For example: (1) one of the noblest statements to be found in antiquity
about the preventive nature of punishment is put into his mouth; (2) he
is clearly right also in maintaining that virtue can be taught (which
Socrates himself, at the end of the Dialogue, is disposed to concede);
and also (3) in his explanation of the phenomenon that good fathers have
bad sons; (4) he is right also in observing that the virtues are not
like the arts, gifts or attainments of special individuals, but the
common property of all: this, which in all ages has been the strength
and weakness of ethics and politics, is deeply seated in human nature;
(5) there is a sort of half-truth in the notion that all civilized men
are teachers of virtue; and more than a half-truth (6) in ascribing
to man, who in his outward conditions is more helpless than the other
animals, the power of self-improvement; (7) the religious allegory
should be noticed, in which the arts are said to be given by Prometheus
(who stole them), whereas justice and reverence and the political
virtues could only be imparted by Zeus; (8) in the latter part of the
Dialogue, when Socrates is arguing that 'pleasure is the only good,'
Protagoras deems it more in accordance with his character to maintain
that 'some pleasures only are good;' and admits that 'he, above all
other men, is bound to say "that wisdom and knowledge are the highest of
human things."'
There is no reason to suppose that in all this Plato is depicting an
imaginary Protagoras; he seems to be showing us the teaching of the
Sophists under the milder aspect under which he once regarded them.
Nor is there any reason to doubt that Socrates is equally an historical
character, paradoxical, ironical, tiresome, but seeking for the unity
of virtue and knowledge as for a precious treasure; willing to rest this
even on a calculation of pleasure, and irresistible here, as everywhere
in Plato, in his intellectual superiority.
The aim of Socrates, and of the Dialogue, is to show the unity of
virtue. In the determination of this question the identity of virtue and
knowledge is found to be involved. But if virtue and knowledge are
one, then virtue can be taught; the end of the Dialogue returns to the
beginning. Had Protagoras been allowed by Plato to make the Aristotelian
distinction, and say that virtue is not knowledge, but is accompanied
with knowledge; or to point out with Aristotle that the same quality may
have more than one opposite; or with Plato himself in the Phaedo to deny
that good is a mere exchange of a greater pleasure for a less--the unity
of virtue and the identity of virtue and knowledge would have required
to be proved by other arguments.