A. Justice as Mean
To a modern reader, the most remarkable feature of Aristotle's account is that he presents corrective and distributive justice as different mathematical operations. Justice, both corrective and distributive, involves the achievement of to isont which in Greek signifies both fairness and equality. In Aristotle's account, fairness as a norm is inseparable from equality as a mathematical function.
Aristotle's conception of corrective and distributive justice as mathematical operations arises out of his general treatment of ethics. For Aristotle, ethics is the study of virtues considered as excellences of character. Just as nothing felicitously can be added to or taken from an excellent work, so excellence of character involves the absence of both excess and deficiency.3 Aristotle analyzes virtues as intermediate states, or means, which lie between vices that are deficiencies or excesses relative to that mean. Courage, for instance, lies between the deficiency of cowardice and the excess of recklessness. Similarly, temperance lies between profligacy and insensibility, generosity between prodigality and stinginess, gendeness between irascibility and apathy, wittiness between buffoonery and boorishness, and so on.
Aristotle begins his account of justice by asking how justice fits into the analysis of virtue as a mean.4 The difficulty is that justice has a different orientation than other virtues. While other virtues are excellences of character internal to the virtuous person, jusĆ¼ce is directed ātowards anotherā (pros allori).5 Its reference is not internal but external; it looks not to the perfection of oneās moral being but to the terms of oneās interaction with others.6 Whereas virtue is oneās own good, ājustice seems to be the good of someone else.ā7 Given this external focus, how is justice a mean?
One answer is that the external focus changes nothing. Even virtues that are primarily concerned with character have external effects. To use Aristotleās examples, the coward who deserts in battle and the rake who commits adultery8 not only evince defects of character but cause harm to others. The virtues come within the purview of justice once they are regarded from an interpersonal point of view.9 Justice so conceived is virtue practised toward others. Because adding the external perspective of justice does not change the nature of virtue, the analysis in terms of means is unaffected. Here, justice is coextensive with virtue.
This, however, is not the entire answer. Aristotle recognizes that not all issues of justice involve external effects of character. The other- directedness of justice figures also in controversies concerning oneās holdingsāwealth, honor, and security are Aristotleās examples.10 An excess or deficiency in oneās holdings can be unjust quite apart from any vice of character.11 Indeed, being deprived of oneās due is not the exhibition of a dispositional vice at all, but the suffering of a wrong.
When expressed in terms of mean, excess, and deficiency, judgments about vices differ from judgments about unjust holdings. Judgments about vices invoke a spectrum of a single personās attributes. A reckless person, for instance, exhibits too much (and a coward too little) of the emotion which, if exhibited in proper measure, would make that very person courageous. Excess or deficiency in holdings, however, is interpersonal. The holdings of any one person can be termed āexcessiveā only through comparison with the holdings of another. So whereas the excess and deficiency of vice is compared to a dispositional mean, the excess or deficiency of an unjust holding reflects the holdings or the actions of others.
Accordingly, if justice in holdings is to be conceived as a mean, that mean must refer not to a person considered singly, but to a relationship between different persons. Aristotle identifies equality as the mean of justice.12 Equality is a relational concept, because something is equal, not to itself, but only to something else.13 Aristotle remarks that ājustice is a kind of mean, not in the same way that the other virtues are, but because it belongs to the middle, whereas injustice belongs to the extremes.ā14 Just action lies between the doing and the suffering of injustice, as an equality intermediate to the excess and deficiency on either side of it. To do injustice is to have, compared to the victim of injustice, too much of what is beneficial or too little of what is harmful. Conversely, to suffer injustice is to have too much of what is harmful or too little of what is beneficial.
Justice in holdings is a mean not between vices, but between an excess or deficiency against a baseline of equality. To have just holdings is to have neither too much nor too little in comparison with others. Because it relates one thing to another, equality reflects the purely external orientation of justice in holdings.
Thus, although Aristotle sees both justice in holdings and the justice that is co-extensive with virtue as other-directed, he draws a crucial distinction between them. In the justice that is co-extensive with virtue, equality plays no role: the external standpoint is merely grafted onto a virtue already intelligible in terms of a single person. In contrast, equality is the defining feature of justice in holdings, because justice in holdings is intrinsically other-directed. Thus, the intelligibility of justice in holdings lies in grasping the nature of the relationship between the interacting parties.
Aristotleās account of justice in holdings assimilates three ideas: justice, equality, and the mean. Aristotle encapsulates the function of these ideas in his remark that āqua mean, it is between certain things (these are the more and the less); qua equal, it links two; qua just, it applies to certain persons.ā15 The last member of this triptych defines the domain of justice: because justice is other-directed and therefore relational, the just applies to a plurality of persons, rather than to a person considered singly. The middle member sums up the formal principle that organizes this domain: because equality involves an ordering of (at least) two terms, it can represent the structure of just relationships. The first member distinguishes justice from injustice: justice is a mean that lies intermediate to the injustices that consist in having more or having less than oneās equal share.
Aristotleās identification of justice in holdings with equality does not imply that everyoneās holdings ought to be the same in quantity or value. His point is formal. Like equality, justice in holdings orders the relationship between distinct entities; like equality, justice in holdings is disturbed by excess or shortfall. In maintaining that in every just arrangement the parties are equals, Aristotle is not committed to any particular criterion of equality or to any particular set of holdings.
B. Distributive and Corrective Justice
The idea of equality allows Aristotle to describe justice in holdings as mathematical operations. Justice functions for holdings as equality functions for mathematical terms. In mathematics, equality relates one term to another through an equal sign. The specific arrangement of the terms on either side of an equal sign, however, depends on the mathematical operation being performed. Just as different mathematical operations link various elements in different ways, so justice in holdings has different ways of ordering the relations among persons. Aristotle calls these different modes of ordering the āformsā16 of justice.
Justice in holdings assumes two contrasting forms: distributive justice and corrective justice. Each of these forms regulates holdings through a different mathematical operation. Injustice consists in having more or less than the equal allotment due under one or the other of these mathematical operations.
In introducing the two forms of justice, Aristotle remarks that distributive justice occurs āin distributionsā and corrective justice occurs āin transactions.ā17 āDistributionsā and ātransactionsā are general terms that refer to all the particular manifestations of the two forms of justice. A transaction is an interaction regulated in conformity to corrective justice. Similarly, a distribution is an arrangement that has the structure of distributive justice. Distributive and corrective justice are āinā distributions and transactions as the modes of ordering implicit in legal arrangements.
Distributive justice divides a benefit or burden in accordance with some criterion. An exercise of distributive justice consists of three elements: the benefit or burden being distributed, the persons among whom it is distributed, and the criterion according to which it is distributed. The criterion...