jueves, 18 de junio de 2009

Conceptual Thinking against Calculations

I was reading Yasser Seirawan's Winning Chess Combinations and there I found the following quote of Rashid Ziatdinov "Chess isn't 99% tactics; it's just that tactics take up 99% of your time!". The quote got me thinking since lately a have spent a lot of the time I dedicate to math doing calculations. I have always preferred a conceptual approach to things. In math I much prefer a conceptual proof to another one based on doing some calculations, it makes me feel that I have a better insight into the problem. In chess I normally prefer to play a logical positional game than a wild tactical one.

When I was doing my bachelor in math I spent a lot of time thinking about concepts and little doing calculations. I though that if I understood the concepts correctly then doing the calculations would be a simple mechanical exercise. I disliked ODE and statistics because they looked to my as just a bunch of tricks and formulas to solve some problems without any unifying foundation. But lately I have been spending more and more time on calculations. Now it seems to me that you obviously need to understand what you are doing, know what is the result that you want to prove and why, but that's the easy part. To actually crack the calculations required and come up with the actual proof seems to be the harder and more time consuming part.

Does this change in my point of view reflects some kind of change in my personality or it's simply that this is just the way it is and I just recently found out? Or is finding this out changing the way I see the world? In any case I just found this other chess quote by Bronstein commenting on a game of Kotov that reflects the way I see things now: "Finding the right plan is nowhere near as difficult as carrying it out by means of accurate moves"

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