Monday, March 07, 2005

The Two Way Thought Process

Sometimes while solving a problem, I have discovered for myself that the discovery works two ways
  1. If a small problem is solved, one can generalize the solution and it becomes a learning
  2. If a generic problem is solved, one can apply it to niche areas and problems to solve complex problems
Usually, I keep oscillating between (1) and (2). However, I wonder whether one should apply (1) or (2) to a problem first? I suspect it should be (1) and the authors of Concrete Mathematics seem to agree. What do you think?
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