Abstract

Sometimes a second-order claim can undermine the first- order claim that it's about. Consider Moore's paradox: "It is raining, but I don't believe it." What makes this sentence paradoxical and seemingly contradictory, although formally it is consistent, is that the second half of the claim undercuts the speaker's right to assert the first half. If the speaker does not believe it is raining, he has no right to assert that it is raining. There are other examples along similar lines: "It is raining, but there's no reason to think it is raining"; "It is raining, but I don't know whether it is raining." These statements, while not strictly contradictory, are self-undermining: the second-order claim in the second conjunct undermines the assertion of the first-order claim in the first conjunct.