The Collaborative International Dictionary of English v.0.48:

Intuitive \In*tu"i*tive\, a. [Cf. F. intuitif.]
   [1913 Webster]
   1. Seeing clearly; as, an intuitive view; intuitive vision.
      [1913 Webster]

   2. Knowing, or perceiving, by intuition; capable of knowing
      without deduction or reasoning.
      [1913 Webster]

            Whence the soul
            Reason receives, and reason is her being,
            Discursive, or intuitive.             --Milton.
      [1913 Webster]

   3. Received, reached, obtained, or perceived, by intuition;
      as, intuitive judgment or knowledge; -- opposed to
      deductive. --Locke.
      [1913 Webster]

WordNet (r) 3.0 (2006):

intuitive
    adj 1: spontaneously derived from or prompted by a natural
           tendency; "an intuitive revulsion"
    2: obtained through intuition rather than from reasoning or
       observation [syn: intuitive, nonrational, visceral]

Moby Thesaurus II by Grady Ward, 1.0:

52 Moby Thesaurus words for "intuitive":
   anticipant, anticipatory, augural, clairvoyant, direct, divinatory,
   farseeing, farsighted, feeling, forehanded, foreknowing,
   forerunning, foreseeing, foreshadowing, foreshowing, foresighted,
   forethoughted, forethoughtful, foretokening, forewarning,
   heavy with meaning, immediate, indicative, instinctual,
   intuitional, longsighted, meaningful, monitory, precognitive,
   precognizant, precursive, precursory, predictive, prefigurative,
   preindicative, premonitory, prepared, presageful, presaging,
   prescient, prognostic, prognosticative, provident, providential,
   prudent, ready, sagacious, second-sighted, sensing, significant,
   visceral, warning