It's learning what to do with what you learn and
learning why you learn things at all that matters.
The princesses of Rhyme and Reason tell this to Milo when he finally reaches the Castle of the Air in Chapter 18. Milo explains that if he had not made
so many mistakes, he would have gotten there sooner. The princesses, of course, are pleased by his eagerness and good nature, and they tell him
that mistakes are perfectly all right, so long as Milo has learned from
...for one of the nicest things about mathematics, or anything else you might care to learn, is that many of the things which can never be, often are. You see it's very much like your trying to reach Infinity. You know that it's there, but you just don't know where-but just because you can never reach it doesn't mean that it's not worth looking for.
The Easiest thing
The only thing you can do easily is be wrong,
and that's hardly worth the effort.
Juster Norton. 1929. American architect and author.
"Once upon a time there was a sensible straight line who was hopelessly in love with a dot. 'You're the beginning and the end, the hub, the core and the quintessence,' he told her tenderly, but the frivolous dot wasn't a bit interested, for she only had eyes for a wild and unkempt squiggle who never seemed to have anything on his mind at all. All of the line's romantic dreams were in vain, until he discovered . . . angles! Now, with newfound self-expression, he can be anything he wants to be--a square, a triangle, a parallelogram. . . . And that's just the beginning!"
The Dot and the Line: A Romance in Lower Mathematics (1963).
And so time over time
What will change the world
No one knows
So the only promise
Is a day to live, to give
And share with one another
See the wisdom from mistakes in our past
Hear the younger gerneration ask
Why do I feel this way
The promise of a new day