The isolation principle generates genuine counterexamples to strong supervenience only by presupposing haecceitism, which independently undermines the modal framework required for the distinction.
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A supervenience relation where, across all possible worlds, any individual that shares B-properties with another individual also shares A-properties with that individual
supervenience(Philosophy of mind and reduction; contrasted with full reduction)
A relation in which mental (or higher-level) states are dependent on physiological (or lower-level) states such that any two cases with identical lower-level bases are identical in their higher-level states; a necessary but not sufficient condition for reduction.