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Truth in applicative theories
Studia Logica 68 (1):103-128 (2001)
Abstract
We give a survey on truth theories for applicative theories. It comprises Frege structures, universes for Frege structures, and a theory of supervaluation. We present the proof-theoretic results for these theories and show their syntactical expressive power. In particular, we present as a novelty a syntactical interpretation of ID1 in a applicative truth theory based on supervaluation.Author's Profile
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Citations of this work
Truths, Inductive Definitions, and Kripke-Platek Systems Over Set Theory.Kentaro Fujimoto - 2018 - Journal of Symbolic Logic 83 (3):868-898.
Autonomous progression and transfinite iteration of self-applicable truth.Kentaro Fujimoto - 2011 - Journal of Symbolic Logic 76 (3):914 - 945.
Typed and Untyped Disquotational Truth.Cezary Cieśliński - 2015 - In T. Achourioti, H. Galinon, J. Martínez Fernández & K. Fujimoto (eds.), Unifying the Philosophy of Truth. Dordrecht: Imprint: Springer.
Universes over Frege structures.Reinhard Kahle - 2003 - Annals of Pure and Applied Logic 119 (1-3):191-223.
References found in this work
The concept of truth in formalized languages.Alfred Tarski - 1956 - In Logic, semantics, metamathematics. Oxford,: Clarendon Press. pp. 152--278.
Der wahrheitsbegriff in den formalisierten sprachen.Alfred Tarski - 1935 - Studia Philosophica 1:261--405.
Presupposition, implication, and self-reference.Bas C. van Fraassen - 1968 - Journal of Philosophy 65 (5):136-152.
Hilbert's program relativized: Proof-theoretical and foundational reductions.Solomon Feferman - 1988 - Journal of Symbolic Logic 53 (2):364-384.
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