The concept of supervenience advanced by D.Davidson to expound his anomolas monism is used to present both the dependent and independent relation between mental and physical properties. In Concepts of Supervenience,J.Kim claimed that there are three different concepts of supervenience:the weak,the strong and the global,and demonstrated that the strong supervenience is equivalent to the global one. One year later,J.Kim corrected an error in the earlier paper,and held that the strong supervenience is stronger than the global,and the weak is independent of the global. Based on a brief introduction about J.Kim's theory of supervenience,this paper contends that J.Kim's conclusion about the relationship between the weak supervenience and the global one is wrong,and corrects some improper points in his formulation of and arguments about the strong and weak supervenience.
