For Olimpia Lombardi (ed.), Quantum worlds: identity, indistinguishability and non-locality in quantum physics, Cambridge University Press, forthcomingThe paper explains why an ontology of permanent point particles that are individuated by their relative positions and that move on continuous trajectories as given by a deterministic law of motion constitutes the best solution to the measurement problem in both quantum mechanics and quantum field theory. This case is made by comparing the Bohmian theory to collapse theories such as the GRW matter density and the GRW flash theory. It is argued that the Bohmian theory makes the minimal changes, concerning only the dynamics and neither the ontology nor the account of probabilities, that are necessary to get from classical mechanics to quantum physics. There is no cogent reason to go beyond these minimal changes. 1 1 The measurement problem 2 2 The collapse solution and its ontology 6 3 The particle solution and its dynamics 11 4 Permanent particles in quantum field theory 20