Several of the most prominent theories of actual causation make use of a minimality condition to prevent irrelevant elements from being tacked onto a cause so that the conjunction or sum passes for a cause. Focusing on one theory in particular—the influential Halpern-Pearl definition of actual causation—we argue that either the minimality condition or its rationale ought to be revised. We produce proposals showing that both are live options and demonstrate their potential usefulness within the larger family of counterfactual approaches (...) to causation. (shrink)