This character has some form of precognitive powers that he/she uses in the story.

Precognition refers to perception that involves the acquisition or effect of future information that cannot be deduced from presently available and normally acquired sense-based information or laws of physics and/or nature. The related terms, premonition and presentiment refer to information about future events that is perceived as emotions.

The terms are usually used to denote a seemingly parapsychological or extrasensory process of perception, including clairvoyance.