A note on three-valued logic and Tarski theorem on truth definitions

Studia Logica 39 (4):405-414 (1980)
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Abstract

We introduce a notion of semantical closure for theories by formalizing Nepeivoda notion of truth. [10]. Tarski theorem on truth definitions is discussed in the light of Kleene's three valued logic (here treated with a formal reinterpretation of logical constants). Connections with Definability Theory are also established.

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Andrea Cantini
Università degli Studi di Firenze

Citations of this work

Toward useful type-free theories. I.Solomon Feferman - 1984 - Journal of Symbolic Logic 49 (1):75-111.
Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Zeitshrift für Mathematische Logik Und Grundlagen der Mathematik 35 (1):97--130.
Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Mathematical Logic Quarterly 35 (2):97-130.
Notes on Formal Theories of Truth.Andrea Cantini - 2006 - Mathematical Logic Quarterly 35 (2):97-130.

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References found in this work

Introduction to Metamathematics.Stephen Cole Kleene - 1952 - Groningen: North-Holland.
Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
An extension of basic logic.Frederic B. Fitch - 1948 - Journal of Symbolic Logic 13 (2):95-106.

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