An alternative claim, advanced especially by John Haugeland, is a kind of "weak local" supervenience claim; or, weaker still, mere "global" supervenience. The claim that mental properties supervene globally on physical properties requires only a quite modest commitment: any difference between two possible worlds with respect to their instantiated mental properties entails at least "some" difference in the physical properties instantiated in those two worlds. Importantly, it does "not" require that the mental properties of an individual person supervene "only" on that person's physical state.