Intrinsic properties alone cannot determine relational facts. Only when B-properties encompass relations and world-indexing can global supervenience guarantee local supervenience necessary for strength.
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global supervenience(Modal supervenience relations in philosophy of mind and metaphysics)
A globally supervenes on B if and only if no two possible worlds share the same global pattern of distribution of B-properties while differing in their global pattern of distribution of A-properties.
intrinsic properties(Contrasted with structural properties revealed by physics)
Properties which supposedly underlie and account for the structural properties of things.
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.