Friedman and the axiomatization of Kripke's theory of truth
| 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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Volker Halbach (1997). Tarskian and Kripkean Truth. Journal of Philosophical Logic 26 (1):69-80.
Philippe Schlenker (2010). Super Liars. Review of Symbolic Logic 3 (3):374-414.
Volker Halbach (2001). Editorial Introduction. Studia Logica 68 (1):3-20.
Philip Kremer (2009). Comparing Fixed-Point and Revision Theories of Truth. Journal of Philosophical Logic 38 (4):363 - 403.
Philip Kremer (2008). Supervaluation Fixed-Point Logics of Truth. Journal of Philosophical Logic 37 (5).
Volker Halbach, Axiomatic Theories of Truth. Stanford Encyclopedia of Philosophy.
James Cain & Zlatan Damnjanovic (1991). On the Weak Kleene Scheme in Kripke's Theory of Truth. Journal of Symbolic Logic 56 (4):1452-1468.
Volker Halbach & Leon Horsten (2006). Axiomatizing Kripke's Theory of Truth. Journal of Symbolic Logic 71 (1):677--712.
Leon Horsten (2006). Axiomatizing Kripke's Theory of Truth. Journal of Symbolic Logic 71 (2):677 - 712.
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