rapaport@cs.Buffalo.EDU (William J. Rapaport) (04/25/89)
UNIVERSITY AT BUFFALO STATE UNIVERSITY OF NEW YORK BUFFALO LOGIC COLLOQUIUM and GRADUATE RESEARCH INITIATIVE IN COGNITIVE AND LINGUISTIC SCIENCES PRESENT NICHOLAS ASHER Department of Philosophy and Center for Cognitive Science University of Texas at Austin PARADOXES OF INDIRECT DISCOURSE In natural language and programs where we must reason about the states of other systems, it is extremely useful to quantify over beliefs of agents. I look at two proposals for quantifying over beliefs--one first-order and one second-order. I then consider certain paradoxes of indirect discourse that arise when one allows quantification over beliefs. These were part of the mediaeval insolubilia and have recently been discussed by Prior and Thomason. I show how inductive and semi- inductive theories of belief (like the one recently developed by Kamp and myself) can address the paradoxes Thomason discusses within the first-order theory of quantification over beliefs, and I propose an analogous way of handling these paradoxes within the higher order frame- work. Monday, May 8, 1989 4:00 P.M. 684 Baldy Hall, Amherst Campus There will probably be an evening discussion at a time and place to be announced. Contact John Corcoran, Dept. of Philosophy, 716-636-2444, or Bill Rapa- port, Dept. of Computer Science, 716-636-3193, for further information.