 Neither of these lines of argument is immune from challenge.  As regards the former, one can argue that the examples that are typically advanced of cases where some evil is logically necessary for a greater good that outweighs the evil are not really, upon close examination, convincing, while, as regards the latter, there is a serious problem of making sense of libertarian free will, for although there is no difficulty about the idea of actions that are not causally determined, libertarian free will requires more than the mere absence of determinism, and the difficulty arises when one attempts to say what that something more is.