The Collaborative International Dictionary of English v.0.48:

Remote \Re*mote"\ (r?-m?t"), a. [Compar. Remoter (-?r);
   superl. Remotest.] [L. remotus, p. p. of removere to
   remove. See Remove.]
   1. Removed to a distance; not near; far away; distant; --
      said in respect to time or to place; as, remote ages;
      remote lands.
      [1913 Webster]

            Places remote enough are in Bohemia.  --Shak.
      [1913 Webster]

            Remote from men, with God he passed his days.
                                                  --Parnell.
      [1913 Webster]

   2. Hence, removed; not agreeing, according, or being related;
      -- in various figurative uses. Specifically:
      (a) Not agreeing; alien; foreign. "All these propositions,
          how remote soever from reason." --Locke.
      (b) Not nearly related; not close; as, a remote connection
          or consanguinity.
      (c) Separate; abstracted. "Wherever the mind places itself
          by any thought, either amongst, or remote from, all
          bodies." --Locke.
      (d) Not proximate or acting directly; primary; distant.
          "From the effect to the remotest cause." --Granville.
      (e) Not obvious or sriking; as, a remote resemblance.
          [1913 Webster]

   3. (Bot.) Separated by intervals greater than usual.
      [1913 Webster] -- Re*mote"ly, adv. -- Re*mote"ness, n.
      [1913 Webster]

WordNet (r) 3.0 (2006):

remoteness
    n 1: the property of being remote [syn: farness, remoteness,
         farawayness] [ant: closeness, nearness]
    2: a disposition to be distant and unsympathetic in manner [syn:
       aloofness, remoteness, standoffishness,
       withdrawnness]