This paper reconstructs Donald Davidson’s (1970) arguments for his theory of anomalous monism, and reviews the main criticisms it received. That theory is widely rejected nowadays, and given the numerous criticisms it received, it is reasonable to conclude that any rehabilitation attempt has a long way ahead. The diversity of those criticisms suggests that there is no consensus on exactly why anomalous monism fails, although difficulties seem to concentrate on the justification and possibility of the monist thesis, and not on the thesis of mental anomalism.