Supertasks, dynamical attractors and indeterminism

Atkinson [2006. Losing energy in classical, relativistic and quantum mechanics. in Studies in History and Philosophy of Modern Physics, 38 To appear.] has obtained some new results on supertasks and the violation of conservation laws. I discuss these results here, extending them from a different perspective, which, by focusing on considerations of indeterminism, facilitates the natural introduction in this context of the concept of dynamical attractor.