Frankfurt-style cases, which compatibilists treat as decisive, presuppose that 'could have done otherwise' is the relevant freedom condition—confirming incompatibilists and compatibilists share this analytical starting point.

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Analytical starting point(in philosophical arguments): A basic assumption or premise that both sides of a debate agree on before they disagree about what it means or what follows from it.
Compatibilists(as used in philosophy of free will): Philosophers who believe that free will and determinism (the idea that everything is predetermined) can both be true at the same time, rather than being opposites.
Could have done otherwise(as a key requirement for free will): The idea that in a given situation, you had the real ability to choose a different action than the one you actually chose.
Frankfurt-style cases(Central to debates about the relationship between moral responsibility and alternative possibilities.): Thought experiments designed to show that an agent can be morally responsible for an action even when the agent lacks the ability to do otherwise, typically involving a counterfactual intervener (like Black) who would ensure a particular outcome if the agent showed any inclination otherwise.

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