I'm about a third way through Elizabeth Lloyd Mayer's book, Extraordinary Knowing - Science, Skepticism, and the Inexplicable Powers of the Human Mind.
She justifies the title, "Extraordinary Knowing," in the first 60+ pages of the book, detailing stories of inexplicable knowings from a multitude of people, many of them in the medical field. Two of these stories stand out in my mind:
One, a world-renowned neurosurgeon, called upon to operate on heads of state, never loses a patient, even in the riskiest surgery. His secret? He does not operate until he sees white light around the patient's head. He may sit for a few minutes, or a few hours, at the bedside of the patient. Only when he sees the white light does he believe it's safe to operate. He never shares this with his students or colleagues, because he doesn't want them to believe he's crazy.
The second example involves a poker player who always wins. He admitted to the author in a private interview that he "knows" what the other poker players are holding in their hands. It has nothing to do with keeping track of where the cards are. He said it is like he can see their hands. The info, the "knowing," gets downloaded without any understanding of how it happens. Over time his card "skills" became famous, with a huge following. One day the "knowing" stopped coming, leaving in the same mysterious way it first appeared. That same day he stopped playing poker.