Intuition

A looking after; a regard to.

Direct apprehension or cognition; immediate knowledge, as in perception or consciousness; -- distinguished from "mediate" knowledge, as in reasoning; as, the mind knows by intuition that black is not white, that a circle is not a square, that three are more than two, etc.; quick or ready insight or apprehension.

Any object or truth discerned by direct cognition; especially, a first or primary truth.

instinctive knowing (without the use of rational processes)

an impression that something might be the case; "he had an intuition that something had gone wrong"