Meno: Yes, Socrates. He knows even and odd numbers, and ratios; as do all the school children his age.
Socrates: Very well, boy. You have named four kinds of ratios: Even over odd, odd over even, even over even, odd over odd, and all the ratios make numbers we call rational numbers.
Boy: That's what it looks like, Socrates.
Socrates: Meno, have you anything to contribute here?
Meno: No, Socrates, I am fine.
Socrates: Very well. Now, boy, we are off in search of more about the square root of two. We have divided the rational numbers into four groups, odd/even, even/odd, even/even, odd/odd?
Boy: Yes.
Socrates: And if we find another group we can include them. Now, we want to find which one of these groups, if any, contains the number you found the other day, the one which squared is two.
Would that be fun to try?
Boy: Yes, Socrates, and also educational.