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The concept of truth in formalized languages

In Logic, semantics, metamathematics. Oxford,: Clarendon Press. pp. 152--278 (1956)

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  1. Unrestricted quantification and ranges of significance.Thomas Schindler - 2022 - Philosophical Studies 180 (5):1579-1600.
    Call a quantifier ‘unrestricted’ if it ranges over absolutely all objects. Arguably, unrestricted quantification is often presupposed in philosophical inquiry. However, developing a semantic theory that vindicates unrestricted quantification proves rather difficult, at least as long as we formulate our semantic theory within a classical first-order language. It has been argued that using a type theory as framework for our semantic theory provides a resolution of this problem, at least if a broadly Fregean interpretation of type theory is assumed. However, (...)
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  • Type-Ambiguous Names.Anders J. Schoubye - 2017 - Mind 126 (503):715-767.
    The orthodox view of proper names, Millianism, provides a very simple and elegant explanation of the semantic contribution of referential uses of names–names that occur as bare singulars and as the argument of a predicate. However, one problem for Millianism is that it cannot explain the semantic contribution of predicative uses of names. In recent years, an alternative view, so-called the-predicativism, has become increasingly popular. According to the-predicativists, names are uniformly count nouns. This straightforwardly explains why names can be used (...)
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  • Truth and reference.Richard Schantz - 2001 - Synthese 126 (1-2):261 - 281.
    The article defends a modern version of the correspondence theory of truth, one which explains the truth of a statement in terms of referential relations between its parts and aspects of the world. Davidson's views on truth are discussed in detail and, in particular, a critical eye is cast over his degradation of the concept of reference which, if successful, would preclude the possibility of developing a full-blooded correspondence theory.
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  • Quine and the Problem of Truth.Joshua Schwartz - 2016 - Journal for the History of Analytical Philosophy 4 (10).
    Widespread deflationistic readings of Quine misrepresent his view of disquotation’s significance and the truth predicate’s utility. I demonstrate this by answering a question that philosophers have not directly addressed: how does Quine understand the philosophical problem of truth? A primary thesis of this paper is that we can answer this question only by working from within Quine’s naturalistic framework. Drawing on neglected texts from Quine's corpus, I defend the view that, for Quine, the problem of truth emerges from the development (...)
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  • Prädikative Klassen.Ralf-Dieter Schindler - 1993 - Erkenntnis 39 (2):209 - 241.
    We consider certain predicative classes with respect to their bearing on set theory, namely on its semantics, and on its ontological power. On the one hand, our predicative classes will turn out to be perfectly suited for establishing a nice hierarchy of metalanguages starting from the usual set theoretical language. On the other hand, these classes will be seen to be fairly inappropriate for the formulation of strong principles of infinity. The motivation for considering this very type of classes is (...)
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  • Meaning and Formal Semantics in Generative Grammar.Stephen Schiffer - 2015 - Erkenntnis 80 (1):61-87.
    A generative grammar for a language L generates one or more syntactic structures for each sentence of L and interprets those structures both phonologically and semantically. A widely accepted assumption in generative linguistics dating from the mid-60s, the Generative Grammar Hypothesis , is that the ability of a speaker to understand sentences of her language requires her to have tacit knowledge of a generative grammar of it, and the task of linguistic semantics in those early days was taken to be (...)
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  • Disquotation and Infinite Conjunctions.Thomas Schindler & Lavinia Picollo - 2017 - Erkenntnis 83 (5):899-928.
    One of the main logical functions of the truth predicate is to enable us to express so-called ‘infinite conjunctions’. Several authors claim that the truth predicate can serve this function only if it is fully disquotational, which leads to triviality in classical logic. As a consequence, many have concluded that classical logic should be rejected. The purpose of this paper is threefold. First, we consider two accounts available in the literature of what it means to express infinite conjunctions with a (...)
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  • Charles Parsons on the liar paradox.David Schmidtz - 1990 - Erkenntnis 32 (3):419 - 422.
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  • Confessions of a schmentencite: towards an explicit semantics.Jonathan Schaffer - 2021 - Inquiry: An Interdisciplinary Journal of Philosophy 64 (5-6):593-623.
    ABSTRACT Natural language semantics is heir to two formalisms. There is the extensional machinery of explicit variables traditionally used to model reference to individuals, and the intensional machinery of implicit index parameters traditionally used to model reference to worlds and times. I propose instead a simple and unified extensional formalism – explicit semantics – on which all sentences include explicit individual, world and time variables. No implicit index parameters are needed.
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  • Conceptual engineering for truth: aletheic properties and new aletheic concepts.Kevin Scharp - 2020 - Synthese (Suppl 2):1-42.
    What is the property of being true like? To answer this question, begin with a Canberra-plan analysis of the concept of truth. That is, assemble the platitudes for the concept of truth, and then investigate which property might satisfy them. This project is aided by Friedman and Sheard’s groundbreaking analysis of twelve logical platitudes for truth. It turns out that, because of the paradoxes like the liar, the platitudes for the concept of truth are inconsistent. Moreover, there are so many (...)
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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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  • A Liar-Like Paradox for Rational Reflection Principles.Joshua Schechter - forthcoming - Analysis.
    This article shows that there is a liar-like paradox that arises for rational credence that relies only on very weak logical and credal principles. The paradox depends on a weak rational reflection principle, logical principles governing conjunction, and principles governing the relationship between rational credence and proof. To respond to this paradox, we must either reject even very weak rational reflection principles or reject some highly plausible logical or credal principle.
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  • A Disquotational Theory of Truth as Strong as Z 2 −.Thomas Schindler - 2015 - Journal of Philosophical Logic 44 (4):395-410.
    T-biconditionals have often been regarded as insufficient as axioms for truth. This verdict is based on Tarski’s observation that the typed T-sentences suffer from deductive weakness. As indicated by McGee, the situation might change radically if we consider type-free disquotational theories of truth. However, finding a well-motivated set of untyped T-biconditionals that is consistent and recursively enumerable has proven to be very difficult. Moreover, some authors ) have argued that any solution to the semantic paradoxes necessarily involves ‘inflationary’ means, thus (...)
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  • Aboutness and ontology: a modest approach to truthmakers.Arthur Schipper - 2020 - Philosophical Studies 177 (2):505-533.
    Truthmaker theory has been used to argue for substantial conclusions about the categorial structure of the world, in particular that states of affairs are needed to play the role of truthmakers. In this paper, I argue that closely considering the role of aboutness in truthmaking, that is considering what truthbearers are about, yields the result that there is no good truthmaker-based reason to think that truthmakers must be states of affairs understood as existing entities, whether complex or simple. First, I (...)
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  • The Tree Theory and Isomorphism.Charles Sayward - 1980 - Analysis 41 (1):6-11.
    A main thesis of Fred Sommers' type theory, is that an isomorphism exists between any natural language and the categories discriminated by that language. Here the author gives an explanation of what this claim comes to. And then it is argued that, so understood, the claim is incompatible with Zermelo-Fraenkel set theory. Finally, it is argued against trying to salvage the isomorphism thesis by appealing to some other set theory.
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  • Geach on Generalization.Charles Sayward - 2002 - Dialogue 41 (2):221-.
    There are plausible objections to substitutional construals of generalization. But these objections do not apply to a substitutional construal of generalization proposed by Peter Geach several years ago. This paper examines Geach’s conception.
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  • The Role of Concepts in Fixing Language.Sarah Sawyer - 2020 - Canadian Journal of Philosophy 50 (5):555-565.
    This is a contribution to the symposium on Herman Cappelen’s book 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. (...)
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  • Quinean worlds: Possibilist ontology in an extenionalist framework.Pedro Santos - 2014 - Grazer Philosophische Studien 89 (1):205-230.
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  • A generalization of the Łoś–Tarski preservation theorem.Abhisekh Sankaran, Bharat Adsul & Supratik Chakraborty - 2016 - Annals of Pure and Applied Logic 167 (3):189-210.
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  • Logical consequence revisited.José M. Sagüillo - 1997 - Bulletin of Symbolic Logic 3 (2):216-241.
    Tarski's 1936 paper, “On the concept of logical consequence”, is a rather philosophical, non-technical paper that leaves room for conflicting interpretations. My purpose is to review some important issues that explicitly or implicitly constitute its themes. My discussion contains four sections: terminological and conceptual preliminaries, Tarski's definition of the concept of logical consequence, Tarski's discussion of omega-incomplete theories, and concluding remarks concerning the kind of conception that Tarski's definition was intended to explicate. The third section involves subsidiary issues, such as (...)
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  • Logical Nihilism: Could There Be No Logic?Gillian Russell - 2018 - Philosophical Issues 28 (1):308-324.
    Logical monists and pluralists disagree about how many correct logics there are; the monists say there is just one, the pluralists that there are more. Could it turn out that both are wrong, and that there is no logic at all?
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  • Platitudes against paradox.Sven Rosenkranz & Arash Sarkohi - 2006 - Erkenntnis 65 (3):319 - 341.
    We present a strategy to dissolve semantic paradoxes which proceeds from an explanation of why paradoxical sentences or their definitions are semantically defective. This explanation is compatible with the acceptability of impredicative definitions, self-referential sentences and semantically closed languages and leaves the status of the so-called truth-teller sentence unaffected. It is based on platitudes which encode innocuous constraints on successful definition and successful expression of propositional content. We show that the construction of liar paradoxes and of certain versions of Curry’s (...)
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  • Platitudes against Paradox.Sven Rosenkranz & Arash Sarkohi - 2007 - Erkenntnis 65 (3):319-341.
    We present a strategy to dissolve semantic paradoxes which proceeds from an explanation of why paradoxical sentences or their definitions are semantically defective. This explanation is compatible with the acceptability of impredicative definitions, self-referential sentences and semantically closed languages and leaves the status of the so-called truth-teller sentence unaffected. It is based on platitudes which encode innocuous constraints on successful definition and successful expression of propositional content. We show that the construction of liar paradoxes and of certain versions of Curry's (...)
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  • Husserl’s relevance for the philosophy and foundations of mathematics.Guillermo E. Rosado Haddock - 1997 - Axiomathes 8 (1):125-142.
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  • Classical recapture and maximality.Lucas Rosenblatt - 2020 - Philosophical Studies 178 (6):1951-1970.
    The idea of classical recapture has played a prominent role for non-classical logicians. In the specific case of non-classical theories of truth, although we know that it is not possible to retain classical logic for every statement involving the truth predicate, it is clear that for many such statements this is in principle feasible, and even desirable. What is not entirely obvious or well-known is how far this idea can be pushed. Can the non-classical theorist retain classical logic for every (...)
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  • Consciousness, content, and metacognitive judgments.David M. Rosenthal - 2000 - Consciousness and Cognition 9 (2):203-214.
    Because metacognition consists in our having mental access to our cognitive states and mental states are conscious only when we are conscious of them in some suitable way, metacognition and consciousness shed important theoretical light on one another. Thus, our having metacognitive access to information carried by states that are not conscious helps con?rm the hypothesis that a mental state.
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  • Undefinability of truth. the problem of priority:tarski vs gödel.Roman Murawski - 1998 - History and Philosophy of Logic 19 (3):153-160.
    The paper is devoted to the discussion of some philosophical and historical problems connected with the theorem on the undefinability of the notion of truth. In particular the problem of the priority of proving this theorem will be considered. It is claimed that Tarski obtained this theorem independently though he made clear his indebtedness to Gödel’s methods. On the other hand, Gödel was aware of the formal undefinability of truth in 1931, but he did not publish this result. Reasons for (...)
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  • Probabilistic support, probabilistic induction and bayesian confirmation theory.Andres Rivadulla - 1994 - British Journal for the Philosophy of Science 45 (2):477-483.
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  • The worlds of David Lewis.Tom Richards - 1975 - Australasian Journal of Philosophy 53 (2):105 – 118.
    Arguments are advanced that a theory of possible worlds cannot be a theory of meaning for modal statements, And lewis's version of the theory in his "counterfactuals" is used as a particular stalking-Horse. (a) 'possible world', Though used referentially, Is defined in a way that makes it non-Referential, And moreover, The theory does not supply or validate proposals for criteria that individuate worlds; hence the theory seems incomprehensible. (b) the theory yields no useable account of truth-Conditions for modal statements. (c) (...)
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  • Quotation, grammar, and opacity.Mark Richard - 1986 - Linguistics and Philosophy 9 (3):383 - 403.
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  • Quotation marks: demonstratives or demonstrations?M. Reimer - 1996 - Analysis 56 (3):131-141.
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  • Open quotation.François Recanati - 2001 - Mind 110 (439):637-687.
    The issues addressed in philosophical papers on quotation generally concern only a particular type of quotation, which I call ‘closed quotation’. The other main type, ‘open quotation’, is ignored, and this neglect leads to bad theorizing. Not only is a general theory of quotation out of reach: the specific phenomenon of closed quotation itself cannot be properly understood if it is not appropriately situated within the kind to which it belongs. Once the distinction between open and closed quotation has been (...)
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  • Necessary truth and proof.Stephen Read - 2010 - Kriterion: Journal of Philosophy 51 (121):47-67.
    What makes necessary truths true? I argue that all truth supervenes on how things are, and that necessary truths are no exception. What makes them true are proofs. But if so, the notion of proof needs to be generalized to include verification-transcendent proofs, proofs whose correctness exceeds our ability to verify it. It is incumbent on me, therefore, to show that arguments, such as Dummett's, that verification- truth is not compatible with the theory of meaning, are mistaken. The answer is (...)
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  • Tarski and the metalinguistic liar.Greg Ray - 2003 - Philosophical Studies 115 (1):55 - 80.
    I offer an interpretation of a familiar, but poorly understood portion of Tarskis work on truth – bringing to light a number of unnoticed aspects of Tarskis work. A serious misreading of this part of Tarski to be found in Scott Soames Understanding Truth is treated in detail. Soamesreading vies with the textual evidence, and would make Tarskis position inconsistent in an unsubtle way. I show that Soames does not finally have a coherent interpretation of Tarski. This is unfortunate, since (...)
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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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  • On the possibility of a privileged class of logical terms.Greg Ray - 1996 - Philosophical Studies 81 (2-3):303 - 313.
    Alfred Tarski's (1936) semantic account of the logical properties (logical consequence, logical truth and logical consistency) makes essential appeal to a distinction between logical and non-logical terms. John Etchemendy (1990) has recently argued that Tarski's account is inadequate for quite a number of different reasons. Among them is a brief argument which purports to show that Tarski's reliance on the distinction between logical and non-logical terms is in principle mistaken. According to Etchemendy, there are very simple (even first order) languages (...)
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  • Are truth values objects?Robert Ray - 1979 - Philosophical Studies 35 (2):199 - 211.
    Both Dummett and Tugendhat seem to conclude that Frege's thesis that truth values are objects which are signified by certain sentences is an assumption which was unjustified even for Frege. In this paper I wish to show that Frege's thesis was one of several assumptions which led Frege to a complex semantic theory for the first order predicate calculus which is surpassed only by Tarski's truth and satisfaction definitions. As such, this thesis receives its justification by being an essential part (...)
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  • Against the Quotational Theory of Meaning Ascriptions.Andrea Raimondi - 2020 - Studia Semiotyczne 34 (2):81-103.
    According to the quotational theory of meaning ascriptions, sentences like “‘Bruder means brother” are abbreviated synonymy claims, such as “‘Bruder means the same as ‘brother’”. After discussing a problem with Harman’s version of the quotational theory, I present an amended version defended by Field. Then, I address Field’s responses to two arguments against the theory that revolve around translation and the understanding of foreign expressions. Afterwards, I formulate two original arguments against both Harman’s and Field’s versions of the theory. One (...)
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  • On Why Mathematics Can Not be Ontology.Shiva Rahman - 2019 - Axiomathes 29 (3):289-296.
    The formalism of mathematics has always inspired ontological theorization based on it. As is evident from his magnum opus Being and Event, Alain Badiou remains one of the most important contemporary contributors to this enterprise. His famous maxim—“mathematics is ontology” has its basis in the ingenuity that he has shown in capitalizing on Gödel’s and Cohen’s work in the field of set theory. Their work jointly establish the independence of the continuum hypothesis from the standard axioms of Zermelo–Fraenkel set theory, (...)
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  • Pravda a paradox: úvod do problematiky.Jiří Raclavský - 2010 - Pro-Fil 10 (2):13-22.
    Tato stať je zamýšlena jako úvod do spojité problematiky explikace pravdivosti a sémantic-kých paradoxů, které onu explikaci pronásledují. Tyto paradoxy jsou viděny jako prostředek ukázání, že nedostatečně promyšlená explikace našeho pojmu pravdivosti (významu pravdi-vostního predikátu) je explikací nevyhovující. Poté jsou předvedeny rysy obou klasických přístupů, Russellovy teorie typů a Tarského hierarchie metajazyků. Nakonec jsou podány zá-kladní ideje hlavních názorových škol, které přišly poté.
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  • Toward a Theory of Concept Mastery: The Recognition View.Gabriel Oak Rabin - 2020 - Erkenntnis 85 (3):627-648.
    Agents can think using concepts they do not fully understand. This paper investigates the question “Under what conditions does a thinker fully understand, or have mastery of, a concept?” I lay out a gauntlet of problems and desiderata with which any theory of concept mastery must cope. I use these considerations to argue against three views of concept mastery, according to which mastery is a matter of holding certain beliefs, being disposed to make certain inferences, or having certain intuitions. None (...)
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  • Pure Quotation in Linguistic Context.Brian Rabern - 2023 - Journal of Philosophical Logic 52 (2):393-413.
    A common framing has it that any adequate treatment of quotation has to abandon one of the following three principles: (i) The quoted expression is a syntactic constituent of the quote phrase; (ii) If two expressions are derived by applying the same syntactic rule to a sequence of synonymous expressions, then they are synonymous; (iii) The language contains synonymous but distinct expressions. In the following, a formal syntax and semantics will be provided for a quotational language which adheres to all (...)
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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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  • 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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  • 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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  • Scare quotes and their relation to other semantic issues.Stefano Predelli - 2003 - Linguistics and Philosophy 26 (1):1-28.
    The main aim of this paper is that of providing a unified analysis for some interesting uses of quotation marks, including so-called scare quotes. The phenomena exemplified by the cases I discuss have remained relatively unexplored, notwithstanding a growing interest in the behavior of quotation marks. They are, however, of no lesser interest than other, more widely studied effectsachieved with the help of quotationmarks. In particular, as I argue in whatfollows, scare quotes and other similar instances bear interesting relations with (...)
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  • Semantic Naturalism and the Liar.Leon Porter - 1993 - Analysis 53 (4):281 - 284.
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  • Curves in Gödel-Space: Towards a Structuralist Ontology of Mathematical Signs.Martin Pleitz - 2010 - Studia Logica 96 (2):193-218.
    I propose an account of the metaphysics of the expressions of a mathematical language which brings together the structuralist construal of a mathematical object as a place in a structure, the semantic notion of indexicality and Kit Fine's ontological theory of qua objects. By contrasting this indexical qua objects account with several other accounts of the metaphysics of mathematical expressions, I show that it does justice both to the abstractness that mathematical expressions have because they are mathematical objects and to (...)
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  • The phenomenon objection to conceptual engineering.Mark Pinder - 2022 - Philosophical Studies 179 (11):3281-3305.
    Conceptual engineering is sometimes presented as an alternative to conceptual analysis. But one important objection to conceptual analysis threatens to carry across: that philosophy investigates phenomena—knowledge, truth, freedom, etc.—rather than concepts of those phenomena. This poses a prima facie problem insofar as conceptual engineering targets concepts or terms rather than phenomena. Call it the ‘phenomenon objection’. I begin by examining recent discussions of the phenomenon objection by Cappelen and Scharp, rejecting their responses. I then clarify and strengthen the objection, discussing (...)
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  • Scott Soames: The analytic tradition in philosophy, volume 1: Founding giants: Princeton University Press.Charles R. Pigden - 2015 - Philosophical Studies 172 (6):1671-1680.
    The Analytic Tradition in Philosophy is an excellent successor to an excellent book : It is a fine an example of the necromantic style in the history of philosophy where the object of the exercise is to resurrect the mighty dead in order to get into an argument with them, either because we think them importantly right or instructively wrong. However what was a pardonable a simplification and a reasonable omission in the earlier book has now metamorphosed into a sin (...)
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