@Kit, I think actually that this one is an exception since -minded (according to macmillan) is "used with some adjectives and adverbs to make adjectives describing the way someone thinks or their attitude to life" and from all other -minded entries: absent-, bloody-, broad-, close-, fair-, feeble-, high-, like-, narrow-, open-, right-, simple-, single-, small-, strong-, tough-, weak-, literal ... More @Wikipedia
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