Eliezer_Yudkowsky comments on Belief in Belief - Less Wrong
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Contradictions are contradictions. If, in general, the magisteria don't interact, but in some specific case, they do interact, that's a contradiction. It's a model that doesn't meet the axioms. That is a matter of logic. You can say "The dualist asserts that no interaction is taking place", but you can't say, "for the dualist, that is not a contradiction".