
Now you remember the squares we dealt with the other day.
Boy: Yes, Socrates.
Socrates: And the one particular square on the diagonal we made,
whose area was two, do you remember that one?
Boy: Yes, Socrates.
Socrates: And you remember that the length of the side of a square,
when multiplied by itself, yields the area of the square.
Boy: Everyone at school knows that, Socrates.
Socrates: Well, maybe. However, it is about that side,
which when multiplied time itself yields an area of two,
that I would like to speak further today. How is that with you?
Boy: That is fine, Socrates. I remember that line,
and I sort of liked it the best, if you know what I mean.
Socrates: Good, then we should have a great time.
Do you know how long that line is, boy?
Boy: Well, I know that you both thought it wise when I said
it was of a length which when made a square of, yielded a square
with an area of two, so I suppose I should answer that way.
Socrates: And a good answer it is, too. We are going to
make it an even better answer as we proceed.
Boy: Good.
Socrates: Do you remember when you tripped up and fell on
your face the other day, when you thought that the square of area
nine was actually a square of area eight?
Boy: Oh yes, Socrates! And I am sorely ashamed, because I still
do not know enough to make sure I never make such an error again,
and therefore I know my virtue and rightness are lacking.
Socrates: They are not lacking so much that they cannot be improved,
are they boy?
Boy: I should hope and pray not.
Socrates: Well today, you are going to tell us some things
about that number, which when multiplied by itself gives us two.
Boy: I will tell you everything I know, or think I know,
Socrates, and hope that I am correct or can be corrected.
Socrates: To Meno, surely he is a fine boy, eh Meno?