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  1. Construire les mathématiques dans L’imagination.Frédéric Patras - 2015 - Revue de Synthèse 136 (1-2):75-92.
    L'extraordinaire progrès quantitatif de la science contemporaine masque souvent sa dimension qualitative. En mathématiques, la compréhension actuelle des phénomènes théoriques fondamentaux va bien au-delà de celle des périodes antérieures, fussent-elles récentes. Cette évolution s'accompagne par ailleurs d'une prise de distance à l'égard du structuralisme classique et du réductionnisme logique et, corrélativement, d'une attitude plus œverte, plus attentive à sa richesse et sa complexité, lorsqu'il s'agit de penser la nature du travail mathématique. Ces changements attendent pourtant toujours largement d'être théorisés philosophiquement. (...)
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  • The Shared Perception of Social Contexts and Its Conditions for Possibility.Alessio Lo Giudice - 2009 - Ratio Juris 22 (3):395-415.
    Pragmatist reinterpretations of both deliberative‐communicative theory and legal positivism point out the mentalist fallacy entailed by these prevalent models. I argue that pragmatist approaches imply analogous erroneous beliefs since they presuppose as given the shared perception of social contexts. Therefore they take for granted the shared interpretation of social problems and shared selection of common goals. Hence I advance the necessity of inquiring into the possibility conditions for a shared perception of social contexts. This would entail the organization of institutional (...)
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  • Mental Files.François Récanati - 2012 - Oxford, GB: Oxford University Press.
    Over the past fifty years the philosophy of language and mind has been dominated by a nondescriptivist approach to content and reference. This book attempts to recast and systematize that approach by offering an indexical model in terms of mental files. According to Recanati, we refer through mental files, the function of which is to store information derived through certain types of contextual relation the subject bears to objects in his or her environment. The reference of a file is determined (...)
  • Generic Structures.Leon Horsten - 2019 - Philosophia Mathematica 27 (3):362-380.
    In this article ideas from Kit Fine’s theory of arbitrary objects are applied to questions regarding mathematical structuralism. I discuss how sui generis mathematical structures can be viewed as generic systems of mathematical objects, where mathematical objects are conceived of as arbitrary objects in Fine’s sense.
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  • Empty Singular Terms in the Mental-File Framework.François Recanati - 2014 - In Manuel García-Carpintero & Genoveva Martí (eds.), Empty Representations: Reference and Non-Existence. New York, NY: Oxford University Press. pp. 162-185.
    Mental files, in Recanati's framework, function as 'singular terms in the language of thought' ; they serve to think about objects in the world (and to store information about them). But they have a derived, metarepresentational function : they serve to represent how other subjects think about objects in the world. To account for the metarepresentational use of files, Recanati introduces the notion of an 'indexed file', i.e. a vicarious file that stands, in the subject's mind, for another subject's file (...)
     
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  • Bridge Principles and Epistemic Norms.Claire Https://Orcidorg Field & Bruno Jacinto - 2022 - Erkenntnis:1-53.
    Is logic normative for belief? A standard approach to answering this question has been to investigate bridge principles relating claims of logical consequence to norms for belief. Although the question is naturally an epistemic one, bridge principles have typically been investigated in isolation from epistemic debates over the correct norms for belief. In this paper we tackle the question of whether logic is normative for belief by proposing a Kripkean model theory accounting for the interaction between logical, doxastic, epistemic and (...)
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  • The epistemology of “On Sense and Reference”.Junyeol Kim - 2023 - Asian Journal of Philosophy 2 (2):1-17.
    This paper sheds light on an epistemological dimension of Frege’s “On Sense and Reference.” Under my suggested reading of it, one of its aims is to suggest a picture about propositional knowledge and its production. According to this picture, judgment, which produces propositional knowledge, is identification of the truth-value True with the reference of a given sentence. The propositional knowledge that p, produced by the judgment that p, consists in the knowledge of the identity between the True and the reference (...)
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  • Leon Horsten*The Metaphysics and Mathematics of Arbitrary Objects. [REVIEW]Eric Snyder - 2020 - Philosophia Mathematica 28 (1):79-95.
  • Frege's Theory of Sense and Reference: Some Exegetical Notes.Saul A. Kripke - 2008 - Theoria 74 (3):181-218.
    Frege's theory of indirect contexts and the shift of sense and reference in these contexts has puzzled many. What can the hierarchy of indirect senses, doubly indirect senses, and so on, be? Donald Davidson gave a well-known 'unlearnability' argument against Frege's theory. The present paper argues that the key to Frege's theory lies in the fact that whenever a reference is specified (even though many senses determine a single reference), it is specified in a particular way, so that giving a (...)
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  • An Essay on Compositionality of Thoughts in Frege’s Philosophy.Krystian Bogucki - 2022 - Philosophical Papers 51 (1):1-43.
    In the paper, I propose a novel approach to Frege’s view on the principle of compositionality, its relation to the propositional holism and the formation of concepts. The main idea is to distinguish three stages of constructing a logically perfect language. At the first stage, only a sentence as a whole expresses a Thought. It is impossible to assign meaning to less complex units. This is the stage of an ordinary language. The second phase concerns the proper level of construction (...)
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  • The Intellectual Given.John Bengson - 2015 - Mind 124 (495):707-760.
    Intuition is sometimes derided as an abstruse or esoteric phenomenon akin to crystal-ball gazing. Such derision appears to be fuelled primarily by the suggestion, evidently endorsed by traditional rationalists such as Plato and Descartes, that intuition is a kind of direct, immediate apprehension akin to perception. This paper suggests that although the perceptual analogy has often been dismissed as encouraging a theoretically useless metaphor, a quasi-perceptualist view of intuition may enable rationalists to begin to meet the challenge of supplying a (...)
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  • Assessment Sensitivity: Relative Truth and its Applications.John MacFarlane - 2014 - Oxford: 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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  • Is reasoning responding to reasons?Franziska Poprawe - 2020 - Philosophical Explorations 23 (2):146-159.
    Volume 23, Issue 2, June 2020, Page 146-159.
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  • The Analytic/Synthetic Distinction.Georges Rey - 2012 - In Peter Adamson (ed.), Stanford Encyclopedia of Philosophy. Stanford Encyclopedia of Philosophy.
  • The Picture Theory.Colin Johnston - 2017 - In Hans-Johann Glock & John Hyman (eds.), A Companion to Wittgenstein. Chichester, West Sussex, UK: Wiley-Blackwell. pp. 141–158.
    This chapter focuses on picture theory, which is sometimes spoken of as a theory of the proposition. By a proposition, Wittgenstein like Frege means something that determines its sense by means of a correlation between the mode of combination of its constituent symbols and the structure of its sense. It has been an orthodoxy amongst Tractatus interpreters, and continues to be such in the wider philosophical community, that Wittgenstein follows the Russell in offering a correspondence theory of truth. The expression (...)
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  • Mathematics and Experience.Carlo Cellucci - forthcoming - Foundations of Science:1-15.
    The question of whether mathematics depends on experience, including experience of the external world, is problematic because, while it is clear that natural sciences depend on experience, it is not clear that mathematics depends on experience. Indeed, several mathematicians and philosophers think that mathematics does not depend on experience, and this is also the view of mainstream philosophy of mathematics. However, this view has had a deleterious effect on the philosophy of mathematics. This article argues that, in fact, the view (...)
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  • Kant on Propositional Content and Knowledge.Lewis Wang - 2023 - Kant Yearbook 15 (1):175-196.
    This paper explores Kant’s account of propositional content and its implications for the relationship between his notions of knowledge (Wissen) and cognition (Erkenntnis). While previous commentators commonly read Kant as holding a Fregean theory of propositional content, in this paper I argue that Kant’s theory of propositional content aligns more closely with Peter Hanks’ recent account. According to my reading, Kant holds that individual acts of judging are both ontologically and explanatorily prior to propositions or Kantian judgments (Urteil). Furthermore, on (...)
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  • The Tractatus On Unity.José L. Zalabardo - 2018 - Australasian Philosophical Review 2 (3):250-271.
    ABSTRACT I argue that some of the central doctrines of Wittgenstein's Tractatus Logico-Philosophicus can be seen as addressing the twin problems of semantic unity and...
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  • ‘True’ as Polysemous.Andy Yu - 2021 - Pacific Philosophical Quarterly 102 (4):542-569.
    In this paper, I propose that 'true’ is polysemous, and thus ambiguous. I suggest that the semantic paradoxes both motivates taking 'true’ to be polysemous and shows that the concept truth is indefinitely extensible. In doing so, I explain that 'true’ is polysemous between the meanings corresponding to the subconcepts of the concept truth generated by such indefinite extensibility. I conclude that the proposal provides satisfying solutions to the semantic paradoxes.
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  • Is composition identity?Byeong-uk Yi - 2018 - Synthese 198 (Suppl 18):4467-4501.
    Say that some things compose something, if the latter is a whole, fusion, or mereological sum of the former. Then the thesis that composition is identity holds that the composition relation is a kind of identity relation, a plural cousin of singular identity. On this thesis, any things that compose a whole are identical with the whole. This article argues that the thesis is incoherent. To do so, the article formulates the thesis in a plural language, a symbolic language that (...)
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  • What did Frege take Russell to have proved?John Woods - 2019 - Synthese 198 (4):3949-3977.
    In 1902 there arrived in Jena a letter from Russell laying out a proof that shattered Frege’s confidence in logicism, which is widely taken to be the doctrine according to which every truth of arithmetic is re-expressible without relevant loss as a provable truth about a purely logical object. Frege was persuaded that Russell had exposed a pathology in logicism, which faced him with the task of examining its symptoms, diagnosing its cause, assessing its seriousness, arriving at a treatment option, (...)
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  • To and from philosophy — discussions with gödel and Wittgenstein.Hao Wang - 1991 - Synthese 88 (2):229 - 277.
    I propose to sketch my views on several aspects of the philosophy of mathematics that I take to be especially relevant to philosophy as a whole. The relevance of my discussion would, I think, become more evident, if the reader keeps in mind the function of (the philosophy of) mathematics in philosophy in providing us with more transparent aspects of general issues. I shall consider: (1) three familiar examples; (2) logic and our conceptual frame; (3) communal agreement and objective certainty; (...)
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  • Propositional Attitudes in Modern Philosophy.O. T. T. Walter - 2002 - Dialogue 41 (3):551-568.
    RÉSUMÉ: Les philosophes de la période moderne sont souvent présentés comme ayant commis une erreur élémentaire: celle de confondre la force propositionnelle avec le contenu propositionnel. Par l'examen de deux cas saillants, à savoir les philosophes de Port-Royal et John Locke, je montre que l'accusation n'est pas fondée, et que Locke en particulier a les ressources requises pour construire une théorie des attitudes propositionnelles.
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  • Charles Travis on Truth and Perception.Martijn Wallage - 2020 - Canadian Journal of Philosophy 50 (7):878-889.
    Charles Travis has developed a distinction between “the historical” and “the conceptual”, which underlies his influential contributions to the philosophy of language and perception. The distinction is based on the observation that there are, for any thought, indefinitely many different circumstances that would render it true. The generality of thoughts and concepts contrasts with the particularity of the sensible world. I challenge the assumption that what exhibits such generality cannot belong to the sensible world. I also defend a version of (...)
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  • Pragmatism. Propositional Priority and the Organic Model of Propositional Individuation.Neftalí Villanueva & María J. Frápolli - 2016 - Disputatio 8 (43):203-217.
    We identify two senses of ‘pragmatics’ and related terms that give rise to two different methods of propositional individuation. The first one is the contextualist approach that essentially acknowledges contextual information to take part in the determination of what is said by the utterance of a sentence. In this sense, Pragmatics relies on the Principle of Compositionality and interprets propositions as structured entities. It epitomises the Building-block Model of Propositional Individuation. The general approach that makes what the agents do the (...)
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  • In Defence of the Shareability of Fregean Self-Thought.Víctor M. Verdejo - 2019 - Acta Analytica 34 (3):281-299.
    Consider the Unshareability View, namely, the view that first person thought or self-thought—thought as typically expressed via the first person pronoun—is not shareable from subject to subject. In this article, I show that a significant number of Fregean and non-Fregean commentators of Frege have taken the Unshareability View to be the default Fregean position, rehearse Frege’s chief claims about self-thought and suggest that their combination entails the Unshareability View only on the assumption that there is a one-to-one correspondence between way (...)
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  • Generic inferential rules for slurs and contrasting senses.Pasi Valtonen - 2022 - Theoria 88 (5):1037-1052.
    This article offers a new perspective on the relationship between slurring terms and their neutral counterparts with an inferentialist view of slurs. I argue that slurs and their counterparts are coextensional with contrasting senses. Crucially, the proposed inferentialist view overcomes the combination of two challenges: Kaplanian inferences and the substitution argument. The previous views cannot account for both of them.
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  • Names: Sense, epistemic content, and denotation.Gabriele Usberti - 2002 - Topoi 21 (1-2):99-112.
  • Ways of being reasonable: Perelman and the philosophers.Christopher W. Tindale - 2010 - Philosophy and Rhetoric 43 (4):337-361.
    In 1958, Chaïm Perelman and Lucie Olbrechts-Tyteca published Traité de l'argumentation: La nouvelle rhétorique, the culmination of many years study. A seminal work in philosophy and rhetoric, it aimed to bring classical Aristotelian rhetoric into the modern era and present a model of argumentation that promoted action and reasonableness. One distinctive feature of the dense account found in this work is the claim that the success of argumentation can in part be measured by the responses of the audience for which (...)
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  • Constructions.Pavel Tichy - 1986 - Philosophy of Science 53 (4):514-534.
    The paper deals with the semantics of mathematical notation. In arithmetic, for example, the syntactic shape of a formula represents a particular way of specifying, arriving at, or constructing an arithmetical object (that is, a number, a function, or a truth value). A general definition of this sense of "construction" is proposed and compared with related notions, in particular with Frege's concept of "function" and Carnap's concept of "intensional isomorphism." It is argued that constructions constitute the proper subject matter of (...)
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  • ‘The Nature of the Question Demands a Separation’: Frege on Distinguishing between Content and Force.Mark Textor - 2021 - Australasian Journal of Philosophy 99 (2):226-240.
    ABSTRACT Recently, the content/force distinction has had a bad press. It has been argued that the distinction is not properly motivated and that it makes the problem of the unity of the proposition intractable. I will argue that Frege’s version of the content/force distinction is immune from these objections. In order to do so, I will reconstruct his argument that ‘the nature of a question’ requires a distinction between force and content. I will answer the concern about the unity of (...)
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  • Frege's ‘On the Concept of Number’ – an unnoticed publication.David Sullivan - 2016 - British Journal for the History of Philosophy 24 (4):764-768.
    ABSTRACTA short piece by Frege, heretofore overlooked, containing a précis of his views on the concept of number, is presented, after some very brief questions about Frege's possible involvement in the wider intellectual milieu.
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  • What is a Line?D. F. M. Strauss - 2014 - Axiomathes 24 (2):181-205.
    Since the discovery of incommensurability in ancient Greece, arithmeticism and geometricism constantly switched roles. After ninetieth century arithmeticism Frege eventually returned to the view that mathematics is really entirely geometry. Yet Poincaré, Brouwer, Weyl and Bernays are mathematicians opposed to the explication of the continuum purely in terms of the discrete. At the beginning of the twenty-first century ‘continuum theorists’ in France (Longo, Thom and others) believe that the continuum precedes the discrete. In addition the last 50 years witnessed the (...)
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  • The significance of a non-reductionist ontology for the discipline of mathematics: A historical and systematic analysis. [REVIEW]D. F. M. Strauss - 2010 - Axiomathes 20 (1):19-52.
    A Christian approach to scholarship, directed by the central biblical motive of creation, fall and redemption and guided by the theoretical idea that God subjected all of creation to His Law-Word, delimiting and determining the cohering diversity we experience within reality, in principle safe-guards those in the grip of this ultimate commitment and theoretical orientation from absolutizing or deifying anything within creation. In this article my over-all approach is focused on the one-sided legacy of mathematics, starting with Pythagorean arithmeticism (“everything (...)
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  • Wittgenstein on logical truth and bipolarity.Oliver Thomas Spinney - 2023 - Philosophical Investigations 46 (2):180-195.
    I provide a motivation for Wittgenstein's holding to the view that a necessary condition of an item's possessing a sense is its being capable of truth and capable of falsehood. I argue that Wittgenstein adopted the relevant view in order to defend an approach to the determination of logical truth on which the subject matter of a proposition is irrelevant to our making such a determination. This approach was itself conceived of as a remedy to that employed by Russell, and (...)
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  • Individuating Fregean sense.Jeff Speaks - 2013 - Canadian Journal of Philosophy 43 (5):634-654.
    While it is highly controversial whether Frege's criterion of sameness and difference for sense is true, it is relatively uncontroversial that that principle is inconsistent with Millian–Russellian views of content. I argue that this should not be uncontroversial. The reason is that it is surprisingly difficult to come up with an interpretation of Frege's criterion which implies anything substantial about the sameness or difference of content of anything.
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  • Playing One’s Part.Thomas H. Smith - 2011 - Review of Philosophy and Psychology 2 (2):213-44.
    The consensus in the philosophical literature on joint action is that, sometimes at least, when agents intentionally jointly φ, this is explicable by their intending that they φ, for a period of time prior to their φ-ing. If this be granted, it poses a dilemma. For agents who so intend either severally or jointly intend that they φ. The first option is ruled out by two stipulations that we may consistently make: (i) that at least one of the agents non-akratically (...)
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  • Frege's Judgement Stroke and the Conception of Logic as the Study of Inference not Consequence.Nicholas J. J. Smith - 2009 - Philosophy Compass 4 (4):639-665.
    One of the most striking differences between Frege's Begriffsschrift (logical system) and standard contemporary systems of logic is the inclusion in the former of the judgement stroke: a symbol which marks those propositions which are being asserted , that is, which are being used to express judgements . There has been considerable controversy regarding both the exact purpose of the judgement stroke, and whether a system of logic should include such a symbol. This paper explains the intended role of the (...)
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  • Three questions for minimalism.Keith Simmons - 2018 - Synthese 195 (3):1011-1034.
    In this paper, I raise some interconnected concerns for Paul Horwich’s minimal theory of truth, framed by these three questions: How should the minimal theory be formulated? How does the minimal theory address the liar paradox? What is the explanatory role of the concept of truth? I conclude that we cannot be linguistic or conceptual deflationists about truth.
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  • The ontology of meanings. [REVIEW]Mark Siebel - 2008 - Philosophical Studies 137 (3):417 - 426.
    In part 4 of Meaning, Expression, and Thought, Davis rejects what he calls Fregean ideational theories, according to which the meaning of an expression is an idea; and then presents his own account, which states that, e.g., the meaning of ‘Primzahl’ in German is the property of meaning prime number. Before casting doubt on the latter ontology of meanings, I come to Frege’s defence by pointing out that he was not an advocate of the position Davis named after him because (...)
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  • Frege on definitions.Sanford Shieh - 2008 - Philosophy Compass 3 (5):992-1012.
    This article treats three aspects of Frege's discussions of definitions. First, I survey Frege's main criticisms of definitions in mathematics. Second, I consider Frege's apparent change of mind on the legitimacy of contextual definitions and its significance for recent neo-Fregean logicism. In the remainder of the article I discuss a critical question about the definitions on which Frege's proofs of the laws of arithmetic depend: do the logical structures of the definientia reflect the understanding of arithmetical terms prevailing prior to (...)
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  • Theological Underpinnings of the Modern Philosophy of Mathematics.Vladislav Shaposhnikov - 2016 - Studies in Logic, Grammar and Rhetoric 44 (1):147-168.
    The study is focused on the relation between theology and mathematics in the situation of increasing secularization. My main concern in the second part of this paper is the early-twentieth-century foundational crisis of mathematics. The hypothesis that pure mathematics partially fulfilled the functions of theology at that time is tested on the views of the leading figures of the three main foundationalist programs: Russell, Hilbert and Brouwer.
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  • Pejoratives and Ways of Thinking.Adam Sennet & David Copp - 2017 - Analytic Philosophy 58 (3):248-271.
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  • On Translating Frege's Die Grundlagen der Arithmetik.Matthias Schirn - 2010 - History and Philosophy of Logic 31 (1):47-72.
    In this essay, I critically discuss Dale Jacquette's new English translation of Frege's work Die Grundlagen der Arithmetik as well as his Introduction and Critical Commentary (Frege, G. 2007. The Foundations of Arithmetic. A Logical-Mathematical Investigation into the Concept of Number . Translated with an Introduction and Critical Commentary by Dale Jacquette. New York: Longman. xxxii + 112 pp.). I begin with a short assessment of Frege's book. In sections 2 and 3, I examine several claims that Jacquette makes in (...)
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  • Necessitation and the Changing Past.Arthur Schipper - 2022 - Theoria 88 (5):997-1013.
    A central tenet of truthmaker theory is that necessitation is necessary for truthmaking (NEC). This paper defends NEC in a novel, piecemeal way, namely by responding to a potential counterexample involving a changing past. If Carter won a race at t1 but is later disqualified at t2, then Carter no longer won at t1. A wholly past event seems to have changed in the future. The event makes ‘Carter won the race at t1’ (RACE) true between t1‐2 but fails to (...)
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  • Axioms and Postulates as Speech Acts.João Vitor Schmidt & Giorgio Venturi - forthcoming - Erkenntnis:1-20.
    We analyze axioms and postulates as speech acts. After a brief historical appraisal of the concept of axiom in Euclid, Frege, and Hilbert, we evaluate contemporary axiomatics from a linguistic perspective. Our reading is inspired by Hilbert and is meant to account for the assertive, directive, and declarative components of modern axiomatics. We will do this by describing the constitutive and regulative roles that axioms possess with respect to the linguistic practice of mathematics.
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  • Understanding Frege’s notion of presupposition.Thorsten Sander - 2021 - Synthese 199 (5-6):12603-12624.
    Why did Frege offer only proper names as examples of presupposition triggers? Some scholars claim that Frege simply did not care about the full range of presuppositional phenomena. This paper argues, in contrast, that he had good reasons for employing an extremely narrow notion of ‘Voraussetzung’. On Frege’s view, many devices that are now construed as presupposition triggers either express several thoughts at once or merely ‘illuminate’ a thought in a particular way. Fregean presuppositions, in contrast, are essentially tied to (...)
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  • Towards a Fregean psycholinguistics.Thorsten Sander - forthcoming - Analytic Philosophy.
    This paper is partly exegetical, partly systematic. I argue that Frege's account of what he called “colouring” contains some important insights on how communication is related to mental states such as mental images or emotions. I also show that the Fregean perspective is supported by current research in psycholinguistics and that a full understanding of some linguistic phenomena that scholars have accounted for in terms of either semantics or pragmatics need involve psycholinguistic elements.
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  • La “carencia de límites de lo conceptual” y los pensamientos singulares en McDowell.Juan Manuel Saharrea - 2021 - Revista Filosofía Uis 20 (2):141-164.
    En este trabajo se analiza la propuesta en torno de los pensamientos singulares o “pensamientos de re” del filósofo contemporáneo John McDowell. Nuestra estrategia es abordar dicha reconstrucción a partir de la tesis de “la carencia de límites de lo conceptual” desarrollada en su producción más reciente. El contraste entre algunos aspectos de Mind and World (1994) y los artículos previos consagrados al pensamiento singular, asignan un valor explicativo concreto a la tesis de que lo conceptual no tiene límites.
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  • Truth, Marks of Truth, and Conditionals.Ian Rumfitt - 2022 - Philosophy 97 (3):295-320.
    This essay assesses the account of truth presented in Wiggins's 2002 paper ‘An indefinibilist cum normative view of truth and the marks of truth'. I agree with Wiggins that we should seek, not to define truth, but to elucidate it by unfolding its connections with other basic notions. However, I give reasons for preferring an elucidation based on Ramsey's account of truth to Wiggins's Tarski-inspired approach. I also cast doubt on Wiggins's thesis that convergence is a mark of truth, arguing (...)
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