I had a tangential insight recently. Your "best" isn't actually all you can do, because your idea of what your best is, is limited by your self-concept. Similarly, it is possible to do some things that are widely considered impossible.
From this it seems that the best strategy for doing impossible things is to assume that impossible things are actually possible. It's only by doing that that you'll find out.
It's a risky strategy though, since many things are actually impossible, and even for possible things, they may be difficult, or the easy way may be hard to discover.
Maybe there's some hueristic for sorting the actually possible, and from there, for sorting the reasonably doable.
But I'd be wary of hueristics because (barring unusual personal experience) they're likely to suffer from the same bias that led people to dismiss things as impossible in the first place.
From this it seems that the best strategy for doing impossible things is to assume that impossible things are actually possible. It's only by doing that that you'll find out.
It's a risky strategy though, since many things are actually impossible, and even for possible things, they may be difficult, or the easy way may be hard to discover.
Maybe there's some hueristic for sorting the actually possible, and from there, for sorting the reasonably doable.
But I'd be wary of hueristics because (barring unusual personal experience) they're likely to suffer from the same bias that led people to dismiss things as impossible in the first place.