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In this paper, we challenge Jaegwon Kim's version of neural reductionism according to which the causal powers of mental properties are pre-empted by those of neural properties. Using empirical and theoretical developments from the field of embedded cognition, we articulate and defend a notion of process externalism that extends Clark and Chalmers' notion of an extended mind. We argue that process externalism undermines one of Kim's key premises leading to the alternative conclusion that mental causation cannot be reduced to neural causation. Instead, mental properties have their own new causal powers just like other scientifically established macroproperties.

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Gold & Stoljar are right in rejecting the radical neuron doctrine, but we argue that their distinction between determination and explanation is not principled enough to support their conclusion. We claim that the notions of multiple supervenience and screening-off offer a more precise construal of the dissociation between explanation and determination that lies at the heart of the antireductionist position.