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Comments XIV



  •  The only way to keep alive is to keep moving.
  • It seems to be in the nature of man to push questions to the brink of impossibility and beyond.
  •  An error made in the problem solution for today can generate the impossible problem having no solution for tomorrow.
  • Induction and analogy, though important, often prove to be the lazy man’s route to problem solving – particularly when they are imprecisely or inaccurately  applied.  While induction is a valid mathematical technique, analogy merely provides heuristics and example to help with problem understanding. 
  • One good marker of an impossible problem is this:  The greater the number of solutions offered, the more difficult or impossible it must be. 
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  • Confusion Theory.  Yes, there is a confusion theory.  It purports many things.  Included are studies that suggest confusion may enhance the learning of complex topics.  Another is that they generate a sense of skepticism over reported events.  
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