1. 
[syn: unshockable, broad-minded]
2.  inclined to respect views and beliefs that differ from your own; 
- Example: "a judge who is broad-minded but even-handed"
The Collaborative International Dictionary of English v.0.48:
broad-minded \broad-minded\ adj.
   1. incapable of being shocked. Opposite of shockable.
   Syn: unshockable.
        [WordNet 1.5]
   2. inclined to respect views and beliefs that differ from
      one's own. Opposite of narrow-minded. [Narrower terms:
      free-thinking, latitudinarian, undogmatic, undogmatical]
   Syn: broadminded, broad, liberal, tolerant, open-minded,
        open.
        [WordNet 1.5]
WordNet (r) 3.0 (2006):
broad-minded
    adj 1: incapable of being shocked; "he was warmhearted, sensible
           and unshockable" [syn: unshockable, broad-minded]
           [ant: narrow-minded, shockable]
    2: inclined to respect views and beliefs that differ from your
       own; "a judge who is broad-minded but even-handed" [ant:
       narrow, narrow-minded]