The Collaborative International Dictionary of English v.0.48:

paranormal \par`a*nor"mal\ (p[a^]r`[.a]*n[^o]r"mal), adj.
   Of or pertaining to parapsychology; pertaining to forces or
   mental processes, such as extrasensory perception or
   psychokinesis, outside the possibilities defined by natural
   or scientific laws; as, paranormal phenomena.

   Syn: psychic, psychical, parapsycholological. [WordNet 1.5
        +PJC]

WordNet (r) 3.0 (2006):

paranormal
    adj 1: seemingly outside normal sensory channels [syn:
           extrasensory, paranormal] [ant: sensorial,
           sensory]
    2: not in accordance with scientific laws; "what seemed to be
       paranormal manifestations" [ant: normal]