In
philosophy, supervenience is a kind of dependency relationship, typically held to obtain between
sets of
properties. According to one standard definition, a set of properties A supervenes on a set of properties B, if and only if any two objects x and y which share all properties in B (are "B-
indiscernible") must also share all properties in A (are "A-indiscernible"). That is, A-properties supervene on B-properties if being B-indiscernible
implies being A-indiscernible. The properties in B are called the base properties (or sometimes subjacent or subvenient properties), and the properties in A are called the supervenient properties. Equivalently, if two things differ in their supervenient properties then they must differ in their base properties. To give a somewhat simplified example, if psychological properties supervene on physical properties, then any two persons who are physically indistinguishable must also be psychologically indistinguishable; or equivalently, any two persons who are psychologically different (e.g., having different thoughts), must be physically different as well. Importantly, the reverse does not follow (supervenience is not symmetric): even if being the same physically implies being the same psychologically, two persons can be the same psychologically yet different physically: that is, psychological properties can be
multiply realized in physical properties.
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