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Logical Syntax of Language

London,: Routledge. Edited by Amethe Smeaton (1937)

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  1. (1 other version)Inferential Quantification and the ω-rule.Constantin C. Brîncuş - 2024 - In Antonio Piccolomini D'Aragona (ed.), Perspectives on Deduction: Contemporary Studies in the Philosophy, History and Formal Theories of Deduction. Springer Verlag. pp. 345--372.
    Logical inferentialism maintains that the formal rules of inference fix the meanings of the logical terms. The categoricity problem points out to the fact that the standard formalizations of classical logic do not uniquely determine the intended meanings of its logical terms, i.e., these formalizations are not categorical. This means that there are different interpretations of the logical terms that are consistent with the relation of logical derivability in a logical calculus. In the case of the quantificational logic, the categoricity (...)
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  • Syntactical Informational Structural Realism.Majid Davoody Beni - 2018 - Minds and Machines 28 (4):623-643.
    Luciano Floridi’s informational structural realism takes a constructionist attitude towards the problems of epistemology and metaphysics, but the question of the nature of the semantical component of his view remains vexing. In this paper, I propose to dispense with the semantical component of ISR completely. I outline a Syntactical version of ISR. The unified entropy-based framework of information has been adopted as the groundwork of SISR. To establish its realist component, SISR should be able to dissolve the latching problem. We (...)
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  • Black, White and Gray: Quine on Convention.Yemima Ben-Menahem - 2005 - Synthese 146 (3):245-282.
    This paper examines Quine’s web of belief metaphor and its role in his various responses to conventionalism. Distinguishing between two versions of conventionalism, one based on the under-determination of theory, the other associated with a linguistic account of necessary truth, I show how Quine plays the two versions of conventionalism against each other. Some of Quine’s reservations about conventionalism are traced back to his 1934 lectures on Carnap. Although these lectures appear to endorse Carnap’s conventionalism, in exposing Carnap’s failure to (...)
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  • Formalization, Syntax and the Standard Model of Arithmetic.Luca Bellotti - 2007 - Synthese 154 (2):199-229.
    I make an attempt at the description of the delicate role of the standard model of arithmetic for the syntax of formal systems. I try to assess whether the possible instability in the notion of finiteness deriving from the nonstandard interpretability of arithmetic affects the very notions of syntactic metatheory and of formal system. I maintain that the crucial point of the whole question lies in the evaluation of the phenomenon of formalization. The ideas of Skolem, Zermelo, Beth and Carnap (...)
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  • A pragmatic approach to the ontology of models.Antonis Antoniou - 2021 - Synthese (3-4):1-20.
    What are scientific models? Philosophers of science have been trying to answer this question during the last three decades by putting forward a number of different proposals. Some say that models are best understood as abstract Platonic objects or fictional entities akin to Sherlock Holmes, while others focus on their mathematical nature and see them as set theoretical structures. Although each account has its own strengths in offering various insights on the nature of models, several objections have been raised against (...)
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  • Uniqueness and Logical Disagreement (Revisited).Frederik J. Andersen - 2023 - Logos and Episteme 14 (3):243-259.
    This paper discusses the Uniqueness Thesis, a core thesis in the epistemology of disagreement. After presenting uniqueness and clarifying relevant terms, a novel counterexample to the thesis will be introduced. This counterexample involves logical disagreement. Several objections to the counterexample are then considered, and it is argued that the best responses to the counterexample all undermine the initial motivation for uniqueness.
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  • Countering Justification Holism in the Epistemology of Logic: The Argument from Pre-Theoretic Universality.Frederik J. Andersen - 2023 - Australasian Journal of Logic 20 (3):375-396.
    A key question in the philosophy of logic is how we have epistemic justification for claims about logical entailment (assuming we have such justification at all). Justification holism asserts that claims of logical entailment can only be justified in the context of an entire logical theory, e.g., classical, intuitionistic, paraconsistent, paracomplete etc. According to holism, claims of logical entailment cannot be atomistically justified as isolated statements, independently of theory choice. At present there is a developing interest in—and endorsement of—justification holism (...)
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  • Logical Disagreement.Frederik J. Andersen - 2024 - Dissertation, University of St. Andrews
    While the epistemic significance of disagreement has been a popular topic in epistemology for at least a decade, little attention has been paid to logical disagreement. This monograph is meant as a remedy. The text starts with an extensive literature review of the epistemology of (peer) disagreement and sets the stage for an epistemological study of logical disagreement. The guiding thread for the rest of the work is then three distinct readings of the ambiguous term ‘logical disagreement’. Chapters 1 and (...)
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  • Logical Conventionalism.Jared Warren - unknown - In Filippo Ferrari, Elke Brendel, Massimiliano Carrara, Ole Hjortland, Gil Sagi, Gila Sher & Florian Steinberger (eds.), Oxford Handbook of Philosophy of Logic. Oxford, UK: Oxford University Press.
    Once upon a time, logical conventionalism was the most popular philosophical theory of logic. It was heavily favored by empiricists, logical positivists, and naturalists. According to logical conventionalism, linguistic conventions explain logical truth, validity, and modality. And conventions themselves are merely syntactic rules of language use, including inference rules. Logical conventionalism promised to eliminate mystery from the philosophy of logic by showing that both the metaphysics and epistemology of logic fit into a scientific picture of reality. For naturalists of all (...)
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  • Analytic Philosophy in Latin America (2nd edition).Diana I. Pérez & Santiago Echeverri - 2023 - Stanford Encyclopedia of Philosophy.
    Analytic philosophy was introduced in Latin America in the mid-twentieth century. Its development has been heterogeneous in different countries of the region but has today reached a considerable degree of maturity and originality, with a strong community working within the analytic tradition in Latin America. This entry describes the historical development of analytic philosophy in Latin America and offers some examples of original contributions by Latin American analytic philosophers.
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  • Analytic Philosophy in the Philippines.Jeremiah Joven Joaquin - 2022 - Asian Journal of Philosophy 1 (2):1-32.
    In this paper, I provide a brief overview of the development of analytic philosophy in the Philippines. I first highlight the circumstances that led to its inception in the late 1930s, and some of the notable works by prominent Filipino analytic philosophers that helped shape the tradition. Next, I discuss the socio-political climate in the late 1950s through the 1970s that may have led some Filipino philosophers to move away from analytic philosophy. Finally, I explore some signs of its re-emergence (...)
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  • The A Priori Without Magic.Jared Warren - 2022 - New York, NY, USA: Cambridge University Press.
    The distinction between the a priori and the a posteriori is an old and influential one. But both the distinction itself and the crucial notion of a priori knowledge face powerful philosophical challenges. Many philosophers worry that accepting the a priori is tantamount to accepting epistemic magic. In contrast, this Element argues that the a priori can be formulated clearly, made respectable, and used to do important epistemological work. The author's conception of the a priori and its role falls short (...)
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  • Helen Longino'nun Bilimsel Nesnellik Anlayışı.Alper Bilgehan Yardımcı - 2021 - SRA Academic Publishing.
    Bilimsel faaliyetin ve bilimsel bilginin en temel özelliklerinden bir tanesi olarak karşımıza çıkan bilimsel nesnellik bilim felsefesi alanı içerisinde sıklıkla tartışılan bir konu olagelmiştir. Bu doğrultuda, bilimsel nesnelliğin temin edilmesine yönelik çeşitli görüşler ileri sürülmektedir. Genel olarak bilimsel nesnellik bilim insanlarının çalışmalarında olguları doğrudan yansıtması ya da bilim insanlarının çalışmalarını tarafsız bir bakış açısıyla tamamlaması olarak anlaşılmaktadır. Bu görüşlerin bilim felsefesi içerisindeki yansımaları sırasıyla olgulara bağlılık olarak nesnellik ve hiçbir yerden bakış olarak nesnellik isimleriyle olmuştur. Bu bakış açısı, kişisel çıkarların (...)
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  • The Eclipse of Value-Free Economics. The concept of multiple self versus homo economicus.Aleksander Ostapiuk - 2020 - Wrocław, Polska: Publishing House of Wroclaw University of Economics and Business.
    The books’ goal is to answer the question: Do the weaknesses of value-free economics imply the need for a paradigm shift? The author synthesizes criticisms from different perspectives (descriptive and methodological). Special attention is paid to choices over time, because in this area value-free economics has the most problems. In that context, the enriched concept of multiple self is proposed and investigated. However, it is not enough to present the criticisms towards value-free economics. For scientists, a bad paradigm is better (...)
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  • Categoricity by convention.Julien Murzi & Brett Topey - 2021 - Philosophical Studies 178 (10):3391-3420.
    On a widespread naturalist view, the meanings of mathematical terms are determined, and can only be determined, by the way we use mathematical language—in particular, by the basic mathematical principles we’re disposed to accept. But it’s mysterious how this can be so, since, as is well known, minimally strong first-order theories are non-categorical and so are compatible with countless non-isomorphic interpretations. As for second-order theories: though they typically enjoy categoricity results—for instance, Dedekind’s categoricity theorem for second-order and Zermelo’s quasi-categoricity theorem (...)
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  • Modal and Hyperintensional Cognitivism and Modal and Hyperintensional Expressivism.David Elohim - manuscript
    This paper aims to provide a mathematically tractable background against which to model both modal and hyperintensional cognitivism and modal and hyperintensional expressivism. I argue that epistemic modal algebras, endowed with a hyperintensional, topic-sensitive epistemic two-dimensional truthmaker semantics, comprise a materially adequate fragment of the language of thought. I demonstrate, then, how modal expressivism can be regimented by modal coalgebraic automata, to which the above epistemic modal algebras are categorically dual. I examine five methods for modeling the dynamics of conceptual (...)
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  • Shadows of Syntax: Revitalizing Logical and Mathematical Conventionalism.Jared Warren - 2020 - New York, USA: Oxford University Press.
    What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...)
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  • Ineffability: The very concept.Sebastian Gäb - 2020 - Philosophia 48 (5):1-12.
    In this paper, I analyze the concept of ineffability: what does it mean to say that something cannot be said? I begin by distinguishing ineffability from paradox: if something cannot be said truly or without contradiction, this is not an instance of ineffability. Next, I distinguish two different meanings of ‘saying something’ which result from a fundamental ambiguity in the term ‘language’, viz. language as a system of symbols and language as a medium of communication. Accordingly, ‘ineffability’ is ambiguous, too, (...)
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  • Language, Truth, and Logic and the Anglophone reception of the Vienna Circle.Andreas Vrahimis - 2021 - In Adam Tamas Tuboly (ed.), The Historical and Philosophical Significance of Ayer’s Language, Truth and Logic. Cham, Switzerland: Palgrave. pp. 41-68.
    A. J. Ayer’s Language, Truth, and Logic had been responsible for introducing the Vienna Circle’s ideas, developed within a Germanophone framework, to an Anglophone readership. Inevitably, this migration from one context to another resulted in the alteration of some of the concepts being transmitted. Such alterations have served to facilitate a number of false impressions of Logical Empiricism from which recent scholarship still tries to recover. In this paper, I will attempt to point to the ways in which LTL has (...)
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  • Stop Talking about Fake News!Joshua Habgood-Coote - 2019 - Inquiry: An Interdisciplinary Journal of Philosophy 62 (9-10):1033-1065.
    Since 2016, there has been an explosion of academic work and journalism that fixes its subject matter using the terms ‘fake news’ and ‘post-truth’. In this paper, I argue that this terminology is not up to scratch, and that academics and journalists ought to completely stop using the terms ‘fake news’ and ‘post-truth’. I set out three arguments for abandonment. First, that ‘fake news’ and ‘post-truth’ do not have stable public meanings, entailing that they are either nonsense, context-sensitive, or contested. (...)
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  • Linguistic convention and worldly fact: Prospects for a naturalist theory of the a priori.Brett Topey - 2019 - Philosophical Studies 176 (7):1725-1752.
    Truth by convention, once thought to be the foundation of a uniquely promising approach to explaining our access to the truth in nonempirical domains, is nowadays widely considered an absurdity. Its fall from grace has been due largely to the influence of an argument that can be sketched as follows: our linguistic conventions have the power to make it the case that a sentence expresses a particular proposition, but they can’t by themselves generate truth; whether a given proposition is true—and (...)
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  • (1 other version)Reviving the parameter revolution in semantics.Bryan Pickel, Brian Rabern & Josh Dever - 2018 - In Derek Ball & Brian Rabern (eds.), The Science of Meaning: Essays on the Metatheory of Natural Language Semantics. Oxford: Oxford University Press. pp. 138-171.
    Montague and Kaplan began a revolution in semantics, which promised to explain how a univocal expression could make distinct truth-conditional contributions in its various occurrences. The idea was to treat context as a parameter at which a sentence is semantically evaluated. But the revolution has stalled. One salient problem comes from recurring demonstratives: "He is tall and he is not tall". For the sentence to be true at a context, each occurrence of the demonstrative must make a different truth-conditional contribution. (...)
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  • Quinean holism, analyticity, and diachronic rational norms.Brett Topey - 2018 - Synthese 195 (7):3143-3171.
    I argue that Quinean naturalists’ holism-based arguments against analyticity and apriority are more difficult to resist than is generally supposed, for two reasons. First, although opponents of naturalism sometimes dismiss these arguments on the grounds that the holistic premises on which they depend are unacceptably radical, it turns out that the sort of holism required by these arguments is actually quite minimal. And second, although it’s true, as Grice and Strawson pointed out long ago, that these arguments can succeed only (...)
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  • (1 other version)Forms of Luminosity: Epistemic Modality and Hyperintensionality in Mathematics.David Elohim - 2017 - Dissertation, Arché, University of St Andrews
    This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. David Elohim examines the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable (...)
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  • (1 other version)Anti-exceptionalism about logic.Ole Thomassen Hjortland - 2017 - Philosophical Studies 174 (3):631-658.
    Logic isn’t special. Its theories are continuous with science; its method continuous with scientific method. Logic isn’t a priori, nor are its truths analytic truths. Logical theories are revisable, and if they are revised, they are revised on the same grounds as scientific theories. These are the tenets of anti-exceptionalism about logic. The position is most famously defended by Quine, but has more recent advocates in Maddy, Priest, Russell, and Williamson. Although these authors agree on many methodological issues about logic, (...)
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  • A Short History of the Philosophy of Consciousness in the Twentieth Century.Tim Crane - 2017 - In Amy Kind (ed.), Philosophy of Mind in the Twentieth and Twenty-First Centuries: The History of the Philosophy of Mind, Volume 6. New York: Routledge.
    In this paper, it is argued that the late twentieth century conception of consciousness in analytic philosophy emerged from the idea of consciousness as givenness, via the behaviourist idea of “raw feels”. In the post-behaviourist period in philosophy, this resulted in the division of states of mind into essentially unconscious propositional attitudes plus the phenomenal residue of qualia: intrinsic, ineffable and inefficacious sensory states. It is striking how little in the important questions about consciousness depends on this conception, or on (...)
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  • Explaining simulated phenomena. A defense of the epistemic power of computer simulations.Juan M. Durán - 2013 - Dissertation, University of Stuttgart
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  • Gödel turned out to be an unadulterated Platonist, and apparently believed that an eternal “not” was laid up in heaven, where virtuous logicians might hope to meet it hereafter. On this Gödel commented: Concerning my “unadulterated” Platonism, it is no more unadulter.Solomon Feferman, John Dawson, Warren Goldfarb & Robert Solovay - 1995 - Bulletin of Symbolic Logic 1 (1).
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  • Logical Root of Linguistic Commitment.Berislav Žarnić - 2013 - In Anna Brożek, Jacek Jadacki & Berislav Žarnić (eds.), Theory of Imperatives from Different Points of View (2). Wydawnictwo Naukowe Semper.
    Two parallelism hypotheses have been adopted and the third one on their relationship has been put forward. The illocutionary logic hypothesis states that the logic of linguistic commitments runs parallel to the logic of intentionality. The normative pragmatics hypothesis states that the logic of utterances runs parallel to the logic of linguistic commitments. According to the third stance or the logic projection hypothesis, the logic of utterances is the origin of all other logics used in describing psychological and social realities. (...)
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  • Puzzles about descriptive names.Edward Kanterian - 2009 - Linguistics and Philosophy 32 (4):409-428.
    This article explores Gareth Evans’s idea that there are such things as descriptive names, i.e. referring expressions introduced by a definite description which have, unlike ordinary names, a descriptive content. Several ignored semantic and modal aspects of this idea are spelled out, including a hitherto little explored notion of rigidity, super-rigidity. The claim that descriptive names are (rigidified) descriptions, or abbreviations thereof, is rejected. It is then shown that Evans’s theory leads to certain puzzles concerning the referential status of descriptive (...)
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  • Convention.Michael Rescorla - 2008 - Stanford Encyclopedia of Philosophy.
    The central philosophical task posed by conventions is to analyze what they are and how they differ from mere regularities of action and cognition. Subsidiary questions include: How do conventions arise? How are they sustained? How do we select between alternative conventions? Why should one conform to convention? What social good, if any, do conventions serve? How does convention relate to such notions as rule, norm, custom, practice, institution, and social contract? Apart from its intrinsic interest, convention is important because (...)
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  • The myth of reductive extensionalism.Itay Shani - 2007 - Axiomathes 17 (2):155-183.
    Extensionalism, as I understand it here, is the view that physical reality consists exclusively of extensional entities. On this view, intensional entitities must either be eliminated in favor of an ontology of extensional entities, or be reduced to such an ontology, or otherwise be admitted as non-physical. In this paper I argue that extensionalism is a misguided philosophical doctrine. First, I argue that intensional phenomena are not confined to the realm of language and thought. Rather, the ontology of such phenomena (...)
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  • Semantic closure.Graham Priest - 1984 - Studia Logica 43 (1-2):117 - 129.
    This paper argues for tlie claims that a) a natural language such as English is semanticaly closed b) semantic closure implies inconsistency. A corollary of these is that the semantics of English must be paraconsistent. The first part of the paper formulates a definition of semantic closure which applies to natural languages and shows that this implies inconsistency. The second section argues that English is semeantically closed. The preceding discussion is predicated on the assumption that there are no truth value (...)
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  • Varieties of Quotation.Herman Cappelen & Ernie Lepore - 1997 - Mind 106 (423):429-450.
    There are at least four varieties of quotation, including pure, direct, indirect and mixed. A theory of quotation, we argue, should give a unified account of these varieties of quotation. Mixed quotes such as 'Alice said that life is 'difficult to understand'', in which an utterance is directly and indirectly quoted concurrently, is an often overlooked variety of quotation. We show that the leading theories of pure, direct, and indirect quotation are unable to account for mixed quotation and therefore unable (...)
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  • Dualism, Monism, Physicalism.Tim Crane - 2000 - Mind and Society 1 (2):73-85.
    Dualism can be contrasted with monism, and also with physicalism. It is argued here that what is essential to physicalism is not just its denial of dualism , but the epistemological and ontological authority it gives to physical science. A physicalist view of the mind must be reductive in one or both of the following senses: it must identify mental phenomena with physical phenomena or it must give an explanation of mental phenomena in physical terms . There is little reason (...)
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  • Jerusalem Divided: The Hebrew University’s Philosophy Department Between Rotenstreich and Bar-Hillel.Tal Meir Giladi - 2023 - Philosophia 51 (4):1949-1976.
    The years following Israel’s founding were formative ones for the development of philosophy as an academic discipline in this country. During this period, the distinction between philosophy seen as contiguous with the humanities and social sciences, and philosophy seen as adjacent to the natural and exact sciences began to make its presence felt in the Hebrew University of Jerusalem. This distinction, which was manifest in the curriculum, was by no means unique to the Hebrew University, but reflected the broader bifurcation (...)
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  • El Tractatus al rescate de Principia Mathematica: Ramsey y los fundamentos logicistas de las matemáticas.Emilio Méndez Pinto - 2022 - Critica 54 (161):43-69.
    Mi objetivo es discutir las principales dificultades que Frank P. Ramsey encontró en Principia Mathematica y la solución que, vía el Tractatus Logico-Philosophicus, propuso al respecto. Sostengo que las principales dificultades que Ramsey encontró en Principia Mathematica están, todas, relacionadas con que Russell y Whitehead desatendieron la forma lógica de las proposiciones matemáticas, las cuales, según Ramsey, deben ser tautológicas.
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  • A metalinguistic and computational approach to the problem of mathematical omniscience.Zeynep Soysal - 2022 - Philosophy and Phenomenological Research 106 (2):455-474.
    In this paper, I defend the metalinguistic solution to the problem of mathematical omniscience for the possible-worlds account of propositions by combining it with a computational model of knowledge and belief. The metalinguistic solution states that the objects of belief and ignorance in mathematics are relations between mathematical sentences and what they express. The most pressing problem for the metalinguistic strategy is that it still ascribes too much mathematical knowledge under the standard possible-worlds model of knowledge and belief on which (...)
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  • The Will to Synthesis: Nietzsche, Carnap and the Continental-Analytic Gap.Felipe G. A. Moreira - 2020 - Nietzsche Studien 49 (1):150-170.
    This essay presupposes that Friedrich Nietzsche and Rudolf Carnap champion contrasting reactions to the fact that, throughout history, persons have been engaged in metaphysical disputes. Nietzsche embraces a libertarian reaction that is in agreement with his anti-democratic aristocratic political views, whereas Carnap endorses an egalitarian reaction aligned with his democratic and socialist political views. After characterizing these reactions, the essay argues for two claims. The first claim is that the stated contrasting reactions are to be considered, not only by the (...)
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  • Logic and Natural Language: Commitments and Constraints.Gil Sagi - 2020 - Disputatio 12 (58):377-408.
    In his new book, Logical Form, Andrea Iacona distinguishes between two different roles that have been ascribed to the notion of logical form: the logical role and the semantic role. These two roles entail a bifurcation of the notion of logical form. Both notions of logical form, according to Iacona, are descriptive, having to do with different features of natural language sentences. I agree that the notion of logical form bifurcates, but not that the logical role is merely descriptive. In (...)
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  • Antirealist Essentialism.Jonathan Livingstone-Banks - 2014 - Dissertation, University of Leeds
    This project is an investigation into the prospects for an antirealist theory of essence. Essentialism is the claim that at least some things have some of their properties essentially. Essentialist discourse includes claims such as “Socrates is essentially human”, and “Socrates is accidentally bearded”. Historically, there are two ways of interpreting essentialist discourse. I call these positions ‘modal essentialism’ and ‘neo-Aristotelian essentialism’. According to modal essentialism, for Socrates to be essentially human is for it to be necessary that he be (...)
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  • Why Can Computers Understand Natural Language?Juan Luis Gastaldi - 2020 - Philosophy and Technology 34 (1):149-214.
    The present paper intends to draw the conception of language implied in the technique of word embeddings that supported the recent development of deep neural network models in computational linguistics. After a preliminary presentation of the basic functioning of elementary artificial neural networks, we introduce the motivations and capabilities of word embeddings through one of its pioneering models, word2vec. To assess the remarkable results of the latter, we inspect the nature of its underlying mechanisms, which have been characterized as the (...)
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  • Language, Ontology, and the Carnap-Quine Debate.Jonathan Surovell - 2017 - Philosophia 45 (2):811-833.
    On a widespread reading, the Carnap-Quine debate about ontology concerns the objectivity and non-triviality of ontological claims. I argue that this view mischaracterizes Carnap’s aims in “Empiricism, Semantics, and Ontology” : Carnap’s fundamental goal is to free up decisions about scientific language from constraints deriving from ontological doctrine. The contention, based on his internal/external distinction, that ontological claims are either meaningless or trivial was Carnap’s means to achieving this more fundamental goal. Setting the record straight on this point brings out (...)
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  • Formal logic and ordinary proper names.Sid B. Thomas - 1967 - Australasian Journal of Philosophy 45 (1):19-31.
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  • (1 other version)Forms of Luminosity: Epistemic Modality and Hyperintensionality in Mathematics.David Elohim - 2017
    This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. David Elohim examines the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable (...)
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  • Frege and Carnap on the normativity of logic.Florian Steinberger - 2017 - Synthese 194 (1):143-162.
    In this paper I examine the question of logic’s normative status in the light of Carnap’s Principle of Tolerance. I begin by contrasting Carnap’s conception of the normativity of logic with that of his teacher, Frege. I identify two core features of Frege’s position: first, the normative force of the logical laws is grounded in their descriptive adequacy; second, norms implied by logic are constitutive for thinking as such. While Carnap breaks with Frege’s absolutism about logic and hence with the (...)
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  • The role of universal language in the early work of Carnap and Tarski.Iris Loeb - 2017 - Synthese 194 (1):15-31.
    It is often argued that by assuming the existence of a universal language, one prohibits oneself from conducting semantical investigations. It could thus be thought that Tarski’s stance towards a universal language in his fruitful Wahrheitsbegriff differs essentially from Carnap’s in the latter’s less successful Untersuchungen zur allgemeinen Axiomatik. Yet this is not the case. Rather, these two works differ in whether or not the studied fragments of the universal language are languages themselves, i.e., whether or not they are closed (...)
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  • Harmony and autonomy in classical logic.Stephen Read - 2000 - Journal of Philosophical Logic 29 (2):123-154.
    Michael Dummett and Dag Prawitz have argued that a constructivist theory of meaning depends on explicating the meaning of logical constants in terms of the theory of valid inference, imposing a constraint of harmony on acceptable connectives. They argue further that classical logic, in particular, classical negation, breaks these constraints, so that classical negation, if a cogent notion at all, has a meaning going beyond what can be exhibited in its inferential use. I argue that Dummett gives a mistaken elaboration (...)
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  • A metaphysical foundation for mathematical philosophy.Wójtowicz Krzysztof & Skowron Bartłomiej - 2022 - Synthese 200 (4):1-28.
    Although mathematical philosophy is flourishing today, it remains subject to criticism, especially from non-analytical philosophers. The main concern is that even if formal tools serve to clarify reasoning, they themselves contribute nothing new or relevant to philosophy. We defend mathematical philosophy against such concerns here by appealing to its metaphysical foundations. Our thesis is that mathematical philosophy can be founded on the phenomenological theory of ideas as developed by Roman Ingarden. From this platonist perspective, the “unreasonable effectiveness of mathematics in (...)
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  • A Syntactic Approach to Meillassoux’s Concept of Hyper-Chaos.Martin Orensanz - 2020 - Open Philosophy 3 (1):119-131.
    Axiomatic systems can be understood as subsets of syntactic systems. By a process of increasing abstraction, the notion of a syntactic system can become useful for understanding Meillassoux’s concept of hyper-Chaos.
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