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?"
Read more about this topic: How To Solve It
Famous quotes containing the word principles:
“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)
“Only conservatives believe that subversion is still being carried on in the arts and that society is being shaken by it.... Advanced art today is no longer a cause—it contains no moral imperative. There is no virtue in clinging to principles and standards, no vice in selling or in selling out.”
—Harold Rosenberg (1906–1978)