Fresh Thinking On An Old Problem - Is It Possible?

We all have issues that go round our head, things that we worry about or ideals that we feel we need to live up to. Sometimes, it feels if we were to let that go, we would be being irresponsible or not doing our best.  When we've seen something a certain way for a long time, it feels crazy to us that there is an entirely new perspective available to us - to us, it just seems 'that's the way it is.'  When we get fresh thinking, it is often quite suprising to us, it always leads us to a new perspective, even on an old problem - but is it really possible?