Socrates proceeds to discover the nature of justice by a method of
residues. Each of the first three virtues corresponds to one of the
three parts of the soul and one of the three classes in the State,
although the third, temperance, has more of the nature of a harmony
than the first two. If there be a fourth virtue, that can only be
sought for in the relation of the three parts in the soul or classes in
the State to one another. It is obvious and simple, and for that very
reason has not been found out. The modern logician will be inclined to
object that ideas cannot be separated like chemical substances, but
that they run into one another and may be only different aspects or
names of the same thing, and such in this instance appears to be the
case. For the definition here given of justice is verbally the same as
one of the definitions of temperance given by Socrates in the
Charmides, which however is only provisional, and is afterwards
rejected. And so far from justice remaining over when the other virtues
are eliminated, the justice and temperance of the Republic can with
difficulty be distinguished. Temperance appears to be the virtue of a
part only, and one of three, whereas justice is a universal virtue of
the whole soul. Yet on the other hand temperance is also described as a
sort of harmony, and in this respect is akin to justice. Justice seems
to differ from temperance in degree rather than in kind; whereas
temperance is the harmony of discordant elements, justice is the
perfect order by which all natures and classes do their own business,
the right man in the right place, the division and co-operation of all
the citizens. Justice, again, is a more abstract notion than the other
virtues, and therefore, from Plato’s point of view, the foundation of
them, to which they are referred and which in idea precedes them. The
proposal to omit temperance is a mere trick of style intended to avoid
monotony.
There is a famous question discussed in one of the earlier Dialogues of
Plato (Protagoras; Arist. Nic. Ethics), ‘Whether the virtues are one or
many?’ This receives an answer which is to the effect that there are
four cardinal virtues (now for the first time brought together in
ethical philosophy), and one supreme over the rest, which is not like
Aristotle’s conception of universal justice, virtue relative to others,
but the whole of virtue relative to the parts. To this universal
conception of justice or order in the first education and in the moral
nature of man, the still more universal conception of the good in the
second education and in the sphere of speculative knowledge seems to
succeed. Both might be equally described by the terms ‘law,’ ‘order,’
‘harmony;’ but while the idea of good embraces ‘all time and all
existence,’ the conception of justice is not extended beyond man.