One states as axioms several properties that it would seem natural for the solution to have and then one discovers that the axioms actually determine the solution uniquely. The two approaches to the problem, via the negotiation model or via the axioms, are complementary; each helps to justify and clarify the other.
John Forbes NashRelated topics
complementary model natural negotiation problem several solution via approaches statesRelated quotes
Although the problem of transmuting chemical elements into each other is much older than a satisfactory definition of the very concept of chemical element, it is well known that the first and most important step towards its solution was made only nineteen years ago by the late Lord Rutherford, who started the method of the nuclear bombardments.
Enrico Fermi
It is natural that people do not want to be involved with us too much. There is no problem down to the smallest egotistical longing which the Gestapo cannot solve. Regarded in this way we are, if a joke is permitted, looked upon as a cross between a general maid and the dustbin of the Reich.
Reinhard Heydrich
My solution to the problem would be to tell [the North Vietnamese Communists] frankly that they've got to draw in their horns and stop their aggression or we're going to bomb them into the Stone Age. And we would shove them back into the Stone Age with Air power or Naval power-not with ground forces.
Curtis LeMay
The mere formulation of a problem is far more often essential than its solution, which may be merely a matter of mathematical or experimental skill. To raise new questions, new possibilities, to regard old problems from a new angle requires creative imagination and makres real advances in science.
Albert Einstein
