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How do they justify this prediction, in your opinion?
Based on their belief in common descent.
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I thought of another prediction that is often made: there will be biological systems such that their origin cannot be explained by naturalistic means. The reason it would make this prediction is that as a feature or process is brought into existence by the intervention of an intelligent agent the path of naturalistic process would come to an end at that intervention point.
I don't like confusing the natural/supernatural with natural/artificial, and it's a particular problem with ID. The mainstream do claim it as a prediction based on their supernaturalism. Behe, I think, still tries to claim it. I don't think that Genomicus does.
So I'd say that most ID supporters would agree and mean that a supernatural cause would be needed (although they might not say so) but some on the fringes might only mean that evolution involved some artifice, and some wouldn't agree at all.