Journal article

Non-Classical Circular Definitions

Shawn Standefer

The Australasian Journal of Logic | Victoria University of Wellington Library

Abstract

Circular denitions have primarily been studied in revision theory in the classical scheme. I present systems of circular denitions in the Strong Kleene and supervaluation schemes and provide complete proof systems for them. One class of denitions, the intrinsic denitions, naturally arises in both schemes. I survey some of the features of this class of denitions.