The Collaborative International Dictionary of English v.0.48:

High-minded \High"-mind"ed\, a.
   1. Proud; arrogant. [Obs.]
      [1913 Webster]

            Be not high-minded, but fear.         --Rom. xi. 20.
      [1913 Webster]

   2. Having, or characterized by, honorable pride; of or
      pertaining to elevated principles and feelings;
      magnanimous; -- opposed to mean.
      [1913 Webster]

            High-minded, manly recognition of those truths. --A.
                                                  Norton.
      [1913 Webster]

WordNet (r) 3.0 (2006):

high-minded
    adj 1: of high moral or intellectual value; elevated in nature
           or style; "an exalted ideal"; "argue in terms of high-
           flown ideals"- Oliver Franks; "a noble and lofty
           concept"; "a grand purpose" [syn: exalted, elevated,
           sublime, grand, high-flown, high-minded, lofty,
           rarefied, rarified, idealistic, noble-minded]

Moby Thesaurus II by Grady Ward, 1.0:

84 Moby Thesaurus words for "high-minded":
   Christian, big, bighearted, blameless, chivalrous, clean,
   creditable, decent, elevated, erect, estimable, ethical, exalted,
   fair, full of integrity, generous, good, great, great of heart,
   greathearted, handsome, heroic, high, high-flown, high-headed,
   high-nosed, high-principled, high-toned, highfalutin, highfaluting,
   highly respectable, honest, honorable, idealistic, immaculate,
   inviolate, irreproachable, just, knightly, largehearted,
   law-abiding, law-loving, law-revering, liberal, lofty, magnanimous,
   manly, moral, noble, noble-minded, openhanded, princely,
   principled, pure, reputable, respectable, right, right-minded,
   righteous, spotless, stainless, sterling, sublime, true-dealing,
   true-devoted, true-disposing, true-souled, true-spirited,
   truehearted, unblemished, uncorrupt, uncorrupted, undefiled,
   unimpeachable, unspotted, unstained, unsullied, untarnished,
   upright, uprighteous, upstanding, virtuous, worthy, yeomanly