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.

The group organizers are Lara Buchak (Philosophy), Wesley Holliday (Philosophy), John MacFarlane (Philosophy), Paolo Mancosu (Philosophy), and Seth Yalcin (Philosophy).

Our next event

October 21, 2015, 6-7:30 PM in 234 Moses Hall

Jeff Sanford Russell (USC)

Possible Patterns

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.)