Abstract for “The Indefinite Extensibility of Proposition” – Andy Yu

In this talk, I motivate a modal account of the indefinite extensibility of proposition on the basis of an iterative conception of proposition. As an application, I suggest that the account provides a satisfying solution to the Russell-Myhill paradox. The account is in the spirit of recently-developed modal accounts of the indefinite extensibility of set motivated on the basis of the iterative conception of set.