The term 'more high-minded' can be described by two crossword solutions: 'NOBLER' (6 letters) and 'LOFTIER' (7 letters). NOBLER is an adjective that means having or showing fine personal qualities or high moral principles and ideals. LOFTIER is an adjective that means of very high quality or rank, or having a noble or elevated nature. Both words imply a sense of superiority and suggest that the person or thing being described is of a higher caliber than others.