According to the Dilemma Defense, it is question-begging against the incompatibilist defender of the principle of alternative possibilities (PAP) to assume that the agent in a deterministic Frankfurt-style case (FSC) cannot do otherwise in light of causal determinism, but is nevertheless morally responsible. As a result, Fischer (Philos Rev 119:315–336, 2010; Analysis 73:489–496, 2013) attempts to undermine PAP in a different manner via a deterministic FSC. More specifically, Fischer attempts to show that if causal determinism rules out an agent’s moral (...) responsibility, it is not in virtue of its eliminating the agent’s alternative possibilities. I contend that, once we focus upon the distinction between entailment and explanation, the incompatibilist defender of PAP can successfully rebut Fischer’s argument. I argue for this claim while granting Fischer a number of assumptions that only render a defense of PAP more difficult. Additionally, I cast doubt upon Palmer’s (Synthese 191:3847–3864, 2014) critique of Fischer’s argument, which in turn renders my defense of PAP all the more critical. (shrink)