See Penrose argument. He argues that the fact that our minds are not Turing machines allows us knowledge above and beyond what Turing machines are capable of. I

See Penrose argument. He argues that the fact that our minds are not Turing machines allows us knowledge above and beyond what Turing machines are capable of. I don't think this necessarily entails inconsistency, but replying to his argument that humans are inconsistent does not refute his argument. That is what I was trying to point out.