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The concept of truth in formalized languages

In A. Tarski (ed.), Logic, Semantics, Metamathematics. Oxford University Press. pp. 152--278 (1936)

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  1. Základy explikace sémantických pojmů [Foundations of Explication of Semantic Concepts.Jiří Raclavský - 2012 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 19 (4):488-505.
    It is a truism that semantic concepts are relative to language. I distinguish two kinds of them in accordance to their relativity to language L; the relativity is either explicit , or implicit . If language is explicated, the concepts of the former kind can be easily explicated in a plausible way and we resist semantic paradoxes. In the case of the latter concepts, the explication is also accessible and paradox-free. One can find then new interesting facts concerning famous Tarski’s (...)
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  • Self-Referential Probability.Catrin Campbell-Moore - 2016 - Dissertation, Ludwig-Maximilians-Universität München
    This thesis focuses on expressively rich languages that can formalise talk about probability. These languages have sentences that say something about probabilities of probabilities, but also sentences that say something about the probability of themselves. For example: (π): “The probability of the sentence labelled π is not greater than 1/2.” Such sentences lead to philosophical and technical challenges; but can be useful. For example they bear a close connection to situations where ones confidence in something can affect whether it is (...)
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  • Context-Free Semantics.Paolo Santorio - 2019 - In Ernie LePore & David Sosa (eds.), Oxford Studies in Philosophy of Language, Volume 1. Oxford University Press. pp. 208-239.
    On a traditional view, the semantics of natural language makes essential use of a context parameter, i.e. a set of coordinates that represents the situation of speech. In classical semantic frameworks, this parameter plays two key roles: first, context contributes to determining the content of utterance; second, it is crucial for defining logical consequence. I point out that recent empirical proposals about context shift in natural language (in particular, context-shifting semantics in the style of Anand and Nevins 2004) are incompatible (...)
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  • Strategic Maneuvering in Mathematical Proofs.Erik C. W. Krabbe - 2008 - Argumentation 22 (3):453-468.
    This paper explores applications of concepts from argumentation theory to mathematical proofs. Note is taken of the various contexts in which proofs occur and of the various objectives they may serve. Examples of strategic maneuvering are discussed when surveying, in proofs, the four stages of argumentation distinguished by pragma-dialectics. Derailments of strategies are seen to encompass more than logical fallacies and to occur both in alleged proofs that are completely out of bounds and in alleged proofs that are at least (...)
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  • Assessment Sensitivity: Relative Truth and its Applications.John MacFarlane - 2014 - Oxford University Press.
    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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  • Omega-Inconsistency Without Cuts and Nonstandard Models.Andreas Fjellstad - 2016 - Australasian Journal of Logic 13 (5).
    This paper concerns the relationship between transitivity of entailment, omega-inconsistency and nonstandard models of arithmetic. First, it provides a cut-free sequent calculus for non-transitive logic of truth STT based on Robinson Arithmetic and shows that this logic is omega-inconsistent. It then identifies the conditions in McGee for an omega-inconsistent logic as quantified standard deontic logic, presents a cut-free labelled sequent calculus for quantified standard deontic logic based on Robinson Arithmetic where the deontic modality is treated as a predicate, proves omega-inconsistency (...)
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  • Future Contingents and the Logic of Temporal Omniscience.Patrick Todd & Brian Rabern - forthcoming - Noûs.
    At least since Aristotle’s famous 'sea-battle' passages in On Interpretation 9, some substantial minority of philosophers has been attracted to the doctrine of the open future--the doctrine that future contingent statements are not true. But, prima facie, such views seem inconsistent with the following intuition: if something has happened, then (looking back) it was the case that it would happen. How can it be that, looking forwards, it isn’t true that there will be a sea battle, while also being true (...)
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  • ASL Loci: Variables or Features?Jeremy Kuhn - 2016 - Journal of Semantics 33 (3):449-491.
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  • Structured Propositions in a Generative Grammar.Bryan Pickel - 2019 - Mind (510):329-366.
    Semantics in the Montagovian tradition combines two basic tenets. One tenet is that the semantic value of a sentence is an intension, a function from points of evaluations into truth-values. The other tenet is that the semantic value of a composite expression is the result of applying the function denoted by one component to arguments denoted by the other components. Many philosophers object to intensional semantics on the grounds that intensionally equivalent sentences do not substitute salva veritate into attitude ascriptions. (...)
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  • A Psycholinguistic Study of the Exhaustive Readings of Embedded Questions.Alexandre Cremers & Emmanuel Chemla - 2016 - Journal of Semantics 33 (1):49-85.
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  • Explication.Moritz Cordes & Geo Siegwart - 2018 - Internet Encyclopedia of Philosophy.
    This encyclopedia article provides a procedural account of explication outlining each step that is part of the overall explicative effort (2). It is prefaced by a summary of the historical development of the method (1). The latter part of the article includes a rough structural theory of explication (3) and a detailed presentation of an examplary explication taken from the history of philosophy and the foundations of mathematics (4).
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  • Against the Russellian Open Future.Anders J. Schoubye & Brian Rabern - 2017 - Mind 126 (504): 1217–1237.
    Todd (2016) proposes an analysis of future-directed sentences, in particular sentences of the form 'will(φ)', that is based on the classic Russellian analysis of definite descriptions. Todd's analysis is supposed to vindicate the claim that the future is metaphysically open while retaining a simple Ockhamist semantics of future contingents and the principles of classical logic, i.e. bivalence and the law of excluded middle. Consequently, an open futurist can straightforwardly retain classical logic without appeal to supervaluations, determinacy operators, or any further (...)
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  • The Modality and Non-Extensionality of the Quantifiers.Arnold Koslow - 2019 - Synthese 196 (7):2545-2554.
    We shall try to defend two non-standard views that run counter to two well-entrenched familiar views. The standard views are the universal and existential quantifiers of first-order logic are not modal operators, and the quantifiers are extensional. If that is correct then the counterclaims create genuine problems for some traditional philosophical doctrines.
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  • Minimalism and Truth.John O'Leary-Hawthorne & Graham Oppy - 1997 - Noûs 31 (2):170-196.
    This paper canvasses the various dimensions along which theories of truth may disagree about the extent to which truth is minimal.
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  • Disquotation, Conditionals, and the Liar.John Barker - 2009 - Polish Journal of Philosophy 3 (1):5-21.
    In this paper I respond to Jacquette’s criticisms, in (Jacquette, 2008), of my (Barker, 2008). In so doing, I argue that the Liar paradox is in fact a problem about the disquotational schema, and that nothing in Jacquette’s paper undermines this diagnosis.
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  • The Role of Concepts in Fixing Language.Sarah Sawyer - forthcoming - Canadian Journal of Philosophy.
    This is a contribution to the symposium on Herman Cappelen’s Fixing Language. Cappelen proposes a metasemantic framework—the ‘Austerity Framework’—within which to understand the general phenomenon of conceptual engineering. The proposed framework is austere in the sense that it makes no reference to concepts. Conceptual engineering is then given a ‘worldly’ construal according to which conceptual engineering is a process that operates on the world. I argue, contra Cappelen, that an adequate theory of conceptual engineering must make reference to concepts. This (...)
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  • What Are Logical Notions?John Corcoran & Alfred Tarski - 1986 - History and Philosophy of Logic 7 (2):143-154.
    In this manuscript, published here for the first time, Tarski explores the concept of logical notion. He draws on Klein's Erlanger Programm to locate the logical notions of ordinary geometry as those invariant under all transformations of space. Generalizing, he explicates the concept of logical notion of an arbitrary discipline.
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  • Ordinary Truth in Tarski and Næss.Joseph Ulatowski - 2016 - In Adrian Kuzniar & Joanna Odrowąż-Sypniewska (eds.), Uncovering Facts and Values. Brill. pp. 67-90.
    Alfred Tarski seems to endorse a partial conception of truth, the T-schema, which he believes might be clarified by the application of empirical methods, specifically citing the experimental results of Arne Næss (1938a). The aim of this paper is to argue that Næss’ empirical work confirmed Tarski’s semantic conception of truth, among others. In the first part, I lay out the case for believing that Tarski’s T-schema, while not the formal and generalizable Convention-T, provides a partial account of truth that (...)
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  • Reference, Truth, and Biological Kinds.Marcel Weber - 2014 - In: J. Dutant, D. Fassio and A. Meylan (Eds.) Liber Amicorum Pascal Engel.
    This paper examines causal theories of reference with respect to how plausible an account they give of non-physical natural kind terms such as ‘gene’ as well as of the truth of the associated theoretical claims. I first show that reference fixism for ‘gene’ fails. By this, I mean the claim that the reference of ‘gene’ was stable over longer historical periods, for example, since the classical period of transmission genetics. Second, I show that the theory of partial reference does not (...)
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  • Talking With Objects -2013.Roger Wertheimer - manuscript
    Talking about objects requires talking with objects, presenting objects in speech to identify a term's referent. I say This figure is a circle while handing you a ring. The ring is a prop, a perceptual object referenced by an extra-sentential event to identify the extension of a term, its director ('This figure'). Props operate in speech acts and their products, not in sentences. Intra-sentential objects we talk with are displays. Displayed objects needn't be words but must be like words, perceptually, (...)
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  • On Horwich's Way Out.Panu Raatikainen - 2005 - Analysis 65 (3):175-177.
    The minimalist view of truth endorsed by Paul Horwich denies that truth has any underlying nature. According to minimalism, the truth predicate ‘exists solely for the sake of a certain logical need’; ‘the function of the truth predicate is to enable the explicit formulation of schematic generalizations’. Horwich proposes that all there really is to truth follows from the equivalence schema: The proposition that p is true iff p, or, using Horwich’s notation, ·pÒ is true ´ p. The (unproblematic) instances (...)
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  • Semantic Arithmetic: A Preface.John Corcoran - 1995 - Agora 14 (1):149-156.
    SEMANTIC ARITHMETIC: A PREFACE John Corcoran Abstract Number theory, or pure arithmetic, concerns the natural numbers themselves, not the notation used, and in particular not the numerals. String theory, or pure syntax, concems the numerals as strings of «uninterpreted» characters without regard to the numbe~s they may be used to denote. Number theory is purely arithmetic; string theory is purely syntactical... in so far as the universe of discourse alone is considered. Semantic arithmetic is a broad subject which begins when (...)
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  • Consciousness: A Four-Fold Taxonomy.J. Jonkisz - 2012 - Journal of Consciousness Studies 19 (11-12):55-82.
    This paper argues that the many and various conceptions of consciousness propounded by cognitive scientists and philosophers can all be understood as constituted with reference to four fundamental sorts of criterion: epistemic (concerned with kinds of consciousness), semantic (dealing with orders of consciousness), physiological (reflecting states of consciousness), and pragmatic (seeking to capture types of consciousness). The resulting four-fold taxonomy, intended to be exhaustive, suggests that all of the distinct varieties of consciousness currently encountered in cognitive neuroscience, the philosophy of (...)
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  • Truth, Meaning, and Translation.Panu Raatikainen - 2008 - In Douglas Patterson (ed.), New essays on Tarski and philosophy. O.University Press. pp. 247.
    Philosopher’s judgements on the philosophical value of Tarski’s contributions to the theory of truth have varied. For example Karl Popper, Rudolf Carnap, and Donald Davidson have, in their different ways, celebrated Tarski’s achievements and have been enthusiastic about their philosophical relevance. Hilary Putnam, on the other hand, pronounces that “[a]s a philosophical account of truth, Tarski’s theory fails as badly as it is possible for an account to fail.” Putnam has several alleged reasons for his dissatisfaction,1 but one of them, (...)
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  • ‘Identity’ as a Mereological Term.Jeroen Smid - 2017 - Synthese 194 (7):2367-2385.
    The mereological predicate ‘is part of’ can be used to define the predicate ‘is identical with’. I argue that this entails that mereological theories can be ideologically simpler than nihilistic theories that do not use the notion of parthood—contrary to what has been argued by Ted Sider. Moreover, if one accepts an extensional mereology, there are good philosophical reasons apart from ideological simplicity to give a mereological definition of identity.
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  • The Deferred Ostension Theory of Quotation.Manuel Garcia-Carpintero - 2004 - Noûs 38 (4):674 - 692.
    I defend a Deferred Ostension view of quotation, on which quotation-marks are the linguistic bearers of reference, functioning like a demonstrative; the quoted material merely plays the role of a demonstratum. On this view, the quoted material works like Nunberg’s indexes in his account of deferred ostensión in general. The referent is obtained through some contextually suggested relation; in the default case the relation will be … instantiates the linguistic type __, but there are other possibilities. In this way, the (...)
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  • Higher-Order Free Logic and the Prior-Kaplan Paradox.Andrew Bacon, John Hawthorne & Gabriel Uzquiano - 2016 - Canadian Journal of Philosophy 46 (4-5):493-541.
    The principle of universal instantiation plays a pivotal role both in the derivation of intensional paradoxes such as Prior’s paradox and Kaplan’s paradox and the debate between necessitism and contingentism. We outline a distinctively free logical approach to the intensional paradoxes and note how the free logical outlook allows one to distinguish two different, though allied themes in higher-order necessitism. We examine the costs of this solution and compare it with the more familiar ramificationist approaches to higher-order logic. Our assessment (...)
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  • A Correspondence Theory of Truth.Jay Newhard - 2002 - Dissertation, Brown University
    The aim of this dissertation is to offer and defend a correspondence theory of truth. I begin by critically examining the coherence, pragmatic, simple, redundancy, disquotational, minimal, and prosentential theories of truth. Special attention is paid to several versions of disquotationalism, whose plausibility has led to its fairly constant support since the pioneering work of Alfred Tarski, through that by W. V. Quine, and recently in the work of Paul Horwich. I argue that none of these theories meets the correspondence (...)
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  • Liar-Like Paradoxes and Metalanguage Features.Klaus Ladstaetter - 2013 - Southwest Philosophy Review 29 (1):61-70.
    In their (2008) article Liar-Like Paradox and Object Language Features C.S. Jenkins and Daniel Nolan (henceforth, JN) argue that it is possible to construct Liar-like paradox in a metalanguage even though its object language is not semantically closed. I do not take issue with this claim. I find fault though with the following points contained in JN’s article: First, that it is possible to construct Liar-like paradox in a metalanguage, even though this metalanguage is not semantically closed. Second, that the (...)
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  • Algorithmic Information Theory and Undecidability.Panu Raatikainen - 2000 - Synthese 123 (2):217-225.
    Chaitin’s incompleteness result related to random reals and the halting probability has been advertised as the ultimate and the strongest possible version of the incompleteness and undecidability theorems. It is argued that such claims are exaggerations.
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  • More on Putnam and Tarski.Panu Raatikainen - 2003 - Synthese 135 (1):37 - 47.
    Hilary Putnam's famous arguments criticizing Tarski's theory of truth are evaluated. It is argued that they do not succeed to undermine Tarski's approach. One of the arguments is based on the problematic idea of a false instance of T-schema. The other ignores various issues essential for Tarski's setting such as language-relativity of truth definition.
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  • O problema ontológico da consciência na mecânica quântica.Raoni Wohnrath Arroyo - 2015 - Dissertation, Universidade Estadual de Maringá
    Quantum mechanics is an area of Physics that deals with subatomic phenomena. It can be extracted from a vision of the physical world which contradicts many aspects of our everyday perception, prompting many philosophical debates and admitting different interpretations. Among the wide range of problems within the interpretation of quantum theory, there is the measurement problem. Some philosophical aspects of the problems concerning the notion of “measurement” in quantum mechanics are analyzed in order to identify how the problem arises in (...)
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  • Donald Davidson.Ernest Lepore & Kirk Ludwig - 2004 - Midwest Studies in Philosophy 28 (1):309–333.
    This chapter reviews the major contributions of Donald Davidson to philosophy in the 20th century.
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  • New Grounds for Naive Truth Theory.Stephen Yablo - 2004 - In J. C. Beall (ed.), Liars and Heaps: New Essays on Paradox. Clarendon Press. pp. 312-330.
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  • Lost in Translation?Giulia Felappi & Marco Santambrogio - 2019 - Topoi 38 (2):265-276.
    According to neo-Russellianism, in a sentence such as John believes that Mont Blanc is 4000 m high, any other proper name co-referring with Mont Blanc can be substituted for it without any change in the proposition expressed. Prima facie, our practice of translation shows that this cannot be correct. We will then show that neo-Russellians have a way out of this problem, which consists in holding that actual translations are not a matter of semantics, but also make an attempt at (...)
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  • TRUTH: A Concept Unlike Any Other.Jamin Asay - forthcoming - Synthese:1-26.
    This paper explores the nature of the concept of truth. It does not offer an analysis or definition of truth, or an account of how it relates to other concepts. Instead, it explores what sort of concept truth is by considering what sorts of thoughts it enables us to think. My conclusion is that truth is a part of each and every propositional thought. The concept of truth is therefore best thought of as the ability to token propositional thoughts. I (...)
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  • Truth Without Standard Models: Some Conceptual Problems Reloaded.Eduardo Barrio & Bruno Da Ré - 2018 - Journal of Applied Non-Classical Logics 28 (1):122-139.
    A theory of truth is usually demanded to be consistent, but -consistency is less frequently requested. Recently, Yatabe has argued in favour of -inconsistent first-order theories of truth, minimising their odd consequences. In view of this fact, in this paper, we present five arguments against -inconsistent theories of truth. In order to bring out this point, we will focus on two very well-known -inconsistent theories of truth: the classical theory of symmetric truth FS and the non-classical theory of naïve truth (...)
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  • Grounding Reichenbach’s Pragmatic Vindication of Induction.Michael J. Shaffer - 2017 - Polish Journal of Philosophy 11 (1):43-55.
    This paper has three interdependent aims. The first is to make Reichenbach’s views on induction and probabilities clearer, especially as they pertain to his pragmatic justification of induction. The second aim is to show how his view of pragmatic justification arises out of his commitment to extensional empiricism and moots the possibility of a non-pragmatic justification of induction. Finally, and most importantly, a formal decision-theoretic account of Reichenbach’s pragmatic justification is offered in terms both of the minimax principle and the (...)
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  • Horwich's Minimalist Conception of Truth: Some Logical Difficulties.Sten Lindström - 2001 - Logic and Logical Philosophy 9:161-181.
    Aristotle’s words in the Metaphysics: “to say of what is that it is, or of what is not that it is not, is true” are often understood as indicating a correspondence view of truth: a statement is true if it corresponds to something in the world that makes it true. Aristotle’s words can also be interpreted in a deflationary, i.e., metaphysically less loaded, way. According to the latter view, the concept of truth is contained in platitudes like: ‘It is true (...)
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  • Sanningens paradoxer: om ändliga och oändliga lögnare.Sten Lindström - 2000 - Filosofisk Tidskrift 3.
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  • Semantics of Indexicals and Indirect (Reported) Speech سيمانطيقا المؤشرات اللفظية والكلام غير المباشر.Salah Osman - 2001 - Menoufia University, Faculty of Arts Journal, Egypt 46:127 - 166.
    يناقش البحث إحدى روافد مشكلة المعنى، أو بالأحرى لإحدى مشكلاتها الفرعية التي ألقت بظلالها على معالجات الفلاسفة، لا لطبيعة المعنى فحسب، ولكن أيضًا لشروط صدق أية جملة في اللغات الطبيعية، وما يتبع ذلك من إشكالات تتعلق باستخدام اللغة في كافة مواقفنا الحياتية تقريبًا. تلك هي مشكلة المؤشرات اللفظية ذات الدلالة المباشرة، وكيف يمكن أن تؤدى إلى تعيينٍ صحيح للمعنى حين تُنقل عن ألسنة الغير لتتحــول إلــى منطوقات غير مباشرة.
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  • A Case Study on Computational Hermeneutics: E. J. Lowe’s Modal Ontological Argument.David Fuenmayor & Christoph Benzmueller - manuscript
    Computers may help us to better understand (not just verify) arguments. In this article we defend this claim by showcasing the application of a new, computer-assisted interpretive method to an exemplary natural-language ar- gument with strong ties to metaphysics and religion: E. J. Lowe’s modern variant of St. Anselm’s ontological argument for the existence of God. Our new method, which we call computational hermeneutics, has been particularly conceived for use in interactive-automated proof assistants. It aims at shedding light on the (...)
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  • Truth & Transcendence: Turning the Tables on the Liar Paradox.Gila Sher - 2017 - In Bradley Armour-Garb (ed.), Reflections on the Liar. Oxford: Oxford University Press. pp. 281-306.
    Confronting the Liar Paradox is commonly viewed as a prerequisite for developing a theory of truth. In this paper I turn the tables on this traditional conception of the relation between the two. The theorist of truth need not constrain his search for a “material” theory of truth, i.e., a theory of the philosophical nature of truth, by committing himself to one solution or another to the Liar Paradox. If he focuses on the nature of truth (leaving issues of formal (...)
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  • Truth and Scientific Change.Gila Sher - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (3):371-394.
    The paper seeks to answer two new questions about truth and scientific change: What lessons does the phenomenon of scientific change teach us about the nature of truth? What light do recent developments in the theory of truth, incorporating these lessons, throw on problems arising from the prevalence of scientific change, specifically, the problem of pessimistic meta-induction?
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  • Substantivism About Truth.Gila Sher - 2016 - Philosophy Compass 11 (12):818-828.
    Substantivism is a general philosophical methodology advocating a substantive approach to philosophical theorizing. In this article, I present an overview of this methodology with a special emphasis on the field of truth. I begin with a framework for understanding what is at stake in the substantivist–deflationist debate and describe the substantivist critique of deflationism. I then proceed to discuss contemporary substantivism as a positive methodology, present examples of recent substantivist theories of truth, delineate several principles of philosophical substantivism, and connect (...)
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  • Tarski and Primitivism About Truth.Jamin Asay - 2013 - Philosophers' Imprint 13:1-18.
    Tarski’s pioneering work on truth has been thought by some to motivate a robust, correspondence-style theory of truth, and by others to motivate a deflationary attitude toward truth. I argue that Tarski’s work suggests neither; if it motivates any contemporary theory of truth, it motivates conceptual primitivism, the view that truth is a fundamental, indefinable concept. After outlining conceptual primitivism and Tarski’s theory of truth, I show how the two approaches to truth share much in common. While Tarski does not (...)
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  • The Hard Road to Presentism.Jamin Asay & Sam Baron - 2014 - Pacific Philosophical Quarterly 95 (3):314-335.
    It is a common criticism of presentism – the view according to which only the present exists – that it errs against truthmaker theory. Recent attempts to resolve the truthmaker objection against presentism proceed by restricting truthmaker maximalism (the view that all truths have truthmakers), maintaining that propositions concerning the past are not made true by anything, but are true nonetheless. Support for this view is typically garnered from the case for negative existential propositions, which some philosophers contend are exceptions (...)
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  • The Inherent Risks in Using a Name-Forming Function at Object Language Level.Ferenc András - 2015 - The Reasoner 9 (5).
    The Truth problem is one of the central problems of philosophy. Nowadays, every major theory of truth that applies to formal languages utilizes devices referring to formulae. Such devices include name-forming functions. The theory of truth discussed in this paper applies to strict formal logic languages, the critique of which must, therefore, also obey mathematical rigour. This is why I have used formal logic derivations below rather than the argumentation of ordinary language.
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  • Compositional Principles Vs. Schematic Reasoning.Hartry Field - 2006 - The Monist 89 (1):9-27.
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  • Plurals.Agustín Rayo - 2007 - Philosophy Compass 2 (3):411–427.
    Forthcoming in Philosophical Compass. I explain why plural quantifiers and predicates have been thought to be philosophically significant.
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