We are a Working Group devoted to the discussion of historical and philosophical issues in symbolic logic, mathematics, and science. We meet on occasional Wednesday evenings for a talk and a lively discussion. The group is funded by the Doreen B. Townsend Center for the Humanities and the Department of Philosophy.
All members of the academic community are welcome to attend. We have regular participants in many different fields, including philosophy, mathematics, history of science, and psychology.
Our next event
October 21, 2015, 6-7:30 PM in 234 Moses Hall
Jeff Sanford Russell (USC)
According to David Lewis (among others) “There are no gaps in logical space” (1986) and thus “Possibility is governed by a combinatorial principle” (2009). But what principle could this be? Taking an argument from Peter Forrest and David Armstrong (1984) and a reply from Daniel Nolan (1996) as our jumping-off point, we us e resources from model theory to show the consistency of certain packages of combinatorial principles and the inconsistency of others. (This work is a collaboration with John Hawthorne.)