"Danger lies not in what we don't know but in what we think we know that just ain't so."
The problem of the parable of the Gordian Knot is that it's stated badly: We have a knot that nobody can untie, and Alexander solves the problem by cutting the knot.
When I encountered that parable (in a book about management theory, as it happens), I thought the meaning was obvious: Alexander was a man with a sword, and to a man with a sword everything looks like -- well, something you cut. He had either been frustrated by the task, or had thought it was silly, but he clearly didn't take it seriously.
As I read on, though, it became clear to me that I was supposed to see cutting the knot as a good thing. It was an example of "lateral thinking."
Here's the thing: Anybody can change the rules. It's not hard. The real question is this: What's more important, the rules or the solution?
One way of looking at it: people who are ends-focused will cut the knot. People who are means-focused will try to untie it.
Another way: people who value the integrity of the rope will untie the knot. People who don't care about it will cut it.
I usually prefer to be left with as much sound, un-frayed rope as possible.