Property identity theories like Lewis's and Armstrong's achieve strict monism precisely because they eliminate the supervening property rather than merely correlating it with its base.
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David Lewis was a famous American philosopher who developed influential theories about possible worlds—alternative ways reality could have been.
Property identity theories(the main subject of the statement)
Philosophical theories that say mental properties (like thoughts or feelings) are literally the same thing as physical brain properties, not just caused by them or related to them.
Strict monism(the philosophical position being described)
The view that there is only one fundamental type of thing in existence—specifically, that everything is ultimately physical, with no non-physical mind or consciousness separate from the body.
Supervening property(as the higher-level property in a supervenience relationship)
A property that depends on or is determined by more basic properties underneath it—like 'wetness' supervenes on the arrangement of water molecules.