Besides delusion, I think there may be another explanation for the phenomena of premonition people are reporting in this thread. I haven't a clue whether or not this concept has any scientific basis or not, and I'm honestly not bothered enough to check, but it seems logical enough in my mind, so I'll put it down here. It's also tl;dr btw
It's commonly known that in general, children have far more fantastical dreams than adults do. As one approaches maturity, dreams shed many of their abstract and/or fantastical qualities, and take on a more "practical" - though not necessarily any less surreal - temperament - one's mind adapts to the strains and pressures of adult life, and one's dreams, being commonly theorized as a preparation or "training method" as they are, become more relevant to the real-life situations that one now finds oneself in.
It would be logical to suggest that during puberty and/or early adulthood there remains a "transition period" between the two general states of dream focus.
A summary: Pre- and mid-pubescence, one generally has more fantastical dreams than one does during full maturity, as during such maturity, the focus of one's mind shifts to real-life issues, and one's dreams do also.
My hypothesis is thus: Prior to maturity, one is generally unused to having dreams that have direct relevance to real-life issues. When one enters the transition period, one begins experiencing dreams that do have such relevance. As one within the transition period is unused to having dreams that are relevant to real life, such dreams stand out as being vivid and when similar circumstances to those that appeared in the dream appear in real life, the dreams take on a mystic quality due to the similarity of the events - when really you're only experiencing deja-vu. As one reaches full maturity, one becomes used to such dreams, and they lose their perceived importance.
To illustrate, I shall reverse the scenario at hand:
A young man has had dreams relevant to his everyday life for the entire time that he has lived. After every few nights, he recalls a dream that he had. There are elements of the dream that match up with his daily routine. There may also be surreal elements to the dream. The dream may be hazy or vivid, but is never recalled with absolute clarity. I think we can all agree up to this point of the example.
When he approaches late adolescence, the young man begins to get the most bizarre and surreal dreams. They may still be hazy or vivid; they are still never recalled with absolute clarity. What would he think?
I think he'd think he was going mad.
And I don't think that that thought is any different to thinking that one can predict the future - a positive response and a negative response are nearly the same thing, it's the intensity in response that matters.