Gordius, the King of Phrygia, once tied a knot that no one could untie. It was said that he who solved the riddle of the Gordian Knot would rule all of Asia. So along comes Alexander the Great, who chops the knot to bits with his sword. Just a little different interpretation of the requirements, that's all… and he did end up ruling most of Asia.
Such is the introduction to a truly insightful section of the book The Pragmatic Programmer. The ideas presented in this section, like many great software engineering principles, expand beyond the realm of programming.
Programming in any existing language requires clarity of thought. One significant component of that is the removal (or at least, verification of) assumptions. This idea is equally applicable to any problem we might face in the "real world." When trying to solve such a problem, assumptions can really be the enemy:
If the "box" is the boundary of constraints and conditions, then the trick is to find the box, which may be considerably larger than you think.
The key to solving puzzles is both to recognize the constraints placed on you and to recognize the degrees of freedom you do have, for in those you'll find your solution...
It's not whether you think inside the box or outside the box. The problem lies in finding the box - identifying the real constraints.
This really resonated with me. When given a problem, we are almost never given the full set of real constraints. Most constraints are assumed or imagined, leading us to believe we have a much smaller box. This leads to potentially less effective (and certainly less innovative) solutions.
So what should we do? The authors continue:
When faced with an intractable problem, enumerate all the possible avenues you have before you. Don't dismiss anything, no matter how unusable or stupid it sounds.
This isn't so ground-breaking. It's basically the idea of "brainstorming" that we all learned in elementary school. But the authors go a step further:
Now go through the list and explain why a certain path cannot be taken. Are you sure? Can you prove it?
This step is where I know I have failed in the past. I can generate a list of fantastical ideas, but I know I have been too quick to prune some of the more outlandish ones.
I won't make that mistake again.