Pure Logic of Iterated Ground

Jon Erling Litland (Oslo) gives a talk at the Workshop on Groundedness (26-27 October, 2012) titled "Pure Logic of Iterated Ground". Abstract: The presently existing logics of ground have not had anything to say about iterated grounding claims, that is, claims of the form: "A grounds that (B grounds C)". I develop a pure logic of iterated ground providing a systematic account of such iterated grounding claims. The logic is developed as a Prawitz style natural deduction system; the grounding operators are provided with both introduction and elimination rules, and normalization can be proved. The resulting logic is a conservative extension of Kit Fine's Pure Logic of Ground.