Eliminating Self-Reference from Grelling's and Zwicker's Paradoxes

Abstract

The goal of this paper is to present Yabloesque versions of Grelling’s and Zwicker’s paradoxes concerning the notions of “heterological” and “hypergame” respectively. We will offer counterparts of these paradoxes that do not seem to involve any kind of self-reference or vicious circularity.

Keywords

• Yablo’s paradox
• Grelling’s paradox
• Zwicker’s paradox
• self-reference
• circularity