Friday, December 12, 2014

How we Generalize things

Let's start with some sitters-- what's the value of 5+6 ; calculate the mean of 4 and 6.
It's too easy ? the answer being 11 and 5.
What if i tell you your answer is wrong.  Surprised? Let's check out the facts.

Sometimes we know the concepts,theories,underlying facts but still we choose to ignore it unconsciously and go with the superficial nature of the problem. And then the problem arises, we start doing it so often that we forget that there could be an alternate to it.

Let's look out for the question in the beginning of the post. Think about the first question- 5+6 ... what if i tell you the answer is 'b'. We all have heard about diff. system - binary, hexadecimal , and the most popular ,the one that we use decimal. But, we are so used to decimal system that we tend to forget that something like diff. system exist. the answer 5+6=b is in hexadecimal system. Going ahead with second question mean of 4 and 6 . again we all know about diff. kind of mean- arithmetic,geometric, harmonic and so on. But we are so used to arithmetic mean that again we tend to generalize things. In arithmetic mean the answer is indeed 5.

Our answer 5+6=11 and mean =5 is not wrong considering decimal system and arithmetic mean but if other system are used , it's a diff. story all together. I'm not saying that we should not generalize things , doing it will lead to ultimate chaos.


But, we should not forget that there's a back story to every problem. A different solution in different perspective. And this is not limited to any mathematical or scientific problems. We can extend it to real life existing problems. Instead of generalizing things we should start looking it from a diff. perspective.

Inspired by the philosophy of Alok bhaiya - my chemistry teacher in +2 . He can make a boring dull subject like chemistry the most entertaining among all subjects. That's his charm.

                                                                                                               ----A.K.

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