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  1. Axiomatische Wahrheitstheorien.Volker Halbach - 1996 - De Gruyter.
    ) Modern theories of formal truth have traditionally been used to analyse semantic paradoxes, but their field of application goes well beyond this field to include ontological issues, Godel′s incompleteness phenomena, and the relationship between object language, meta language and reduction. All these fields have had new light sched upon them by studies on the theories of truth. In providing a first summary of the various approaches in this field the author documents their respective advantages and areas of application. The (...)
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  • (1 other version)Formal Philosophy. Selected Papers of Richard Montague.Richard Montague & Richmond H. Thomason - 1975 - Erkenntnis 9 (2):252-286.
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  • (1 other version)A System Of Complete And Consistent Truth.Volker Halbach - 1994 - Notre Dame Journal of Formal Logic 35 (3):311-327.
    To the axioms of Peano arithmetic formulated in a language with an additional unary predicate symbol T we add the rules of necessitation φ/Tφ and conecessitation T φ/φ and axioms stating that T commutes with the logical connectives and quantifiers. By a result of McGee this theory is w-inconsistent, but it can be approximated by models obtained by a kind of rule-of-revision semantics. Furthermore we prove that FS is equivalent to a system already studied by Friedman and Sheard and give (...)
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  • (1 other version)Truth, Vagueness, and Paradox. An Essay on the Logic of Truth.Vann Mcgee & Giovanni Sommaruga-Rosolemos - 1993 - Critica 25 (73):83-108.
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  • (1 other version)Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Mathematical Logic Quarterly 35 (2):97-130.
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  • Minimalism, epistemicism, and paradox.Bradley Armour-Garb & J. C. Beall - 2005 - In Jc Beall & Bradley P. Armour-Garb (eds.), Deflationism and Paradox. Oxford, England: Oxford University Press.
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  • On Representing True-in-L'in L Robert L. Martin and Peter W. Woodruff.Robert L. Martin - 1984 - In Robert Lazarus Martin (ed.), Recent essays on truth and the liar paradox. New York: Oxford University Press. pp. 47.
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  • (1 other version)The Calculus of Partial Predicates and Its Extension to Set Theory I.Hao Wang - 1961 - Mathematical Logic Quarterly 7 (17‐18):283-288.
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  • The Disjunction and Existence Properties for Axiomatic Systems of Truth.Harvey Friedman & Michael Sheard - 1987 - Annals of Pure and Applied Logic 40 (1):1--10.
    In a language for arithmetic with a predicate T, intended to mean “ x is the Gödel number of a true sentence”, a set S of axioms and rules of inference has the truth disjunction property if whenever S ⊢ T ∨ T, either S ⊢ T or S ⊢ T. Similarly, S has the truth existence property if whenever S ⊢ ∃χ T ), there is some n such that S ⊢ T ). Continuing previous work, we establish whether (...)
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  • An Axiomatic Approach to Self-Referential Truth.Harvey Friedman & Michael Sheard - 1987 - Annals of Pure and Applied Logic 33 (1):1--21.
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  • (1 other version)Truth and reduction.Volker Halbach - 2000 - Erkenntnis 53 (1-2):97-126.
    The proof-theoretic results on axiomatic theories oftruth obtained by different authors in recent years are surveyed.In particular, the theories of truth are related to subsystems ofsecond-order analysis. On the basis of these results, thesuitability of axiomatic theories of truth for ontologicalreduction is evaluated.
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  • Some remarks on extending and interpreting theories with a partial predicate for truth.William N. Reinhardt - 1986 - Journal of Philosophical Logic 15 (2):219 - 251.
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  • Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
    A formal theory of truth, alternative to tarski's 'orthodox' theory, based on truth-value gaps, is presented. the theory is proposed as a fairly plausible model for natural language and as one which allows rigorous definitions to be given for various intuitive concepts, such as those of 'grounded' and 'paradoxical' sentences.
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  • Systems of predicative analysis.Solomon Feferman - 1964 - Journal of Symbolic Logic 29 (1):1-30.
    This paper is divided into two parts. Part I provides a resumé of the evolution of the notion of predicativity. Part II describes our own work on the subject.Part I§1. Conceptions of sets.Statements about sets lie at the heart of most modern attempts to systematize all (or, at least, all known) mathematics. Technical and philosophical discussions concerning such systematizations and the underlying conceptions have thus occupied a considerable portion of the literature on the foundations of mathematics.
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  • (1 other version)Transfinite recursive progressions of axiomatic theories.Solomon Feferman - 1962 - Journal of Symbolic Logic 27 (3):259-316.
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  • The Revision Theory of Truth. [REVIEW]Vann McGee - 1996 - Philosophy and Phenomenological Research 56 (3):727-730.
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  • (1 other version)A. S. Troelstra and H. Schwichtenberg. Basic proof theory. Second edition of jsl lxiii 1605. Cambridge tracts in theoretical computer science, no. 43. cambridge university press, cambridge, new York, etc., 2000, XII + 417 pp.Roy Dyckhoff - 2001 - Bulletin of Symbolic Logic 7 (2):280-280.
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  • Proof Theory.Gaisi Takeuti - 1990 - Studia Logica 49 (1):160-161.
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  • (1 other version)The Notion of Logical Consequence in the Logic of Inexact Predicates.John P. Cleave - 1974 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (19-22):307-324.
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  • (1 other version)The Strong Completeness of a System for Kleene's Three‐Valued Logic.John T. Kearns - 1979 - Mathematical Logic Quarterly 25 (3‐6):61-68.
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  • (1 other version)The Notion of Logical Consequence in the Logic of Inexact Predicates.John P. Cleave - 1974 - Mathematical Logic Quarterly 20 (19‐22):307-324.
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  • Truth, probability, and naive criteria.Michael Sheard - 2002 - In Volker Halbach & Leon Horsten (eds.), Principles of truth. New York: Hänsel-Hohenhausen. pp. 169-182.
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  • (1 other version)Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Zeitshrift für Mathematische Logik Und Grundlagen der Mathematik 35 (1):97--130.
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  • Truth, Vagueness, and Paradox: An Essay on the Logic of Truth.Vann McGee - 1990 - Indianapolis, IN, USA: Hackett.
    Awarded the 1988 Johnsonian Prize in Philosophy. Published with the aid of a grant from the National Endowment for the Humanities.
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  • A theory of formal truth arithmetically equivalent to ID.Andrea Cantini - 1990 - Journal of Symbolic Logic 55 (1):244 - 259.
    We present a theory VF of partial truth over Peano arithmetic and we prove that VF and ID 1 have the same arithmetical content. The semantics of VF is inspired by van Fraassen's notion of supervaluation.
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  • (2 other versions)Elementary Induction on Abstract Structures.Wayne Richter - 1979 - Journal of Symbolic Logic 44 (1):124-125.
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  • Replacement of Auxiliary Expressions.William Craig - 1956 - Philosophical Review 65 (1):38-55.
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  • (3 other versions)Formal Philosophy: Selected Papers of Richard Montague.Richmond H. Thomason & Richard Montague - 1976 - Foundations of Language 14 (3):413-418.
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  • (1 other version)Replacement of Auxiliary Expressions.W. C. - 1956 - Philosophical Review 65:38.
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  • (1 other version)A System of Complete and Consistent Truth.Volker Halbach - 1994 - Notre Dame Journal of Formal Logic 35 (1):311--27.
    To the axioms of Peano arithmetic formulated in a language with an additional unary predicate symbol T we add the rules of necessitation and conecessitation T and axioms stating that T commutes with the logical connectives and quantifiers. By a result of McGee this theory is -inconsistent, but it can be approximated by models obtained by a kind of rule-of-revision semantics. Furthermore we prove that FS is equivalent to a system already studied by Friedman and Sheard and give an analysis (...)
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  • Truth and paradox: solving the riddles.Tim Maudlin - 2004 - New York: Oxford University Press.
    In this ingenious and powerfully argued book Tim Maudlin sets out a novel account of logic and semantics which allows him to deal with certain notorious paradoxes which have bedevilled philosophical theories of truth. All philosophers interested in logic and language will find this a stimulating read.
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  • Recent essays on truth and the liar paradox.Robert Lazarus Martin (ed.) - 1984 - New York: Oxford University Press.
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  • Kripke and the logic of truth.Michael Kremer - 1988 - Journal of Philosophical Logic 17 (3):225 - 278.
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  • Truth and Paradox: Solving the Riddles.Tim Maudlin - 2004 - Studia Logica 85 (2):277-281.
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  • (1 other version)Truth, Vagueness and Paradox. An Essay on the Logic of Truth.Vann Mcgee - 1992 - Studia Logica 51 (2):340-341.
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  • (1 other version)The Strong Completeness of a System for Kleene's Three‐Valued Logic.John T. Kearns - 1979 - Mathematical Logic Quarterly 25 (3-6):61-68.
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  • Axiomatische Wahrheitstheorien.Volker Halbach - 1999 - Studia Logica 63 (1):138-140.
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  • On representing ‘true-in-L’ in L.Robert L. Martin - 1975 - Philosophia 5 (3):213-217.
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  • (1 other version)Replacement of auxiliary expressions.W. C. - 1956 - Philosophical Review 65 (1):38-55.
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  • The Strong Completeness of a System Based on Kleene's Strong Three-Valued Logic.Hiroshi Aoyama - 1994 - Notre Dame Journal of Formal Logic 35 (3):355-368.
    The present work, which was inspired by Kripke and McCarthy, is about a non-classical predicate logic system containing a truth predicate symbol. In this system, each sentence A is referred to not by a Gödel number but by its quotation name 'A'.
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  • (1 other version)The Calculus of Partial Predicates and Its Extension to Set Theory I.Hao Wang - 1961 - Mathematical Logic Quarterly 7 (17-18):283-288.
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