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I'm responding to your claim that Arrows theorem debunks attempts to paint some voting systems as objectively more democratic or better than other voting systems.

If you think that Arrows theorem really does this, then you should stand by that assertion and defend all voting systems that Arrows theorem applies to as not objectively better than any other voting system that Arrows theorem applies to.

And yes, Arrows theorem applies to Dictatorship/Random Ballot/Plurality/Condorcet-loser methods which are the ones I used in my example.

It applies to dictatorship, but doesn't actually tell you anything about it.

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