Rejecting sufficiency as the criterion of causation does not establish Anscombe's conclusion, since structured counterfactual dependence preserves robust causal necessity without relying on probabilistic looseness.
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causal necessity(Hume's account in EHU 7.2.28–29; 8.1.5)
The constant conjunction of similar objects together with a customary inference of the mind from one to the other; the feeling of necessary connection is a product of the imagination, not an objective force in the world.
counterfactual dependence(Lewis's 1973 analysis of causation)
Event B is counterfactually dependent on event A if and only if the counterfactual 'Had A not occurred, B would not have occurred' is true