Why Socrates Never Gives Up on Virtue

Socrates believes that through constant inquiry, he has some hope of reaching true wisdom. For him, vice and wrong doing are always the result of ignorance. In seeking knowledge of virtue, socrates can take himself to be seeking virtue itself. He argues for this in other ways too - anything good or beneficial will be useless if used without knowledge. But there's no reason to deny his beliefs about virtue are deeply fallible.