Salmon's mark-transmission account of causation and Woodward's interventionist framework both require that causal relata be natural, stable processes—not arbitrary mathematical images of prior states.
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Stable processes(as a requirement for something to be a real cause)
Processes that are consistent and reliable over time, not random or fleeting—something you can count on happening repeatedly under similar conditions.
Wesley Salmon(His mark-transmission account is one major theory of causation)
A 20th-century philosopher who developed theories about how causation (cause-and-effect relationships) actually work in the world.
causal relata(Metaphysics of causation)
The entities that stand in causal relations; the terms that occupy the cause and effect positions in causal statements
interventionist framework(the main approach being referenced)
A theory of causation that says X causes Y if changing X would change Y—basically, if you could intervene or experiment and flip a switch on X, would Y follow?