That's the beauty of intuition - just the unconcious mind doing stuff for you and then waving a flag for you to notice i.e. out of the blue. I still think there is a logic to it, you are just not conciously applying it.
I was thnking in particular of logic and intuition in mathmatics. In a lot of ways I am an intuitive mathmatician, just arriving at a solution and knowing when it is the right one without really understanding how I know. But if I take time to delve into it I can see the logic of it. Maybe my theory does not apply so much in other cases. Dunno. Seems logical to me

I wonder if we can foster this ability? I often try, with tricky problems, to not think about it. Usually this works really well. I just say "brain, work it out", and the answer pops up later in the day, or in the middle of the night. I wonder if this is the same thing as intuition though..hmmmm