Thursday 17 May 2012

The Joy and Pain of Numbers


Have you ever wondered why social scientists fight among each other over theories like kids fight over candies?  Why can’t they agree on a certain point? They deal with pretty much abstract stuffs, is my answer. Looking at what your peers in India do you might get tempted to make a theory that white is beautiful. In Bollywood songs gori (white skinned girl) explicitly means beautiful. But if you come to the land of whites (Europe or America) your theory may change: people there consider other parameters in evaluating appearance, even some of them prefer tanned skin. The problem is beauty is such an abstract concept that you can’t reduce it into some comprehensible entity that your mind can use to compare among various subjects. 

Let’s understand it with a better example. Do you doubt that a 6 ft Ram is taller than a 5 ft Hari? I am sure you don't. Once you reduce the concept "height" into numbers, there is absolutely no difficulty to compare. It can even be obvious to everyone that 5.9999 is less than 6... That is the beauty of numbers. It is difficult to judge the relative academic merit of a student; some students may perform better in problem solving, some may be good at subjective understanding. But once you fix a question paper, you take an exam; then you can find the best student in your class - the one who scored the highest mark. The best student may not be actually the best, but in our mind (or in the minds of other people) he is. That if a naughty kid has scored just 30% in your class, his display of some good subjective understanding will less likely to attract your attention. The problem earlier was you were not able to express the abstract entity “beauty” in terms of some numbers.

Numbers can be joined to form more powerful analytical tools - equations. How much could you have understand the power of sub-atomic particles without Einstein’s E =Mc^2? Intuitively you may understand many of the physical phenomenon around you, but nobody will understand you if you can’t transform your intuitions into equations. This is the problem social scientists face: without equations their ideas become personal opinions, which are hard to be understood and hard to be evaluated.

Equations can give a scientist sheer amount of joy. More and more beautiful equations can be made by manipulating existing equations. And there also begins the pain: the main subject can be buried under equations of mutinous proportion. Scientists sometimes do it to make their theory look elegant, sometimes even to confuse readers.