Aumann agreement theorem
Fragment of a discussion from User talk:Armondikov
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No, I didn't suggest you can treat moral judgements as "facts" - although you can demonstrate their consequences in a factual manner ("Gay marriage will lead to bestiality!!" - "Well, just watch it not do that."). But demonstrating something to be factually inaccurate, or demonstrating an ethical position to be badly thought out is fairly trivial next to convincing the believer that it's so.