George Pólya - How to Solve It - 1945

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Created: June 11, 2016 / Updated: February 6, 2021 / Status: in progress / 2 min read (~265 words)

  • Analogy
  • Auxiliary elements: An element that we introduce in the hope that it will further the solution
  • Bright idea
  • Can you check the result?
  • Can you derive the result differently?
  • Can you use the result?
  • Carrying out
  • Condition
  • Contradictory
  • Corollary
  • Could you derive something useful from the data?
  • Could you restate the problem?
  • Decomposition and recombining
  • Definition
  • Determination, hope, success
  • Diagnosis
  • Did you use all the data?
  • Do you know a related problem?
  • Draw a figure
  • Examine your guess
  • Figures
  • Generalization
  • Have you seen it before?
  • Here is a problem to yours and solved before
  • Heuristic
  • Heuristic reasoning
  • If you cannot solve the proposed problem
  • Induction and mathematical induction
  • Inventor's paradox
  • Is it possible to satisfy the condition?
  • Lemma
  • Look at the unknown
  • Modern heuristic
  • Notation
  • Pedantry and mastery
  • Practical problems
  • Problems to find, problems to prove
  • Progress and achievement
  • Puzzles
  • Reductio ad absurdum and indirect proof
  • Redundant
  • Routine problem
  • Rule of discovery
  • Rule of style
  • Rule of teaching
  • Separate the various parts of the condition
  • Setting up equations
  • Signs of progress
  • Specialization
  • Subconscious work
  • Symmetry
  • Terms, old and new
  • Test by dimension
  • Variation of the problem
  • What is the unknown?
  • Working backwards