Four Principles
How to Solve It suggests the following steps when solving a mathematical problem:
- First, you have to understand the problem.
- After understanding, then make a plan.
- Carry out the plan.
- Look back on your work. How could it be better?
If this technique fails, Pólya advises: "If you can't solve a problem, then there is an easier problem you can solve: find it." Or: "If you cannot solve the proposed problem, try to solve first some related problem. Could you imagine a more accessible related problem?"
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Famous quotes containing the word principles:
“The principles of the good society call for a concern with an order of being—which cannot be proved existentially to the sense organs—where it matters supremely that the human person is inviolable, that reason shall regulate the will, that truth shall prevail over error.”
—Walter Lippmann (1889–1974)
“I am not one of those who have the least anxiety about the triumph of the principles I have stood for. I have seen fools resist Providence before, and I have seen their destruction, as will come upon these again, utter destruction and contempt. That we shall prevail is as sure as that God reigns.”
—Woodrow Wilson (1856–1924)