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It is not the case that Supervenience is compatible with emergent property dualism and therefore does not entail reduction.
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1.
On emergent property dualism, emergent properties are something over and above the physical base.
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2.
Emergent properties arise from the physical base according to natural laws of emergence, so they supervene on that base.
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3.
Any two cases with the same physical base would agree in their emergent properties, satisfying the supervenience relation.
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