Is virtue teachable?
First, what is virtue?
In Homer the idea of human excellence is close to military excellence, both in combative skills and leadership. To hit the mark is literally human excellence, or virtue. In our Judeo-Christian culture, the mark is set by God. Hence the idea of sin, literally missing the mark, is universal. However, apart from that tradition, one has to first define your terms. What is virtue? (Without using virtue or a part of virtue in the answer or definition.)
An excellent introduction to epistemology.
Socrates seems to believe there is value in discussing the question. We don’t come to an “answer” necessarily, but perhaps in the dialectic, the ‘through-speaking’, we gain in understanding of the human condition.