Please define what "standard definition" you are using.
I used to use an old student edition of Webster's, given to me by a late friend when I graduated.
Today I just visit dictionary.com.
Here is a copy of the definition of "Justice" that they have:
noun
1.
the quality of being just; righteousness, equitableness, or moral rightness:
to uphold the justice of a cause.
2.
rightfulness or lawfulness, as of a claim or title; justness of ground or reason:
to complain with justice.
3.
the moral principle determining just conduct.
4.
conformity to this principle, as manifested in conduct; just conduct, dealing, or treatment.
5.
the administering of deserved punishment or reward.
6.
the maintenance or administration of what is just by law, as by judicial or other proceedings:
a court of justice.
7.
judgment of persons or causes by judicial process:
to administer justice in a community.
Idioms
bring to justice, to cause to come before a court for trial or to receive punishment for one's misdeeds:
The murderer was brought to justice.
do justice, a.to act or treat justly or fairly.
b.to appreciate properly:
We must see this play again to do it justice.
to acquit in accordance with one's abilities or potentialities:
He finally got a role in which he could do himself justice as an actor.
