Abstract
This paper examines Jaegwon Kim's Supervenience Argument (SA) against nonreductive physicalism, concentrating on Kim's response to two of the most important objections against the SA: First, the Overdetermination Argument, according to which Kim has no convincing argument against the possibility that mental causation might be a case of genuine or systematic overdetermination; second, the Generalization Argument, according to which the SA would entail that causation at any level gives way to causation at the next lower level, thereby leading to an untenable all-encompassing epiphenomenalism. It is argued that as of yet, Kim has failed to develop a coherent overall position, since various moves he makes in response to these criticisms are strangely at odds with other parts of his philosophical position.