David Lewis's modalrealism, the paradigm possibilist framework, entails that every individual exists necessarily as a denizen of some world, making necessitism a structural consequence of the view.
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Structural consequence(explaining the relationship between modal realism and necessitism)
A result that follows logically from the basic design or framework of a theory, rather than being added on separately.
modal realism(Distinguished from views treating possible worlds as abstract objects)
Lewis's philosophical thesis concerning the nature of possible worlds, specifically his 'form' of it which holds other possible worlds are concrete entities (concreta)
necessitism(Philosophy of modality; a logical truth of SQML)
The view that everything that exists exists necessarily — both possibilia and actually existing things alike are necessary beings, such that there are no worlds from which they are altogether absent.