Non-linear relationship b/ween improvements in your understanding of a prob and your ability to address it

In relation to my last post...

I think we also tend to assume that, if you understood a problem better, then your idea of how to best address it would simply be a better, improved version of your existing idea of how to address it.

But I think that's wrong. A better understanding can lead you to a radically different notion of how to address the problem.