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Aristotle's Ethics
Book VIII.

ing the sentiment is the Excellence of friends; and so, in whomsoever this exists in due proportion these are stable friends and their Friendship is permanent. And in this way may they who are unequal best be friends, 1159b because they may thus be made equal.

Equality, then, and similarity are a tie to Friendship, and specially the similarity of goodness, because good men, being stable in themselves, are also stable as regards others, and neither ask degrading services nor render them, but, so to say, rather prevent them: for it is the part of the good neither to do wrong themselves nor to allow their friends in so doing.

The bad, on the contrary, have no principle of stability: in fact, they do not even continue like themselves: only they come to be friends for a short time from taking delight in one another's wickedness. Those connected by motives of profit, or pleasure, hold together somewhat longer: so long, that is to say, as they can give pleasure or profit mutually.

The Friendship based on motives of profit is thought to be most of all formed out of contrary elements: the poor man, for instance, is thus a friend of the rich, and the ignorant of the man of information; that is to say, a man desiring that of which he is, as it happens, in want, gives something else in exchange for it. To this same class we may refer the lover and beloved, the beautiful and the ill-favoured. For this reason lovers sometimes show in a ridiculous light by claiming to be the objects of as intense a feeling as they themselves entertain: of course if they are equally fit objects of Friendship they are perhaps entitled to claim this, but if they have nothing of the kind it is ridiculous.

Perhaps, moreover, the contrary does not aim at its contrary for its own sake but incidentally: the mean is really what is grasped at; it being good for the dry, for instance, not to become wet but to attain the mean, and so of the hot, etc.