Search results for 'Truth Functionality' (try it on Scholar)

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  1. Rani Lill Anjum, Conditionals and Truth Functionality.
    The material interpretation of conditionals is commonly recognized as involving some paradoxical results. I here argue that the truth functional approach to natural language is the reason for the inadequacy of this material interpretation, since the truth or falsity of some pair of statements ‘p’ and ‘q’ cannot per se be decisive for the truth or falsity of a conditional relation ‘if p then q’. This inadequacy also affects the ability of the overall formal system to establish (...)
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  2.  23
    Daniel J. Hill & Stephen K. McLeod (2010). On Truth-Functionality. Review of Symbolic Logic 3 (4):628-632.
    Benjamin Schnieder has argued that several traditional definitions of truth-functionality fail to capture a central intuition informal characterizations of the notion often capture. The intuition is that the truth-value of a sentence that employs a truth-functional operator depends upon the truth-values of the sentences upon which the operator operates. Schnieder proposes an alternative definition of truth-functionality that is designed to accommodate this intuition. We argue that one traditional definition of ‘truth-functionality’ is (...)
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  3.  13
    Robert C. Cummins & Dale Gottlieb (1972). On an Argument for Truth-Functionality. American Philosophical Quarterly 9 (3):265 - 269.
    Quine argued that any context allowing substitution of logical equivalents and coextensive terms is truth functional. We argue that Quine's proof for this claim is flawed.
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  4.  16
    Nicholas J. J. Smith (2015). Undead Argument: The Truth-Functionality Objection to Fuzzy Theories of Vagueness. Synthese:1-27.
    From Fine and Kamp in the 70’s—through Osherson and Smith in the 80’s, Williamson, Kamp and Partee in the 90’s and Keefe in the 00’s—up to Sauerland in the present decade, the objection continues to be run that fuzzy logic based theories of vagueness are incompatible with ordinary usage of compound propositions in the presence of borderline cases. These arguments against fuzzy theories have been rebutted several times but evidently not put to rest. I attempt to do so in this (...)
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  5.  29
    Pablo Cobreros & Luca Tranchini (2014). Supervaluationism: Truth, Value and Degree Functionality. Thought: A Journal of Philosophy 3 (2):136-144.
    This article deals with supervaluationism and the failure of truth-functionality. It draws some distinctions that may contribute to a better understanding of this semantic framework.
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  6. Benjamin Schnieder (2008). Truth-Functionality. Review of Symbolic Logic 1 (1):64-72.
    It is shown that the standard definitions of truth-functionality, though useful for their purposes, ignore some aspects of the usual informal characterisations of truth-functionality. An alternative definition is given that results in a stronger notion which pays attention to those aspects.
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  7.  59
    Leo K. C. Cheung (2004). Showing, Analysis and the Truth-Functionality of Logical Necessity in Wittgenstein's Tractatus. Synthese 139 (1):81 - 105.
    This paper aims to explain how the Tractatus attempts to unify logic by deriving the truth-functionality of logical necessity from the thesis that a proposition shows its sense. I first interpret the Tractarian notion of showing as the displaying of what is intrinsic to an expression (or a symbol). Then I argue that, according to the Tractatus, the thesis that a proposition shows its sense implies the determinacy of sense, the possibility of the complete elimination of non-primitive symbols, (...)
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  8. Charles Sayward (2007). Quine and His Critics on Truth-Functionality and Extensionality. Logic and Logical Philosophy 16 (1):45-63.
    Quine argues that if sentences that are set theoretically equivalent are interchangeable salva veritate, then all transparent operators are truth-functional. Criticisms of this argument fail to take into account the conditional character of the conclusion. Quine also argues that, for any person P with minimal logical acuity, if ‘belief’ has a sense in which it is a transparent operator, then, in that sense of the word, P believes everything if P believes anything. The suggestion is made that he intends (...)
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  9.  7
    Jouni-Matti Kuukkanen (2015). 6. Why We Need to Move From Truth-Functionality to Performativity in Historiography. History and Theory 54 (2):226-243.
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  10.  29
    A. J. Dale (1978). Reference, Truth-Functionality and Causal Sentences. Analysis 38 (2):99 - 106.
  11.  7
    Joao Marcos (2006). Generalizing Truth-Functionality. Bulletin of Symbolic Logic 12 (3):511-511.
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  12.  10
    Richard Sharvy (1970). Truth-Functionality and Referential Opacity. Philosophical Studies 21 (1-2):5 - 9.
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  13.  2
    Hugues Leblanc (1972). Wittgenstein and the Truth-Functionality Thesis. American Philosophical Quarterly 9 (3):271 - 274.
  14.  2
    Melvin Fitting (1977). Review: Hugues Leblanc, Semantic Deviations; Hughes Leblanc, George Weaver, Truth-Functionality and the Ramified Theory of Types. [REVIEW] Journal of Symbolic Logic 42 (2):313-313.
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  15.  72
    João Marcos (2009). What is a Non-Truth-Functional Logic? Studia Logica 92 (2):215 - 240.
    What is the fundamental insight behind truth-functionality ? When is a logic interpretable by way of a truth-functional semantics? To address such questions in a satisfactory way, a formal definition of truth-functionality from the point of view of abstract logics is clearly called for. As a matter of fact, such a definition has been available at least since the 70s, though to this day it still remains not very widely well-known. A clear distinction can be (...)
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  16.  5
    Christian G. Fermüller & Christoph Roschger (2014). From Games to Truth Functions: A Generalization of Giles's Game. Studia Logica 102 (2):389-410.
    Motivated by aspects of reasoning in theories of physics, Robin Giles defined a characterization of infinite valued Łukasiewicz logic in terms of a game that combines Lorenzen-style dialogue rules for logical connectives with a scheme for betting on results of dispersive experiments for evaluating atomic propositions. We analyze this game and provide conditions on payoff functions that allow us to extract many-valued truth functions from dialogue rules of a quite general form. Besides finite and infinite valued Łukasiewicz logics, also (...)
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  17. Carlos Caleiro, Walter Carnielli, Marcelo Coniglio & João Marcos (2005). Two's Company: The Humbug of Many Logical Values. In J. Y. Beziau (ed.), Logica Universalis. Birkhäuser Verlag 169-189.
    The Polish logician Roman Suszko has extensively pleaded in the 1970s for a restatement of the notion of many-valuedness. According to him, as he would often repeat, “there are but two logical values, true and false.” As a matter of fact, a result by W´ojcicki-Lindenbaum shows that any tarskian logic has a many-valued semantics, and results by Suszko-da Costa-Scott show that any many-valued semantics can be reduced to a two-valued one. So, why should one even consider using logics with more (...)
     
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  18. Rani Lill Anjum (2008). Three Dogmas of 'If'. In A. Leirfall & T. Sandmel (eds.), Enhet i Mangfold. Unipub
    In this paper I argue that a truth functional account of conditional statements ‘if A then B’ not only is inadequate, but that it eliminates the very conditionality expressed by ‘if’. Focusing only on the truth-values of the statements ‘A’ and ‘B’ and different combinations of these, one is bound to miss out on the conditional relation expressed between them. But this is not a flaw only of truth functionality and the material conditional. All approaches that (...)
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  19. Rani Lill Anjum (2007). The Logic of `If' — or How to Philosophically Eliminate Conditional Relations. Sorites 19:51-57.
    In this paper I present some of Robert N. McLaughlin's critique of a truth functional approach to conditionals as it appears in his book On the Logic of Ordinary Conditionals. Based on his criticism I argue that the basic principles of logic together amount to epistemological and metaphysical implications that can only be accepted from a logical atomist perspective. Attempts to account for conditional relations within this philosophical framework will necessarily fail. I thus argue that it is not (...) functionality as such that is the problem, but the philosophical foundation of modern logic. (shrink)
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  20.  33
    Ricardo Santos, Vagueza. Compêndio Em Linha de Problemas de Filosofia Analítica.
    Most words in natural language are vague, that is to say, they lack sharp boundaries and, hence, they have (actual or potential) borderline cases, where the word in question neither definitely applies nor definitely fails to apply. Vagueness gives rise to paradoxes, the best known of which is the sorites (concerned with how many grains of sand are needed to make a heap). Besides offering a solution to such paradoxes, a theory of vagueness should systematically describe how the truth (...)
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  21. Rani Lill Anjum (2012). What's Wrong with Logic? Argumentos 4 (8).
    The truth functional account of conditional statements ‘if A then B’ is not only inadequate; it eliminates the very conditionality expressed by ‘if’. Focusing only on the truth-values of the statements ‘A’ and ‘B’ and different combinations of these, one is bound to miss out on the conditional relation expressed between them. All approaches that treat conditionals as functions of their antecedents and consequents will end up in some sort of logical atomism where causal matters simply are reduced (...)
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  22.  15
    Joao Marcos (2008). Possible-Translations Semantics for Some Weak Classically-Based Paraconsistent Logics. Journal of Applied Non-Classical Logics 18 (1):7-28.
    In many real-life applications of logic it is useful to interpret a particular sentence as true together with its negation. If we are talking about classical logic, this situation would force all other sentences to be equally interpreted as true. Paraconsistent logics are exactly those logics that escape this explosive effect of the presence of inconsistencies and allow for sensible reasoning still to take effect. To provide reasonably intuitive semantics for paraconsistent logics has traditionally proven to be a challenge. (...)-translations semantics can meet that challenge by allowing for each interpretation to be composed of multiple scenarios. Using that idea, a logic with a complex semantic behavior can be understood as an appropriate combination of ingredient logics with simpler semantic behaviors into which the original logic is given a collection of translations preserving its soundness. Completeness is then achieved through the judicious choice of the admissible translating mappings. The present note provides interpretation by way of possible-translations semantics for a group of fundamental paraconsistent logics extending the positive fragment of classical propositional logic. The logics PI, Cmin, mbC, bC, mCi and Ci, among others, are all initially presented through their non-truth-functional bivaluation semantics and sequent versions and then split by way of possible-translations semantics based on 3-valued ingredients. (shrink)
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  23.  25
    Carlos Caleiro, Ricardo Gonçalves & Manuel Martins (2009). Behavioral Algebraization of Logics. Studia Logica 91 (1):63 - 111.
    We introduce and study a new approach to the theory of abstract algebraic logic (AAL) that explores the use of many-sorted behavioral logic in the role traditionally played by unsorted equational logic. Our aim is to extend the range of applicability of AAL toward providing a meaningful algebraic counterpart also to logics with a many-sorted language, and possibly including non-truth-functional connectives. The proposed behavioral approach covers logics which are not algebraizable according to the standard approach, while also bringing a (...)
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  24. Mahrad Almotahari (2014). The Identity of a Material Thing and its Matter. Philosophical Quarterly 64 (256):387-406.
    I have both a smaller and a larger aim. The smaller aim is polemical. Kit Fine believes that a material thing—a Romanesque statue, for example, or an open door—can be distinguished from its constituent matter—a piece of alloy, say, or a hunk of plastic—without recourse to modal or temporal considerations. The statue is Romanesque; the piece of alloy is not Romanesque. The door is open; the hunk of plastic is not open. I argue that these considerations, when combined with a (...)
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  25.  4
    Keith Stenning & Michiel Lambalgen (2004). A Little Logic Goes a Long Way: Basing Experiment on Semantic Theory in the Cognitive Science of Conditional Reasoning. Cognitive Science 28 (4):481-529.
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  26.  73
    Adam Rieger (2013). Conditionals Are Material: The Positive Arguments. Synthese 190 (15):3161-3174.
    A number of papers have argued in favour of the material account of indicative conditionals, but typically they either concentrate on defending the account from the charge that it has counterintuitive consequences, or else focus on some particular positive argument in favour of the theory. In this paper, I survey the various positive arguments that can be given, presenting simple versions where possible and showing the connections between them. I conclude with some methodological considerations.
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  27.  27
    Ariadna Chernavska (1981). The Impossibility of a Bivalent Truth-Functional Semantics for the Non-Boolean Propositional Structures of Quantum Mechanics. Philosophia 10 (1-2):1-18.
    The general fact of the impossibility of a bivalent, truth-functional semantics for the propositional structures determined by quantum mechanics should be more subtly demarcated according to whether the structures are taken to be orthomodular latticesP L or partial-Boolean algebrasP A; according to whether the semantic mappings are required to be truth-functional or truth-functional ; and according to whether two-or-higher dimensional Hilbert spaceP structures or three-or-higher dimensional Hilbert spaceP structures are being considered. If the quantumP structures are taken (...)
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  28. Susanne Bobzien (2003). Stoic Logic. In Brad Inwood (ed.), The Cambridge Companion to Stoic Philosophy. Cambridge University Press
    ABSTRACT: An introduction to Stoic logic. Stoic logic can in many respects be regarded as a fore-runner of modern propositional logic. I discuss: 1. the Stoic notion of sayables or meanings (lekta); the Stoic assertibles (axiomata) and their similarities and differences to modern propositions; the time-dependency of their truth; 2.-3. assertibles with demonstratives and quantified assertibles and their truth-conditions; truth-functionality of negations and conjunctions; non-truth-functionality of disjunctions and conditionals; language regimentation and ‘bracketing’ devices; Stoic (...)
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  29. D. M. Armstrong (2004). Truth and Truthmakers. Cambridge University Press.
    Truths are determined not by what we believe, but by the way the world is. Or so realists about truth believe. Philosophers call such theories correspondence theories of truth. Truthmaking theory, which now has many adherents among contemporary philosophers, is the most recent development of a realist theory of truth, and in this book D. M. Armstrong offers the first full-length study of this theory. He examines its applications to different sorts of truth, including contingent truths, (...)
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  30. Donald Davidson (1984). Inquiries Into Truth And Interpretation. Oxford University Press.
    Now in a new edition, this volume updates Davidson's exceptional Inquiries into Truth and Interpretation (1984), which set out his enormously influential philosophy of language. The original volume remains a central point of reference, and a focus of controversy, with its impact extending into linguistic theory, philosophy of mind, and epistemology. Addressing a central question--what it is for words to mean what they do--and featuring a previously uncollected, additional essay, this work will appeal to a wide audience (...)
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  31.  20
    Bertrand Russell (2013). An Inquiry Into Meaning and Truth. Routledge.
    Bertrand Russell is concerned in this book with the foundations of knowledge. He approaches his subject through a discussion of language, the relationships of truth to experience and an investigation into how knowledge of the structure of language helps our understanding of the structure of the world. This edition includes a new introduction by Thomas Baldwin, Clare College, Cambridge.
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  32.  85
    Trenton Merricks (2007). Truth and Ontology. Oxford University Press.
    Truth and Ontology concludes that some truths do not depend on being in any substantive way at all.
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  33. Hilary Putnam (1981). Reason, Truth, and History. Cambridge University Press.
    Hilary Putnam deals in this book with some of the most fundamental persistent problems in philosophy: the nature of truth, knowledge and rationality. His aim is to break down the fixed categories of thought which have always appeared to define and constrain the permissible solutions to these problems.
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  34. Dale Jacquette (2014). Logic and How It Gets That Way. Routledge.
    In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts (...)
     
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  35. Matti Eklund (2011). Recent Work on Vagueness. Analysis 71 (2):352-363.
    Vagueness, as discussed in the philosophical literature, is the phenomenon that paradigmatically rears its head in the sorites paradox, one prominent version of which is: One grain of sand does not make a heap. For any n, if n grains of sand do not make a heap, then n + 1 grains of sand do not make a heap. So, ten billion grains of sand do not make a heap. It is common ground that the different versions of the sorites (...)
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  36.  21
    Herman Cappelen & Torfinn Huvenes (forthcoming). Relative Truth. In Michael Glanzberg (ed.), Oxford Handbook of Truth. Oxford University Press
    An introduction to relativism about truth.
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  37.  31
    J. C. Beall (2009). Spandrels of Truth. Oxford University Press.
    In Spandrels of Truth, Beall concisely presents and defends a modest, so-called dialetheic theory of transparent truth.
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  38.  10
    Jean-Yves Béziau (2003). Logic May Be Simple. Logic, Congruence and Algebra. Logic and Logical Philosophy 5:129-147.
    This paper is an attempt to clear some philosophical questions about the nature of logic by setting up a mathematical framework. The notion of congruence in logic is defined. A logical structure in which there is no non-trivial congruence relation, like some paraconsistent logics, is called simple. The relations between simplicity, the replacement theorem and algebraization of logic are studied (including MacLane-Curry’s theorem and a discussion about Curry’s algebras). We also examine how these concepts are related to such notions as (...)
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  39.  47
    Geoffrey Hellman (1980). Quantum Logic and Meaning. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:493 - 511.
    Quantum logic as genuine non-classical logic provides no solution to the "paradoxes" of quantum mechanics. From the minimal condition that synonyms be substitutable salva veritate, it follows that synonymous sentential connectives be alike in point of truth-functionality. It is a fact of pure mathematics that any assignment Φ of (0, 1) to the subspaces of Hilbert space (dim. ≥ 3) which guarantees truth-preservation of the ordering and truth-functionality of QL negation, violates truth-functionality of (...)
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  40. Joseph Fulda (1999). Broadening and Deepening Yoes: The Theory of Conditional Elements. Sorites 10:15-18.
    We put forth a theory of conditional elements which can be used to dismiss apparent challenges to the truth-functionality of the conditional without apparent circularity. In the process, we refine the ideas of Yoes, published in an earlier paper in this journal, broadening and deepening them.
     
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  41.  8
    Marcos Silva (2014). Holismo E verofuncionalidade: Sobre um conflito lógico-filosófico essencial. Philósophos - Revista de Filosofia 18 (2):167-200.
    We advocate here that the tractarian image of Logic was the great responsible for its collapse. We examine then some mentions of colors in Wittgenstein´s first book to show that its logic holds a conflict between truth-functionality (explicitly assumed and advocated there) and a (hidden) holism. This antagonism was already set in the very formulation of its ontology. Wittgenstein himself admits he did not notice this by the time of the Tractatus ´ elaboration. If he had noticed it, (...)
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  42. Ariadna Chernavska (1980). Valuations for the Quantum Propositional Structures and Hidden Variables for Quantum Mechanics. Dissertation, The University of British Columbia (Canada)
    The final portion of the thesis surveys proposals for the introduction of hidden variables into quantum mechanics, proofs of the impossibility of such hidden-variable proposals, and criticisms of these impossibility proofs. And arguments in favour of the partial-Boolean algebra, rather than the orthomodular lattice, formalization of the quantum propositional structures are reviewed. ;As for , each quantum state-induced expectation-function on a P truth-functionally assigns 1 and 0 values to the elements in a ultrafilter and dual ultraideal of P, where (...)
     
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  43. Dale Jacquette (2008). Logic and How It Gets That Way. Routledge.
    In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts (...)
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  44. Dale Jacquette (2010). Logic and How It Gets That Way. Routledge.
    In this challenging and provocative analysis, Dale Jacquette argues that contemporary philosophy labours under a number of historically inherited delusions about the nature of logic and the philosophical significance of certain formal properties of specific types of logical constructions. Exposing some of the key misconceptions about formal symbolic logic and its relation to thought, language and the world, Jacquette clears the ground of some very well-entrenched philosophical doctrines about the nature of logic, including some of the most fundamental seldom-questioned parts (...)
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  45. James A. Thomas (1989). The Identity and Diversity of Attributes in the Absolute Idealism of Spinoza. Dissertation, University of Ottawa (Canada)
    The issue addressed in this thesis is one in the absolute idealism of Spinoza. It is one of specifying an interpretation of substance-attribute identity as a solution to the problem of reconciling it with the diversity of the attributes and the oneness of substance. As a testing ground for any proposed solution, a list of questions is generated. Given the countable diversity of the attributes, can we conceive of the identity of each of them with the one substance? Why, if (...)
     
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  46. Herman Cappelen & John Hawthorne (2009). Relativism and Monadic Truth. Oxford University Press.
    Relativism has dominated many intellectual circles, past and present, but the twentieth century saw it banished to the fringes of mainstream analytic philosophy. Of late, however, it is making something of a comeback within that loosely configured tradition, a comeback that attempts to capitalize on some important ideas in foundational semantics. Relativism and Monadic Truth aims not merely to combat analytic relativism but also to combat the foundational ideas in semantics that led to its revival. Doing so requires a (...)
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  47.  88
    John MacFarlane (2014). Assessment Sensitivity: Relative Truth and its Applications. OUP Oxford.
    John MacFarlane explores how we might make sense of the idea that truth is relative. He provides new, satisfying accounts of parts of our thought and talk that have resisted traditional methods of analysis, including what we mean when we talk about what is tasty, what we know, what will happen, what might be the case, and what we ought to do.
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  48. Paul Horwich (2005). Truth. In Frank Jackson & Michael Smith (eds.), Erkenntnis. Oxford University Press 261-272.
    What is truth. Paul Horwich advocates the controversial theory of minimalism, that is that the nature of truth is entirely captured in the trivial fact that each proposition specifies its own condition for being true, and that truth is therefore an entirely mundane and unpuzzling concept. The first edition of Truth, published in 1980, established itself as the best account of minimalism and as an excellent introduction to the debate for students. For this new edition, Horwich (...)
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  49.  80
    Hartry H. Field (2008). Saving Truth From Paradox. Oxford University Press.
    A selective background -- Broadly classical approaches -- Paracompleteness -- More on paracomplete solutions -- Paraconsistent dialetheism.
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  50. John MacFarlane (2008). Truth in the Garden of Forking Paths. In Max K”Obel & Manuel Garcia-Carpintero (eds.), Relative Truth. Oxford University Press 81--102.
    From García-Carpintero and Kölbel, eds, Relative Truth.
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