Authors
John Burgess
Princeton University
Abstract
What is the simplest and most natural axiomatic replacement for the set-theoretic definition of the minimal fixed point on the Kleene scheme in Kripke’s theory of truth? What is the simplest and most natural set of axioms and rules for truth whose adoption by a subject who had never heard the word "true" before would give that subject an understanding of truth for which the minimal fixed point on the Kleene scheme would be a good model? Several axiomatic systems, old and new, are examined and evaluated as candidate answers to these questions, with results of Harvey Friedman playing a significant role in the examination.
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References found in this work BETA

Axiomatizing Kripke’s Theory of Truth.Volker Halbach & Leon Horsten - 2006 - Journal of Symbolic Logic 71 (2):677 - 712.
Systems of Predicative Analysis.Solomon Feferman - 1964 - Journal of Symbolic Logic 29 (1):1-30.
Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Mathematical Logic Quarterly 35 (2):97-130.
Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Zeitshrift für Mathematische Logik Und Grundlagen der Mathematik 35 (1):97--130.
A System of Complete and Consistent Truth.Volker Halbach - 1994 - Notre Dame Journal of Formal Logic 35 (1):311--27.

View all 11 references / Add more references

Citations of this work BETA

The Power of Naive Truth.Hartry Field - forthcoming - Review of Symbolic Logic:1-34.
Naïve Validity.Julien Murzi & Lorenzo Rossi - 2017 - Synthese 199 (Suppl 3):819-841.
Truth, Revenge, and Internalizability.Kevin Scharp - 2014 - Erkenntnis 79 (S3):597-645.

View all 7 citations / Add more citations

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