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Proofs

Books:

How to Solve It describes the following common and simple heuristics:

  • If you are having difficulty understanding a problem, try drawing a picture.
  • If you can’t find a solution, try assuming that you have a solution and seeing what you can derive from that (“working backward”).
  • If the problem is abstract, try examining a concrete example.
  • Try solving a more general problem first (the “inventor’s paradox”: the more ambitious plan may have more chances of success).

Polya advises: “If you can’t solve a problem, then there is an easier problem you can solve: find it.”

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Page last modified on October 31, 2006, at 04:21 PM