I tend to be that kind of person as well-- so are both DH and DD, though with training all three of us can (mostly) tap into the discrete steps that are logical progressions of one another.

But it's rather like a proof construction at that point; we already GOT the answer, now we just need to convince everyone else that it's completely logical and not just whatever popped into my head-- even though technically that IS sort of how it works from my end of things.

LOL.

Schrödinger's cat walks into a bar. And doesn't.