IF you can track down the "sneaker on a ledge" example, it would provide the white-crow case you are talking about. There are probably many others which would stand up to pretty close analysis. It might be fun for you to explore the literature -- some of it is quite disciplined.
The jury is till OOB on this whole issue of man's fundamental nature, and how awareness of higher orders occurs. My apologies if I seemed to be shoving one particular perspective excessively. There's an awful lot of data out there that cannot be allowed into the scientific lists, because it is experiential data. I think this is a shame, and to a degree is actually bad science even though it is an effort at rigor. Maybe it depends on how you define rigor -- in other words, carefully including only repeatable data certainly rules out anything as dynamic and volatile as the life of the mind (or the human spirit, if you allow such talk).