Honestly, I've become somewhat enamored of general contempt. It seems to fit the world fairly well.

On the other hand, is it discourse? Or just dualing monologues? If it's discourse, then there's nothing to be resolved. One may be entrenched, even both, but that doesn't mean that they're not having a viable dialogue. It's just non-productive. We engage in that all the time, it seems. If it's two people spouting party lines, I don't know what response you can have besides contempt. Or simple avoidance.
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Bitt Faulk