This paper traces the logical movements in Jaegwon Kim’s philosophy of mind addressed to physicalists. To start, a brief background to the contemporary debate between substance dualists, property dualists, and reductionists is provided. The author then argues that Kim uses inconsistent logic in his argument against non-reductive physicalism, compared with his argument against substance dualism: the pairing problem. It turns out that Kim fails to eliminate substance dualism as a possible theory of mind, in particular as an explanation of mental causation. The author offers a separate argument that would improve Kim’s case.

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