The power of thought is strange. I happen to have this ability as well. That's mainly why I'm still employed.
A couple of years ago, we originally had a 4 man team. 3 of those guys left, leaving me (the junior dev) to deal with the whole platform.
I didn't have any time for error, but I didn't know a darn thing. I did, however, had the ability of the "hunch". Basically, when a problem happened, instead of opening the text editor and looking for the problem, I just stood back and thought about it. I'm not sure what I'm thinking about. Its strange. Its like my brain just traverses through the infrastructure and comes up with the LOGICAL solution. Once I get that answer, I then go look at the code base. 99% of the time, its my hunch that finds the problem.
I amaze myself all the times with this. To me its just logic, but I'm sure its something more. I'll probably never figure it out, but that's not to my detriment.
This also helps with writing new applications, because you already know what will work and what won't before you get there. Its, craziness!!