Generalized Revenge

Australas J Philos. 2019 Oct 14;98(1):153-177. doi: 10.1080/00048402.2019.1640323. eCollection 2020.

Abstract

Since Saul Kripke's influential work in the 1970s, the revisionary approach to semantic paradox-the idea that semantic paradoxes must be solved by weakening classical logic-has been increasingly popular. In this paper, we present a new revenge argument to the effect that the main revisionary approaches breed new paradoxes that they are unable to block.

Keywords: non-contractive logics; non-transitive logics; paracomplete logics; paraconsistent logics; revenge paradoxes; semantic paradoxes.

Grants and funding

We are grateful to the ÖAD and the FWF (grant number P29716-G24) for generous financial support during the time this paper was written.