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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. What are logical notions?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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  • Anti-exceptionalism and methodological pluralism in logic.Diego Tajer - 2022 - Synthese 200 (3):1-21.
    According to methodological anti-exceptionalism, logic follows a scientific methodology. There has been some discussion about which methodology logic has. Authors such as Priest, Hjortland and Williamson have argued that logic can be characterized by an abductive methodology. We choose the logical theory that behaves better under a set of epistemic criteria. In this paper, I analyze some important discussions in the philosophy of logic, and I show that they presuppose different methodologies, involving different notions of evidence and different epistemic values. (...)
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  • Wittgenstein as his own worst enemy: The case of gödel's theorem.Mark Steiner - 2001 - Philosophia Mathematica 9 (3):257-279.
    Remarks on the Foundations of Mathematics, Wittgenstein, despite his official 'mathematical nonrevisionism', slips into attempting to refute Gödel's theorem. Actually, Wittgenstein could have used Gödel's theorem to good effect, to support his view that proof, and even truth, are 'family resemblance' concepts. The reason that Wittgenstein did not see all this is that Gödel's theorem had become an icon of mathematical realism, and he was blinded by his own ideology. The essay is a reply to Juliet Floyd's work on Gödel: (...)
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  • Virtuous Circles.Michael P. Smith - 2010 - Southern Journal of Philosophy 25 (2):207-220.
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  • Parts and Moments. Studies in Logic and Formal Ontology.Barry Smith (ed.) - 1982 - Philosophia Verlag.
    A collection of material on Husserl's Logical Investigations, and specifically on Husserl's formal theory of parts, wholes and dependence and its influence in ontology, logic and psychology. Includes translations of classic works by Adolf Reinach and Eugenie Ginsberg, as well as original contributions by Wolfgang Künne, Kevin Mulligan, Gilbert Null, Barry Smith, Peter M. Simons, Roger A. Simons and Dallas Willard. Documents work on Husserl's ontology arising out of early meetings of the Seminar for Austro-German Philosophy.
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  • Mathematical form in the world.David Woodruff Smith - 2002 - Philosophia Mathematica 10 (2):102-129.
    This essay explores an ideal notion of form (mathematical structure) that embraces logical, phenomenological, and ontological form. Husserl envisioned a correlation among forms of expression, thought, meaning, and object—positing ideal forms on all these levels. The most puzzling formal entities Husserl discussed were those he called ‘manifolds’. These manifolds, I propose, are forms of complex states of affairs or partial possible worlds representable by forms of theories (compare structuralism). Accordingly, I sketch an intentionality-based semantics correlating these four Husserlian levels of (...)
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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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  • Quotational mixing of use and mention.Ori Simchen - 1999 - Philosophical Quarterly 49 (196):325-336.
    Quotation is employed in mentioning linguistic items with varying degrees of specificity depending upon context, occasionally in the service of multiple purposes. It is also often employed in cases where the mentioned items are simultaneously being used in their ordinary roles. I argue that against appearances to the contrary, the recently proposed formal disambiguation approach to quotation fails to account for this quotational mixing of use and mention. I further argue that, given the ubiquity of the mixing in question, the (...)
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  • Paradoxes of validity.Keith Simmons - 2021 - Philosophical Studies 179 (2):383-403.
    Consider the following argument written on the board in room 227: 1 = 1. So, the argument on the board in room 227 is not valid. This argument generates a paradox. The aim of this paper is to present a resolution of this paradox and related paradoxes of validity, including a version of the Curry paradox. The proposal stresses the close connections between these validity paradoxes and paradoxes of truth and paradoxes of denotation. So a more general aim is to (...)
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  • Paradoxes of denotation.Keith Simmons - 1994 - Philosophical Studies 76 (1):71 - 106.
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  • Deflationary truth and the liar.Keith Simmons - 1999 - Journal of Philosophical Logic 28 (5):455-488.
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  • Phenomenology Meets Logical Semantics: What Husserl's and Tarski's Theories of Truth Do Have in Common.Norman Sieroka - 2003 - Journal of the British Society for Phenomenology 34 (2):116-131.
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  • The metaphysics of truth: anti-deflationism and substantial pluralism.Gila Sher - 2023 - Inquiry: An Interdisciplinary Journal of Philosophy 66 (8):1494-1512.
    Two central themes of Douglas Edwards’s The Metaphysics of Truth are anti-deflationism and substantial pluralism. In Part I of this paper I discuss Edwards’s grounds for rejecting deflationism and suggest a few additional grounds. In Part II I discuss Edward's truth-pluralism and respond to his criticism of my correspondence-pluralism. While these pluralisms share significant features, their differences also raise several important questions.
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  • Truth, Logical Structure, and Compositionality.Gila Sher - 2001 - Synthese 126 (1-2):195-219.
    In this paper I examine a cluster of concepts relevant to the methodology of truth theories: 'informative definition', 'recursive method', 'semantic structure', 'logical form', 'compositionality', etc. The interrelations between these concepts, I will try to show, are more intricate and multi-dimensional than commonly assumed.
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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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  • Pluralism and Normativity in Truth and Logic.Gila Sher - 2020 - American Philosophical Quarterly 57 (4):337-350.
    In this paper I investigate how differences in approach to truth and logic (in particular, a deflationist vs. a substantivist approach to these fields) affect philosophers’ views concerning pluralism and normativity in these fields. My perspective on truth and logic is largely epistemic, focusing on the role of truth in knowledge (rather than on the use of the words “true” and “truth” in natural language), and my reference group includes Carnap (1934), Harman (1986), Horwich (1990), Wright (1992), Beall and Restall (...)
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  • On the possibility of a substantive theory of truth.Gila Sher - 1998 - Synthese 117 (1):133-172.
    The paper offers a new analysis of the difficulties involved in the construction of a general and substantive correspondence theory of truth and delineates a solution to these difficulties in the form of a new methodology. The central argument is inspired by Kant, and the proposed methodology is explained and justified both in general philosophical terms and by reference to a particular variant of Tarski's theory. The paper begins with general considerations on truth and correspondence and concludes with a brief (...)
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  • Invariance as a basis for necessity and laws.Gila Sher - 2021 - Philosophical Studies 178 (12):3945-3974.
    Many philosophers are baffled by necessity. Humeans, in particular, are deeply disturbed by the idea of necessary laws of nature. In this paper I offer a systematic yet down to earth explanation of necessity and laws in terms of invariance. The type of invariance I employ for this purpose generalizes an invariance used in meta-logic. The main idea is that properties and relations in general have certain degrees of invariance, and some properties/relations have a stronger degree of invariance than others. (...)
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  • Taking offence.J. Shand - 2010 - Analysis 70 (4):703-706.
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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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  • Expressibility and the Liar's Revenge.Lionel Shapiro - 2011 - Australasian Journal of Philosophy 89 (2):297-314.
    There is a standard objection against purported explanations of how a language L can express the notion of being a true sentence of L. According to this objection, such explanations avoid one paradox (the Liar) only to succumb to another of the same kind. Even if L can contain its own truth predicate, we can identify another notion it cannot express, on pain of contradiction via Liar-like reasoning. This paper seeks to undermine such ‘revenge’ by arguing that it presupposes a (...)
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  • XIII*—Contextualist Solutions to Scepticism.Stephen Schiffer - 1996 - Proceedings of the Aristotelian Society 96 (1):317-334.
    Stephen Schiffer; XIII*—Contextualist Solutions to Scepticism, Proceedings of the Aristotelian Society, Volume 96, Issue 1, 1 June 1996, Pages 317–334, https://.
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  • 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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  • Bolzano’s concept of grounding against the background of normal proofs.Antje Rumberg - 2013 - Review of Symbolic Logic 6 (3):424-459.
    In this paper, I provide a thorough discussion and reconstruction of Bernard Bolzano’s theory of grounding and a detailed investigation into the parallels between his concept of grounding and current notions of normal proofs. Grounding (Abfolge) is an objective ground-consequence relation among true propositions that is explanatory in nature. The grounding relation plays a crucial role in Bolzano’s proof-theory, and it is essential for his views on the ideal buildup of scientific theories. Occasionally, similarities have been pointed out between Bolzano’s (...)
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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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