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Cause and some Positive Causal Impact

2008, Noûs

In this paper I put forward a probabilistic analysis of the notion of cause. I argue that for an event A to be a cause of an event C is for A to have some positive causal impact on C. I provide a probabilistic analysis of the notion of some positive causal impact, mainly in terms of the concept of a strict increaser, and argue that, roughly, for A to have some positive causal impact on C is for there to be a strict increaser for A and C. I relate the notion of some positive causal impact to my account of counterfactuals. Finally, I contrast my account with the theories of D. Lewis and W. Salmon. Lewis's theory of cause is a counterfactual theory. 1 Lewis's conception of counterfactuals (Lewis, 1973) was originally developed for a deterministic world. On this account, one orders possible worlds by the relation of intuitive overall similarity, and the counterfactual is (non-vacuously) true iff the consequent is true in all the antecedent-worlds in some sphere (centered around the world in which the counterfactual is assessed, and which includes some antecedentworlds). This theory faced robust counterexamples, in particular counterfactuals which have generally been taken to come out true on Lewis's theory, though they shouldn't. One, for instance, is the false counterfactual 'Had I been at least an inch taller than I am, I would have been exactly an inch taller.'The most notorious counterexample involves the counterfactual 'Had Nixon pushed the nuclear button, there would have been no nuclear blast'. These counterfactuals are patently false, but come out true on Lewis's theory, one should think, since there are antecedent-worlds in which the consequent is true which are more intuitively similar to the actual world than the antecedent-worlds in which the consequent is false. Lewis consequently modified his original theory by abandoning the reliance on intuitive overall similarity, and moved to a conception of weights and priorities for similarity (Lewis, 1979) 4 on which the overall similarity relation is not