Websters defines justice thusly
Etymology: Middle English, from Anglo-French justise, from Latin justitia, from justus
Date: 12th century
1 a : the maintenance or administration of what is just especially by the impartial adjustment of conflicting claims or the assignment of merited rewards or punishments b : judge c : the administration of law; especially : the establishment or determination of rights according to the rules of law or equity
2 a : the quality of being just, impartial, or fair b (1) : the principle or ideal of just dealing or right action (2) : conformity to this principle or ideal : righteousness c : the quality of conforming to law
3 : conformity to truth, fact, or reason : correctness
A havard professor is teaching a course on Justice...and it's fascinating.
He poses some hard and interesting scenarios. There are episodes of the various class discussions online.
It makes for very interesting watching.