Fischer's own transfer-of-powerlessness principle applies equally to non-causal dependencies, so CPP's weakness relative to causation is dialectically irrelevant to the original incompatibilist argument.

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CPP(Weaker than PPP for arguments involving conditionals): A conception of validity on which an argument preserves certainty: if probability 1 is assigned to the premises, probability 1 must be assigned to the conclusion
Dialectically irrelevant(describing whether CPP's weakness matters to the larger discussion): Not actually important to the debate or argument being made, even though it might seem like it at first glance.
Fischer(philosopher reference): John Martin Fischer, an American philosopher known for his work on free will and moral responsibility, especially regarding how God's knowledge relates to human freedom.
Non-causal dependencies(as contrasted with causal relationships): Situations where one thing determines or depends on another thing, but not through a normal cause-and-effect relationship; like how the rules of math determine what's true without 'causing' it in the usual sense.

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