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  1. Can the Classical Logician Avoid the Revenge Paradoxes?Andrew Bacon - 2015 - Philosophical Review 124 (3):299-352.
    Most work on the semantic paradoxes within classical logic has centered around what this essay calls “linguistic” accounts of the paradoxes: they attribute to sentences or utterances of sentences some property that is supposed to explain their paradoxical or nonparadoxical status. “No proposition” views are paradigm examples of linguistic theories, although practically all accounts of the paradoxes subscribe to some kind of linguistic theory. This essay shows that linguistic accounts of the paradoxes endorsing classical logic are subject to a particularly (...)
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  • Truth, the Liar, and Relativism.Kevin Scharp - 2013 - Philosophical Review 122 (3):427-510.
    This essay proposes a theory of the nature and logic of truth on which truth is an inconsistent concept that should be replaced for certain theoretical purposes. The paradoxes associated with truth (for example, the liar) and the pattern of failures in our attempts to deal with them suggest that truth is an inconsistent concept. The first part of the essay describes a pair of replacement concepts, which the essay dubs ascending truth and descending truth, along with an axiomatic theory (...)
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  • Replacing truth.Kevin Scharp - 2007 - Inquiry: An Interdisciplinary Journal of Philosophy 50 (6):606 – 621.
    Of the dozens of purported solutions to the liar paradox published in the past fifty years, the vast majority are "traditional" in the sense that they reject one of the premises or inference rules that are used to derive the paradoxical conclusion. Over the years, however, several philosophers have developed an alternative to the traditional approaches; according to them, our very competence with the concept of truth leads us to accept that the reasoning used to derive the paradox is sound. (...)
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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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  • On a family of paradoxes.Arthur Prior - 1960 - Notre Dame Journal of Formal Logic 2 (1):16-32.
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  • Principles of mathematics.Bertrand Russell - 1931 - New York,: W.W. Norton & Company.
    Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...)
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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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  • (1 other version)The semantic paradoxes: A diagnostic investigation.Charles Chihara - 1979 - Philosophical Review 88 (4):590-618.
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  • Semantical paradox.Tyler Burge - 1979 - Journal of Philosophy 76 (4):169-198.
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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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  • Replacing Truth.Kevin Scharp - 2013 - Oxford, England: Oxford University Press UK.
    Kevin Scharp proposes an original theory of the nature and logic of truth on which truth is an inconsistent concept that should be replaced for certain theoretical purposes. He argues that truth is best understood as an inconsistent concept, and proposes a detailed theory of inconsistent concepts that can be applied to the case of truth. Truth also happens to be a useful concept, but its inconsistency inhibits its utility; as such, it should be replaced with consistent concepts that can (...)
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  • Truth and the Unprovability of Consistency.H. Field - 2006 - Mind 115 (459):567-606.
    It might be thought that we could argue for the consistency of a mathematical theory T within T, by giving an inductive argument that all theorems of T are true and inferring consistency. By Gödel's second incompleteness theorem any such argument must break down, but just how it breaks down depends on the kind of theory of truth that is built into T. The paper surveys the possibilities, and suggests that some theories of truth give far more intuitive diagnoses of (...)
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  • The Revision Theory of Truth.Anil Gupta & Nuel D. Belnap - 1993 - MIT Press.
    In this rigorous investigation into the logic of truth Anil Gupta and Nuel Belnap explain how the concept of truth works in both ordinary and pathological..
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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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  • The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
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  • Truth, Vagueness and Paradox. An Essay on the Logic of Truth.Vann Mcgee - 1992 - Studia Logica 51 (2):340-341.
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  • 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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  • A Theory of Formal Truth Arithmetically Equivalent to ID 1.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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