Date of Award
Fall 2022
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Philosophy
First Advisor
Gendler Szabo, Zoltan
Abstract
The purpose of the inclosure schema is to reveal uniform structure in many paradoxes. Arguably, if it is successful, these paradoxes all require uniform solutions---a deep result. This dissertation explores the frontiers of inclosure, going beyond the schema in three ways. First, the philosophical project beyond the inclosure schema, the inclosure project, is examined. In particular, an account of the nonformal relation of correspondence between a paradox and an instance of the inclosure schema is given, with the Liar-like paradoxes chosen as test cases. Second, Curry's paradox, a paradox supposedly beyond the schema's reach, is argued to require a solution uniform with those of the inclosure paradoxes, even if it is not an inclosure paradox, and even granting more besides. Third, beyond the schema's unification lies the possibility of uniform solutions; several novel paraconsistent logics informed by inclosure, logics for decollapsing, are proposed and investigated as potentially yielding uniform solutions.
Recommended Citation
Burton, Michael, "Beyond the Inclosure Schema" (2022). Yale Graduate School of Arts and Sciences Dissertations. 698.
https://elischolar.library.yale.edu/gsas_dissertations/698
