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DS theory has never been popular. Even Bayesianism (cf. "Bayesian nonparametrics" two decades ago) took a back seat after LLMs came out. DS theory, with its greater computational complexity, is therefore even less attractive.
What a dempster fire
I don't understand what the notation means.

For example when the author says:

P(Q ⊆ X | ∀ x ∈ Q (x = 1))

This is equivalent to P(Q ⊆ X | Q = {1}), which further simplifies to P(1∈X).

This seems to be a type error (isn't X supposed to be a set of binary variables?), and also an awfully cumbersome way to write P(1∈X).

Anyone have some idea what the article is trying to say?

This reminds me of `PrSAT`, a satisfier for probabilistic statements. ("Does a distribution exist that satisfies the following constraints?").

See: https://fitelson.org/PrSAT/, and the linked paper: https://fitelson.org/pm.pdf

The paper starts off slow, but have patience to read up to section 4, Applications, which is kind of surprising.