And he shall judge the world. The "he" is emphatic—he himself, and no other. From his throne of judgment he shall judge, not Israel's enemies only, whom he has just judged (Psalms 9:3-6), but the whole world.
In righteousness; i.e. by a strict law of justice, rewarding to all men "after their deserving." He shall minister judgment to the people (rather, the peoples; i.e. all the people of all the earth) in uprightness; literally, in uprightnesses—a plural of perfection.