Title: Unwinding in the style of Kreisel: The Case of Littlewood's Theorem Speaker: Angus MacIntyre Abstract: A small number of difficult and important theorems in pure mathematics have been analyzed with the aid of some metamathematical ideas of Kreisel, with a view to extracting more explicit information. The applications are not systematic, and probably cannot be. I concentrate on some aspects of what goes on in connection with analytic number theory.