Anomalous means that it cannot be explained through conventional knowledge. Cognition is the process of knowing. Whether intuition is extrasensory perception or tied to normal cognition, is a debate to this day. How it works, may never be known. But, there are many examples of intuition at work.
Most people have intuition, some choose to ignore it.
As I'm writing this, JFK Jr. and company have just been recovered from the sea. Several associated stories are now surfacing that describe his feeling of foreboding prior to his final flight. He expressed concern over his upcoming night flight and the fact that he had only been flying his Saratoga for a short time. This was his inner voice or intuition speaking to him. It was ignored for whatever reason and you know the outcome.