"A problem is a difference between things as desired and things as perceived. […] Seen in this way, the problem could be solved either by changing desires or changing perceptions." (Donald C Gause & Gerald M Weinberg, "Are Your Lights On?", 2011)
"As a practical matter, it is impossible to define natural,
day-to-day problems in a single, unique, totally unambiguous fashion. On the
other hand, without some common understanding of the problem, a solution will almost
invariably be to the wrong problem."
"Don't mistake a solution method for a problem definition - especially if it’s your own solution method." (Donald C Gause & Gerald M Weinberg, "Are Your Lights On?", 2011)
"Each solution is the source of next problem. We never get
rid of problems. Problems, solutions, and new problems weave an endless chain.
The best we can hope for is that the problems we substitute are less troublesome
than the ones we 'solve'."
"If you can’t think of at least three things that might be
wrong with your understanding of the problem, you don’t understand the problem."
"Much of what has traditionally been called 'problem-solving' is, in reality, puzzle solving. A puzzle is difficult
by design - but that difficulty implies a designer."
"The fledgling problem solver invariably rushes in with solutions before taking time to define the problem being solved. Even experienced solvers, when subjected to social pressure, yield to this demand for haste. When they do, many solutions are found, but not necessarily to the problem at hand."
"The really important thing in dealing with problems is to know that the question is never answered, but that it doesn't matter, as long as you keep asking. It's only when you fool yourself into thinking you have the final problem definition - the final, true answer - that you can be fooled into thinking you have the final solution. And if you think that, you're always wrong, because there is no such thing as a 'final solution'." (Donald C Gause & Gerald M Weinberg, "Are Your Lights On?", 2011)
"Wherever possible, we initially place the problem in the semantic level that lends us the most comfort." (Donald C Gause & Gerald M Weinberg, "Are Your Lights On?", 2011)
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