A CONTINUATION OF SOCRATES' DIALOGUE WITH MENO IN WHICH THE BOY PROVES ROOT 2 IS IRRATIONALSocrates:Well, here we are at the appointed time, Meno. Meno:Yes, and it looks like a fine day for it, too. Socrates:And I see our serving boy is also here.
Boy:Yes, I am, and ready to do your bidding.
Socrates: Wonderful. Now, Meno, I want you to be on your guard, as you were the other day, to insure that I teach nothing to the boy, but rather pull out of his mind the premises which are already there.
Meno:I shall do my best, Socrates.
Socrates: I can ask more of no man, Meno, and I am certain that you will do well, and I hope I will give you no call to halt me in my saying if I should say too much, in which you would feel I was actually teaching the boy the answer to this riddle.
Meno: No, Socrates, I don't think I will have to call you on anything you might say today, for the most wondrously learned men of the group of Pythagoras have spent many hours, weeks, and even months and years toiling in their manner to arrive at the mystic solutions to the puzzles formed by the simple squares with which we worked the other day. Therefore, I am certain to regain my virtue, which I lost the other day, when I was so steadfastly proven by you to be in error in my statement that the root of a square with an area of two square feet was beyond this boy, who is a fine boy, whom we must make to understand that he should do his best here, and not feel that he has done any wrongness by causing me to lose my virtue to you the other day.
Socrates: Meno, my friend, it is my opinion, and I hope it will soon be yours, that your virtue was increased the other day, rather than decreased.
Meno: I fail to see how, when I was humiliated by seeing this young boy, of modest education, arrive in minutes at the highest mystic levels of the magic of the Pythagoreans. Most of all when I wagered as many dinners as you could eat at my house that this could not be the case.
Socrates:First, friend Meno, let me assure you that I will promisenever to eat you out of house and home, not that I could if I tried, for my tastes are simple and your wallet is large. Nevertheless, Meno, my friend, I would hasten to add that I will promise, if you like, not to ever come to your table uninvited.
As a second reason you and your virtue should feel better after the events of the other day, because you were in error before, but are less in error now. And the path to virtue, at least one aspect of the path to virtue, is in finding and correcting error.
Meno: Socrates, you know you are always welcome at my table, except when I am suffering from my ulcer, which you aggravate greatly, or at time when I am entertaining the highest nobles of the land, and you would appear out of place in your clothing. (Socrates was known for his simple attire, and for wearing his garments over and over till they wore out. However, the only surviving example of his writing is a laundry list, so we know he kept his clothes clean and somewhat presentable, though simple)Socrates: I would hope you would have me over because I was a good influence on your development, than for any other reason. I notice you did not respond to my claim to have increased your virtue, through the exorcism of your error.
Meno: Well Socrates, you know that it is not always the easiest thing to give up one's ways, even though one has found them to be in error. Therefore, please forgive me if I am not sounding as grateful as you would like for your lessons.
Socrates: The easier one finds it to give up the ways of error, the easier it is to replace the error with that which we hope is not in error. Is this not the way to virtue?
Meno: Yes, Socrates, and you know the path is hard, and that we often stumble and fall.
Socrates: Yes, but is it not true that we stumble and fall over the obstacles which we make for ourselves to trip over?
Meno:Certainly that is most true, Socrates, in some cases.
Socrates: Well, then, let us proceed, for I see the hour is upon us when I do my best thinking, and that hour shall be passed soon, andhopefully with it shall pass a bit of your ignorance.
Meno:Well said, Socrates.I am with you.
Socrates:And shall have we a wager on the events of today? Meno:Certainly, Socrates.
Socrates: And what shall you wager against this boy proving that the length of the root of a square with an area of two square feet, cannot be made by the ratio of two whole numbers?
Meno: You may have anything it is in my power to give, unless it cause harm to myself or to another to give it.
Socrates: Well said, my friend Meno, and I shall leave it at that. And what shall I offer you as a return wager?
Meno: Well, the easiest thing which comes to mind is to wager all those dinners you won from me the other day.
Socrates:Very well, so be it.
Meno: Now Socrates, since you are my friend, I must give you this friendly warning: you know that the Pythagoreans jealously guard their secrets with secret meetings, protected by secret handshakes, secret signs, passwords, and all that, do you not?
Socrates:I have heard as much, friend Meno.
Meno: Then be sure that they will seek revenge upon you for demystifying the ideas and concepts which they worked so long and hard and secretly to create and protect; for they are a jealous lot in the extreme, hiding in mountain caves, which are hardly fit to be called monasteries by even the most hardened monk.
Socrates: I take your meaning, friend Meno, and thank you for your consideration, but I think that if I lose, that they will not bother me, and if I win, it will appear so simple to everyone, that if would be sheerest folly for anyone to make even the smallest gesture to protect its fallen mystic secrecy. Besides, I have a citizen's responsibility to Athens and to all Athenians to do my best to protect them and enlighten them.
