TY - BOOK AU - Halbach, Volker TI - Axiomatic theories of truth SN - 9781107424425 U1 - 121 PY - 2014/// CY - New York PB - Cambridge university press KW - Truth N1 - Includes bibliographical references and index; Part I FOUNDATIONS; 1 Definitional and axiomatic theories of truth; 2 Objects of truth; 3 Tarski; 4 Truth and set theory; 4.1 Definitions and axiomatizations; 4.2 Paradoxes and typing; 5 Technical preliminaries; 5.1 Peano arithmetic; 5.2 Truth and satisfaction; 5.3 Translations and the recursion theorem; 6 Comparing axiomatic theories of truth; Part II TYPED TRUTH; 7 Disquotation; 8 Classical compositional truth; 8.1 The conservativity of compositional truth; 8.2 Conservativity and model theory; 8.3 Nonstandard models; 8.4 Lachlan's theorem 8.5 Satisfaction classes and axiomatic theories of truth8.6 Compositional truth and elementary comprehension; 8.7 Positive truth; 9 Hierarchies; 9.1 Tarski's hierarchy axiomatized; 9.2 Illfounded hierarchies; Part III TYPE-FREE TRUTH; 10 Typed and type-free theories of truth; 11 Reasons against typing; 12 Axioms and rules; 13 Axioms for type-free truth; 14 Classical symmetric truth; 14.1 The Friedman-Sheard theory and revision semantics; 14.2 Proof theory of the Friedman-Sheard theory; 14.3 The Friedman-Sheard axiomatization; 14.4 Expressing necessitation via reflection 14.5 Without satisfaction15 Kripke-Feferman; 15.1 Fixed-point semantics; 15.2 Completeness and consistency; 15.3 Proof theory of the Kripke-Feferman system; 15.4 Extensions; 16 Axiomatizing Kripke's theory in partial logic; 16.1 Partial Kripke-Feferman; 16.2 Proof-theoretic analysis of partial Kripke-Feferman; 17 Grounded truth; 18 Alternative evaluation schemata; 19 Disquotation; 19.1 Maximal consistent sets of disquotation sentences; 19.2 Maximal conservative sets of disquotation sentences; 19.3 Positive disquotation; 19.4 The semantics of positive disquotation 19.5 Proof theory of positive disquotationPart IV WAYS TO THE TRUTH; 20 Classical logic; 20.1 The costs of nonclassical logic; 20.2 The internal logic of the Kripke-Feferman theory; 20.3 Expressive power in nonclassical logic; 20.4 Containing nonclassical logic; 21 Deflationism; 21.1 Disquotationalism; 21.2 Conservativity; 22 Reflection; 22.1 Reflection principles; 22.2 Reflective closure; 23 Ontological reduction; 24 Applying theories of truth; 24.1 Truth in natural language; 24.2 Extending schemata N2 - In this book, Volker Halbach examines the most important axiomatizations of truth, explores their properties and shows how the logical results impinge on the philosophical topics related to truth ER -