If the pursuer's prediction causally depends on the fugitive's reasoning process, then no choice is rendered 'certain death' by rationality alone—only by causal dependence structures.

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Pursuer and fugitive problem(the scenario being analyzed in this statement about prediction and choice): A thought experiment where one person (the pursuer) tries to catch another person (the fugitive) by predicting their moves, raising questions about whether perfect prediction removes free choice.
causal dependence(Lewis's counterfactual theory of causation): A counterfactual relation in which an effect depends on a cause such that, had the cause not occurred, the effect would not have occurred.
causal structure(Paired with inertial structure as jointly sufficient to determine metrical structure.): The structure of the world defined by causal relations, operationalized here via light signals.
rationality(Traditional conception being challenged by epistemic relativists): A cognitive virtue and hallmark of the scientific method, intimately tied to requirements of consistency, justification, warrant, and evidence for beliefs.

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