In both senses, however, justice concerns our behaviour to some one else: and it thus stands apart from the other virtues, as (essentially and in its first character) seeking another's good--not the good of the agent himself (I.).
The first kind of justice, which includes all virtue, called Universal Justice, being set aside, the enquiry is reduced to the Particular Justice, or Justice proper and distinctive.

Of this there are two kinds, Distributive and Corrective (II.).

Distributive Justice is a kind of equality or proportion in the distribution of property, honours, &c., in the State, according to the merits of each citizen; the standard of worth or merit being settled by the constitution, whether democratic, oligarchic, or aristocratic (III.).

Corrective, or Reparative Justice takes no account of persons; but, looking at cases where unjust loss or gain has occurred, aims to restore the balance, by striking an arithmetical mean (IV.).

The Pythagorean idea, that Justice is Retaliation, is inadequate; proportion and other circumstances must be included.