authority of Homer; the conclusion that the maxim, 'Do good to your friends
and harm to your enemies,' being erroneous, could not have been the word of
any great man, are all of them very characteristic of the Platonic
Socrates.

...Here Thrasymachus, who has made several attempts to interrupt, but has
hitherto been kept in order by the company, takes advantage of a pause and
rushes into the arena, beginning, like a savage animal, with a roar.
'Socrates,' he says, 'what folly is this?--Why do you agree to be
vanquished by one another in a pretended argument?' He then prohibits all
the ordinary definitions of justice; to which Socrates replies that he
cannot tell how many twelve is, if he is forbidden to say 2 x 6, or 3 x 4,
or 6 x 2, or 4 x 3. At first Thrasymachus is reluctant to argue; but at
length, with a promise of payment on the part of the company and of praise
from Socrates, he is induced to open the game. 'Listen,' he says, 'my
answer is that might is right, justice the interest of the stronger: now
praise me.' Let me understand you first. Do you mean that because
Polydamas the wrestler, who is stronger than we are, finds the eating of
beef for his interest, the eating of beef is also for our interest, who are
not so strong? Thrasymachus is indignant at the illustration, and in
pompous words, apparently intended to restore dignity to the argument, he
explains his meaning to be that the rulers make laws for their own
interests. But suppose, says Socrates, that the ruler or stronger makes a
mistake--then the interest of the stronger is not his interest.
Thrasymachus is saved from this speedy downfall by his disciple Cleitophon,
who introduces the word 'thinks;'--not the actual interest of the ruler,
but what he thinks or what seems to be his interest, is justice. The
contradiction is escaped by the unmeaning evasion: for though his real and
apparent interests may differ, what the ruler thinks to be his interest
will always remain what he thinks to be his interest.