Some of Socrates' assumptions about

A. Virtue includes virtuous action as well as virtuous character

B. Virtue requires knowledge of what virtue is, i.e., wisdom. (V --> K)

C. Knowledge of what virtue is, or wisdom, is sufficient for virtue itself. (K --> V)

D. Knowledge requires being able to give an account (a logos).

E. Only knowledge (or wisdom) can be taught. (Meno 87c)

Is virtue teachable?

If virtue is knowledge or wisdom (as Socrates presumes),

then the answer is yes.

However:

There is a problem with the assumption that it is teachable:

WHO are the teachers of virtue? The Sophists?

Anytus: "I don't think so"

(an opinion with which Socrates and Plato apparently agree).

Socrates says he has been unable to find a teacher of virtue.