The author replies to an earlier article by R G Frey, who argued that Socrates committed suicide, or self-murder, since he took his own life intentionally & voluntarily, although under duress. The current author aruges that although this is suicide in one sense of the term, it is not self-murder, which he claims involves killing oneself not only intentionally, but also unlawfully (with respect to a legal or moral code) & with malice.