If the properties grounding relational holism cannot be jointly determinate, the claim that the pair instantiates irreducible relational properties is undermined by internal inconsistency.

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Internal inconsistency(The paradox shows that the concept of equipossibility contains a flaw): A contradiction or logical problem within a system itself—when a single theory or method produces conflicting answers to the same question.
Relational holism(Teller (1989); consequence of violating particularism): The view that composite systems can have relational properties not reducible to the intrinsic properties of their parts
determinate(Contrasted with determinables; taken to be independently posited in the causal/ontological economy): A maximally specific instance of a determinable property (e.g., scarlet as a determinate of red)
grounding(Drawn from contemporary metaphysics; proposed as potentially applicable to understanding the foundations of legality.): A metaphysical relation in which some entities or facts are more foundational than others, providing a hierarchical structure of the world.

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