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Finite Circular Definitions

In Thomas Bolander, Vincent F. Hendricks & Stig Andur Andersen (eds.), Self-Reference. CSLI Publications. pp. 79-93 (2006)

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  1. Conditionals in Theories of Truth.Anil Gupta & Shawn Standefer - 2017 - Journal of Philosophical Logic 46 (1):27-63.
    We argue that distinct conditionals—conditionals that are governed by different logics—are needed to formalize the rules of Truth Introduction and Truth Elimination. We show that revision theory, when enriched with the new conditionals, yields an attractive theory of truth. We go on to compare this theory with one recently proposed by Hartry Field.
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  • Vagueness and Revision Sequences.C. M. Asmus - 2013 - Synthese 190 (6):953-974.
    Theories of truth and vagueness are closely connected; in this article, I draw another connection between these areas of research. Gupta and Belnap’s Revision Theory of Truth is converted into an approach to vagueness. I show how revision sequences from a general theory of definitions can be used to understand the nature of vague predicates. The revision sequences show how the meaning of vague predicates are interconnected with each other. The approach is contrasted with the similar supervaluationist approach.
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  • Solovay-Type Theorems for Circular Definitions.Shawn Standefer - 2015 - Review of Symbolic Logic 8 (3):467-487.
  • In Praise of a Logic of Definitions That Tolerates Ω‐Inconsistency.Anil Gupta - 2018 - Philosophical Issues 28 (1):176-195.