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> The point of bringing up Arrow's theorem is to debunk people who claim that certain voting systems are "more democratic" or "better" in some objective sense.

That's actually an invalid use of it; while the concept of "better" is inherently subjective ("democratic" has multiple definitions, but many of them are objective) Arrow's theorem has nothing to do with that one way or the other.

Arrow's theorem says that a certain set of binary criteria that applies to voting systems that map from a set of ranked preferences to a single preference ranking cannot be met simultaneously, but it does not say anything one way or the other about the ability to differentiate objectively among voting systems on continuous-valued axes, including various operationalisations of "democratic".

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