World-indexing properties conflates levels of description. If B-properties include 'being in world W', this presupposes the very B-completeness needed to establish strong supervenience, risking circularity.

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B-completeness(metaphysics): The idea that once you've fully described all the intrinsic, non-dependent properties of something, you've completely described everything about it.
B-properties(metaphysics (part of debates about the nature of reality)): Properties (characteristics) of something that are absolute or intrinsic, not dependent on which world or perspective you're in—as opposed to 'A-properties' which might be relative.
Circularity (or circular reasoning)(describing a flaw in the logic used to identify Dicaearchus as an author): When an argument uses its own conclusion as proof, like saying 'this book is true because the book says so'—it goes in circles instead of proving anything new.
Levels of description(as different perspectives for analyzing disorders (biological versus personal)): Different ways of explaining the same thing depending on how zoomed-in or zoomed-out you are—like describing a painting at the level of individual brushstrokes versus the level of the overall composition.

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