More from Allan Bloom: On Morality
"The ambiguity of human life always requires that there be distinctions between good and bad, in one form or another. The great change is that a good man used to be the one who cares for others, as opposed to the man who cares exclusively for himself. Now the good man is the one who knows how to care for himself, as opposed to the man who does not.[emphasis mine]"
--Allan Bloom, The Closing of the American Mind
The first difference was on subject, content, direction, as in to whom one's efforts were directed, the milieu or the self. The second difference is one of ability, whether one can or not care for oneself. These appears to be on two different planes. Does this mean that the good man of antiquity doesn't know how to care for himself? In this sense then modern morality is much more widespread. One can be "good" as long as one acquires the ability to care for himself, regardless whether that ability is directed towards the milieu or just himself.
It's a dangerous and selfish world we live in...