Monday, April 28, 2008

In search of beauty

It is astounding if you stop and consider the interdisciplinary nature of all good answers. I mean if you really stop and consider, you'd realise there is no reason for the truth to be that spectacular. But it is. Let me tell you the example that triggered my "stopping and considering" this proposition. Imagine you have two cubes Red and Blue, placed on two separate squares marked x and y on the floor. Now suppose you have to move Red cube to the y square and Blue cube to the x square. Here are two of the many ways you might do that:
1. Remove the Red square from x and keep it somewhere "else" on the floor. Move the Blue square to the x square and then keep the Red one on the y square.
2. Keep the Red square on top of the blue cube. Move this cube stack from y square to x square. Remove the red square from top of the blue one and keep it on y square.
If you are with me so far and if you happen to be a software engineer, you'd see the above is nothing but algorithms to swap two variables. The first one uses a third variable, the second one manages without this extra variable. But no one designed the two systems to behave similarly. The way good answers pervade disciplines is really overwhelming. It is as if God didn't want to reinvent beautiful answers so he chose to use the same ones in different places.
But for a someone who has made procuring knowledge as the purpose of his existence, this is great news. This means that he can stop at a beautiful answer knowing that this answer would solve more questions than he has himself dared to ask. This is a great assumption for someone diving in an infinite pool, knowing that all his searches would terminate at beauty.
And the search for beauty is a fulfilling experience because it brings you closer to the being that put it there. But the search is not easy, you need to spot it whenever it crosses your path. Beauty is there in the way words knock up against each other and flip through their alternates as I construct this sentence in my mind. Beauty is hidden in the irony of this sentence when it gets over. Beauty really is all around.
Let me end this thought with a couple of lines from the thoughts of an eminent mathematician, Paul Dirac:
"God used beautiful mathematics in creating the world."
"It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress."