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The Interpretation of Fregeʼs Philosophy

Cambridge: Harvard University Press (1980)

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  1. Second Order Science: Examining Hidden Presuppositions in the Practice of Science.Michael Lissack - 2017 - Foundations of Science 22 (3):557-573.
    The traditional sciences have always had trouble with ambiguity. To overcome this barrier, ‘science’ has imposed “enabling constraints”—hidden assumptions which are given the status of ceteris paribus. Such assumptions allow ambiguity to be bracketed away at the expense of transparency. These enabling constraints take the form of uncritically examined presuppositions, which we refer to throughout the article as “uceps.” The meanings of the various uceps are shown via their applicability to the science of climate change. Second order science examines variations (...)
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  • To be is to be an F.Øystein Linnebo - 2005 - Dialectica 59 (2):201–222.
    I defend the view that our ontology divides into categories, each with its own canonical way of identifying and distinguishing the objects it encompasses. For instance, I argue that natural numbers are identified and distinguished by their positions in the number sequence, and physical bodies, by facts having to do with spatiotemporal continuity. I also argue that objects belonging to different categories are ipso facto distinct. My arguments are based on an analysis of reference, which ascribes to reference a richer (...)
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  • Frege's proof of referentiality.Øystein Linnebo - 2004 - Notre Dame Journal of Formal Logic 45 (2):73-98.
    I present a novel interpretation of Frege’s attempt at Grundgesetze I §§29-31 to prove that every expression of his language has a unique reference. I argue that Frege’s proof is based on a contextual account of reference, similar to but more sophisticated than that enshrined in his famous Context Principle. Although Frege’s proof is incorrect, I argue that the account of reference on which it is based is of potential philosophical value, and I analyze the class of cases to which (...)
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  • On the “Gray’s Elegy” Argument and its Bearing on Frege’s Theory of Sense.James Levine - 2004 - Philosophy and Phenomenological Research 69 (2):251–295.
    In his recent book, "The Metaphysicians of Meaning" (2000), Gideon Makin argues that in the so-called "Gray's Elegy" argument (the GEA) in "On Denoting", Russell provides decisive arguments against not only his own theory of denoting concepts but also Frege's theory of sense. I argue that by failing to recognize fundamental differences between the two theories, Makin fails to recognize that the GEA has less force against Frege's theory than against Russell's own earlier theory. While I agree with many aspects (...)
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  • Analysis, abstraction principles, and slingshot arguments.James Levine - 2006 - Ratio 19 (1):43–63.
    Frege's views regarding analysis and synomymy have long been the subject of critical discussion. Some commentators, led by Dummett, have argued that Frege was committed to the view that each thought admits of a unique ultimate analysis. However, this interpretation is in apparent conflict with Frege's criterion of synonymy, according to which two sentence express the same thought if one cannot understand them without regarding them as having the same truth–value. In a recent article in this journal, Drai attempts to (...)
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  • On Frege's Notion of Predicate Reference.Palle Leth - 2013 - History and Philosophy of Logic 34 (4):335 - 350.
    Frege's extension of his distinction between Sinn and Bedeutung to predicate terms is widely considered to be problematic. Interpreters generally assume that the notion of Bedeutung comprises the name/bearer relation as a prototype and that the extension is justified only in so far as the relation of predicate terms to their alleged referents is analogous to the relation of names to their bearers. However, interpreters have generally paid insufficient attention to Frege's own dealing with the issue. By examining the relevant (...)
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  • Salmon on Fregean approaches to the paradox of analysis.Gary Kemp - 1995 - Philosophical Studies 78 (2):153 - 162.
  • Introduction: Vagueness and Ontology.Geert Keil - 2013 - Metaphysica 14 (2):149-164.
    The article introduces a special issue of the journal _Metaphysica_ on vagueness and ontology. The conventional view has it that all vagueness is semantic or representational. Russell, Dummett, Evans and Lewis, inter alia, have argued that the notion of “ontic” or “metaphysical” vagueness is not even intelligible. In recent years, a growing minority of philosophers have tried to make sense of the notion and have spelled it out in various ways. The article gives an overview and relates the idea of (...)
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  • The semantics of Frege's Grundgesetze.John N. Martin - 1984 - History and Philosophy of Logic 5 (2):143-176.
    Quantifiers in Frege's Grundgesetze like are not well-defined because the part Fx & Gx stands for a concept but the yoking conjunction is horizontalised and must stand for a truth-value. This standard interpretation is rejected in favor of a substitutional reading that, it is argued, both conforms better to the text and is well-defined. The theory of the horizontal is investigated in detail and the composite reading of Frege's connectives as made up of horizontals is rejected. The sense in which (...)
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  • Explicit Intensionalization, Anti‐Actualism, and How Smith's Murderer Might Not Have Murdered Smith.Bjørn Jespersen - 2005 - Dialectica 59 (3):285–314.
    The purpose of this article is to provide a non‐contradictory interpretation of sentences such as “Smith's murderer might not have murdered Smith”. An anti‐actualist, two‐dimensional framework including partial functions provides the basis for my solution. I argue for two claims. The modal profile of the proposition expressed by “The F might not have been an F” is complex: at any world where there is a unique F the proposition is true; at any world without a unique F the proposition has (...)
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  • Frege, contextuality and compositionality.Theo M. V. Janssen - 2001 - Journal of Logic, Language and Information 10 (1):115-136.
    There are two principles which bear the name Frege''sprinciple: the principle of compositionality, and the contextprinciple. The aim of this contribution is to investigate whether thisis justified: did Frege accept both principles at the same time, did hehold the one principle but not the other, or did he, at some moment,change his opinion? The conclusion is as follows. There is a developmentin Frege''s position. In the period of Grundlagen he followed to a strict form of contextuality. He repeatedcontextuality in later (...)
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  • Frege on Identity as a Relation of Names.Dale Jacquette - 2011 - Metaphysica 12 (1):51-72.
    This essay offers a detailed philosophical criticism of Frege’s popular thesis that identity is a relation of names. I consider Frege’s position as articulated both in ‘On Sense and Reference’, and in the Grundgesetze, where he appears to take an objectual view of identity, arguing that in both cases Frege is clearly committed to the proposition that identity is a relation holding between names, on the grounds that two different things can never be identical. A counterexample to Frege’s thesis is (...)
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  • What fa says about a.Lloyd Humberstone - 2000 - Dialectica 54 (1):3–28.
    A sentence mentioning an object can be regarded as saying any one of several things about that object, without thereby being ambiguous. Some of the (logical) repercussions of this commonplace observation are recorded, and some critical discussion is provided of views which would appear to go against it.
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  • Interpreting quantification in natural language.Norbert Hornstein - 1984 - Synthese 59 (2):117 - 150.
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  • Frege on the psychological significance of definitions.John F. Horty - 1993 - Philosophical Studies 72 (2-3):223 - 263.
  • Where do the natural numbers come from?Harold T. Hodes - 1990 - Synthese 84 (3):347-407.
  • The Priority Principle from Kant to Frege.Jeremy Heis - 2013 - Noûs 48 (2):268-297.
    In a famous passage (A68/B93), Kant writes that “the understanding can make no other use of […] concepts than that of judging by means of them.” Kant's thought is often called the thesis of the priority of judgments over concepts. We find a similar sounding priority thesis in Frege: “it is one of the most important differences between my mode of interpretation and the Boolean mode […] that I do not proceed from concepts, but from judgments.” Many interpreters have thought (...)
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  • The Composition of Thoughts.Richard Heck & Robert May - 2010 - Noûs 45 (1):126-166.
    Are Fregean thoughts compositionally complex and composed of senses? We argue that, in Begriffsschrift, Frege took 'conceptual contents' to be unstructured, but that he quickly moved away from this position, holding just two years later that conceptual contents divide of themselves into 'function' and 'argument'. This second position is shown to be unstable, however, by Frege's famous substitution puzzle. For Frege, the crucial question the puzzle raises is why "The Morning Star is a planet" and "The Evening Star is a (...)
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  • Putnam's indeterminacy argument: The skolemization of absolutely everything.Carsten Hansen - 1987 - Philosophical Studies 51 (1):77--99.
  • The Bearable Lightness of Being (vol 20, pg 399, 2010).Bob Hale - 2011 - Axiomathes 21 (4):597 - 597.
    How are philosophical questions about what kinds of things there are to be understood and how are they to be answered? This paper defends broadly Fregean answers to these questions. Ontological categories—such as object , property , and relation —are explained in terms of a prior logical categorization of expressions, as singular terms, predicates of varying degree and level, etc. Questions about what kinds of object, property, etc., there are are, on this approach, reduce to questions about truth and logical (...)
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  • Perspectives into analytical philosophy. [REVIEW]Leila Haaparanta - 1995 - Synthese 105 (1):123-139.
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  • What is Frege's Julius caesar problem?Dirk Greimann - 2003 - Dialectica 57 (3):261-278.
    This paper aims to determine what kind of problem Frege's famous “Julius Caesar problem” is. whether it is to be understood as the metaphysical problem of determining what kind of things abstract objects like numbers or value‐courses are, or as the epistemological problem of providing a means of recognizing these objects as the same again, or as the logical problem of providing abstract sortal concepts with a sharp delimitation in order to fulfill the law of excluded middle, or as the (...)
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  • The Context Principle and Dummett's Argument for Anti-realism.Karen Green - 2005 - Theoria 71 (2):92-117.
    Dummettian anti-realism–the refusal to endorse bivalence–is generally thought to be associated with idealism This paper argues that this is only true of the position developed by early Dummett. In a later manifestation Dummettian anti-realism is better thought of as providing the logic for anti-realisms of an error theoretic kind. Early on Dummett distinguished deep from shallow arguments for giving up bivalence: deep arguments followed a strong ‘sufficiency’ reading of Frege’s context principle, and made the sentence the primary vehicle of meaning. (...)
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  • Psychologism and anti-realism.Karen Green - 1986 - Australasian Journal of Philosophy 64 (4):488 – 500.
  • Individuating Abstract Objects: The Methodologies of Frege and Quine.Dirk Greimann - 2001 - History of Philosophy & Logical Analysis 4 (1):121-142.
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  • Indicating a Translation for ‘Bedeutung’.Karen Green - 2019 - History and Philosophy of Logic 41 (2):114-127.
    The translation of both ‘bedeuten’ and ‘Bedeutung’ in Frege's works remains sufficiently problematic that some contemporary authors prefer to leave these words untranslated. Here a case is made for returning to Russell's initial choice of ‘to indicate’ and ‘indication’ as better alternatives than the more usual ‘meaning’, ‘reference’, or ‘denotation’. It is argued that this choice has the philosophical payoff that Frege's controversial doctrines concerning the semantic values of sentences and predicative expressions are rendered far more comprehensible by it, and (...)
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  • Decomposition and analysis in Frege’s Grundgesetze.Gregory Landini - 1996 - History and Philosophy of Logic 17 (1-2):121-139.
    Frege seems to hold two incompatible theses:(i) that sentences differing in structure can yet express the same sense; and (ii) that the senses of the meaningful parts of a complex term are determinate parts of the sense of the term. Dummett offered a solution, distinguishing analysis from decomposition. The present paper offers an embellishment of Dummett?s distinction by providing a way of depicting the internal structures of complex senses?determinate structures that yield distinct decompositions. Decomposition is then shown to be adequate (...)
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  • The truth and nothing but the truth, yet never the whole truth: Frege, Russell and the analysis of unities.Graham Stevens - 2003 - History and Philosophy of Logic 24 (3):221-240.
    It is widely assumed that Russell's problems with the unity of the proposition were recurring and insoluble within the framework of the logical theory of his Principles of Mathematics. By contrast, Frege's functional analysis of thoughts (grounded in a type-theoretic distinction between concepts and objects) is commonly assumed to provide a solution to the problem or, at least, a means of avoiding the difficulty altogether. The Fregean solution is unavailable to Russell because of his commitment to the thesis that there (...)
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  • Vorprung durch Logik: The German Analytic Tradition.Hans-Johann Glock - 1999 - Royal Institute of Philosophy Supplement 44:137-166.
    Although at present analytic philosophy is practiced mainly in the English-speaking world, it is to a considerable part the invention of German speakers. Its emergence owes much to Russell, Moore, and American Pragmatism, but even more to Frege, Wittgenstein, and the logical positivists of the Vienna Circle. No one would think of analytic philosophy as a specifically Anglophone phenomenon, if the Nazis had not driven many of its pioneers out of central Europe.
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  • Relational modality.Kathrin Glüer & Peter Pagin - 2008 - Journal of Logic, Language and Information 17 (3):307-322.
    Saul Kripke’s thesis that ordinary proper names are rigid designators is supported by widely shared intuitions about the occurrence of names in ordinary modal contexts. By those intuitions names are scopeless with respect to the modal expressions. That is, sentences in a pair like (a) Aristotle might have been fond of dogs (b) Concerning Aristotle, it is true that he might have been fond of dogs will have the same truth value. The same does not in general hold for definite (...)
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  • Signification and the unconscious.Grant Gillett - 2001 - Philosophical Psychology 14 (4):477 – 498.
    In European philosophical psychology, the work of Jacques Lacan has exerted a great deal of influence but it has received little attention from analytic philosophers. He is famous for the view that the unconscious is a repository of influences arising from language and the meanings it captures, but the presentation of his ideas is sometimes perplexing and impenetrable and its conceptual links with analytic philosophers like Frege and Wittgenstein are not easily discerned. In fact, there are a number of such (...)
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  • On Problems with Descriptivism: Psychological Assumptions and Empirical Evidence.Eduardo García-ramírez & Marilyn Shatz - 2011 - Mind and Language 26 (1):53-77.
    We offer an empirical assessment of description theories of proper names. We examine empirical evidence on lexical and cognitive development, memory, and aphasia, to see whether it supports Descriptivism. We show that description theories demand much more, in terms of psychological assumptions, than what the data suggest; hence, they lack empirical support. We argue that this problem undermines their success as philosophical theories for proper names in natural languages. We conclude by presenting and defending a preliminary alternative account of reference (...)
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  • Singular Terms, Predicates and the Spurious ‘Is’ of Identity.Danny Frederick - 2013 - Dialectica 67 (3):325-343.
    Contemporary orthodoxy affirms that singular terms cannot be predicates and that, therefore, ‘is’ is ambiguous as between predication and identity. Recent attempts to treat names as predicates do not challenge this orthodoxy. The orthodoxy was built into the structure of modern formal logic by Frege. It is defended by arguments which I show to be unsound. I provide a semantical account of atomic sentences which draws upon Mill's account of predication, connotation and denotation. I show that singular terms may be (...)
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  • There is nothing to identity.M. Oreste Fiocco - 2021 - Synthese 199 (3-4):7321-7337.
    Several have denied that there is, specifically, a criterion of identity for persons and some deny that there are, for any kind, diachronic criteria of identity. I argue, however, that there are no criteria of identity, either synchronic or diachronic, for any kind whatsoever. I begin by elaborating the notion of a criterion of identity in order to clarify what exactly is being denied when I maintain there are none. I examine the motivation of those who qualify in some way (...)
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  • An interview with Michael Dummett: from analytical philosophy to voting analysis and beyond.Maurice Salles & Rudolf Fara - 2006 - Social Choice and Welfare 27 (2):347-364.
    Social choice and welfare economics are subjects at the frontier of many disciplines. Even if economics played the major role in their development, sociology, psychology and, principally, political science, mathematics and philosophy have been central for the manifold inventiveness of the employed methods and for the diversity of the studied topics. This phenomenon can be compared with game theory, a subject which has, of course, many connections with social choice and welfare. This fact is reflected by the disciplinary origins of (...)
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  • Recent Defenses of Descriptivism.Anthony Everett - 2005 - Mind and Language 20 (1):103-139.
    David Sosa, Michael Nelson, and Jason Stanley have recently offered a series of interesting and provocative challenges to Kripke's modal arguments against Descriptivism. In this paper I explore these challenges and some of the issues to which they give rise. I argue that, in the end, all three challenges fail.
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  • A Putnam's Progress.Ernest Lepore & Barry Loewer - 1988 - Midwest Studies in Philosophy 12 (1):459-473.
  • Logical form and the vernacular.Reinaldo Elugardo & Robert J. Stainton - 2001 - Mind and Language 16 (4):393–424.
    Vernacularism is the view that logical forms are fundamentally assigned to natural language expressions, and are only derivatively assigned to anything else, e.g., propositions, mental representations, expressions of symbolic logic, etc. In this paper, we argue that Vernacularism is not as plausible as it first appears because of non-sentential speech. More specifically, there are argument-premises, meant by speakers of non-sentences, for which no natural language paraphrase is readily available in the language used by the speaker and the hearer. The speaker (...)
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  • Frege on Sense Identity, Basic Law V, and Analysis.Philip A. Ebert - 2016 - Philosophia Mathematica 24 (1):9-29.
    The paper challenges a widely held interpretation of Frege's conception of logic on which the constituent clauses of basic law V have the same sense. I argue against this interpretation by first carefully looking at the development of Frege's thoughts in Grundlagen with respect to the status of abstraction principles. In doing so, I put forth a new interpretation of Grundlagen §64 and Frege's idea of ‘recarving of content’. I then argue that there is strong evidence in Grundgesetze that Frege (...)
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  • Objectivity and reality in Lotze and Frege.Michael Dummett - 1982 - Inquiry: An Interdisciplinary Journal of Philosophy 25 (1):95 – 114.
    Frege held that logical objects are objective but not wirklich, and that psychologism follows from the mistake of believing whatever is not wirklich to be subjective. It has been suggested that Frege's use of the terms ?objective? and ?wirklich? is in line with that found in Lotze's Logic; from this it has been inferred that Frege's doctrines have been misinterpreted as being ontological in character, but that they really belong to epistemology. In fact, Lotze held that something may be the (...)
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  • Husserl and the Problem of Abstract Objects.George Duke & Peter Woelert - 2015 - Pacific Philosophical Quarterly 97 (1):27-47.
    One major difficulty confronting attempts to clarify the epistemological and ontological status of abstract objects is determining the sense, if any, in which such entities may be characterised as mind and language independent. Our contention is that the tolerant reductionist position of Michael Dummett can be strengthened by drawing on Husserl's mature account of the constitution of ideal objects and mathematical objectivity. According to the Husserlian position we advocate, abstract singular terms pick out weakly mind-independent sedimented meaning-contents. These meaning-contents serve (...)
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  • Fregean Facts.Dalia Drai - 2017 - Acta Analytica 32 (2):161-168.
    Two important Fregean ideas appear to conflict. The first is that a thought can be decomposed in different ways, and the second is that a thought is constituted by the senses of its constituents. This paper is a defense of Dummett’s suggestion of a way to reconcile between those two theses through the claim that although the same thought can be structured in different ways by different sentences; one of the structures is privileged. My defense focuses on the charge raised (...)
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  • Analytic philosophy.Trevor Hussey M. A. DPhil - 2002 - Nursing Philosophy 3 (1):66–69.
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  • Los orígenes de la filosofía analítica y la trivialización de la filosofía.Kurt Wischin - 2015 - Disputatio. Philosophical Research Bulletin 4 (5):175--190.
    [ES] El logicismo de Frege o, en términos más generales, su esfuerzo por construir un fundamento de razonamiento deductivo para las matemáticas fue motivado por el deseo de combatir el empirismo radical que empezaba a dominar la discusión científica en las tierras de habla alemana después de la muerte de Hegel. El objetivo similar de Russell unas décadas después, en cambio, se debe en su origen preponderantemente al deseo de superar el neohegelianismo de Bradley. El joven Wittgenstein formuló a partir (...)
     
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  • Thoughts about Thoughts: The Structure of Fregean Propositions.Nathan Bice - 2019 - Dissertation, Columbia University
    This dissertation is about the structure of thought. Following Gottlob Frege, I define a thought as the sort of content relevant to determining whether an assertion is true or false. The historical component of the dissertation involves interpreting Frege’s actual views on the structure of thought. I argue that Frege did not think that a thought has a unique decomposition into its component senses, but rather the same thought can be decomposed into senses in a variety of distinct ways. I (...)
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  • The Decomposition of Thought.Nathan Bice - manuscript
    This paper defends an interpretation of Gottlob Frege’s views on the structure of thought. I argue that Frege did not think that a thought has a unique decomposition into its component senses, but rather the same thought can be decomposed into senses in multiple, distinct ways. These multiple decompositions will often have distinct logical forms. I also argue against Michael Dummett and others that Frege was committed to the sense of a predicate being a function from the sense of a (...)
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  • Abstract objects.Gideon Rosen - 2008 - Stanford Encyclopedia of Philosophy.
  • Names.Sam Cumming - 2009 - Stanford Encyclopedia of Philosophy.
  • Vagueness, Language, and Ontology.Jesse Prinz - 1998 - Electronic Journal of Analytic Philosophy 6.
    [1] We all know that language is vague. The majority of our terms admit borderline cases. We are notoriously unable to resolve the precise number grains required for a portion of sand to fall under the predicate "heap". It might be supposed that blurry boundaries are, at bottom, an ontological phenomenon. Perhaps the indeterminacy of our predicates is inherited from the indeterminacy of the properties they denote. Perhaps objects can also by vague, rendering singularly terms, including proper names, uncomfortably imprecise. (...)
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  • Modality in Brandom's Incompatibility Semantics.Giacomo Turbanti - 2011 - In María Inés Crespo, Dimitris Gakis & Galit Weidman-Sassoon (eds.), Proceedings of the Amsterdam Graduate Conference - Truth, Meaning, and Normativity. ILLC Publications.
    In the fifth of his John Locke Lectures, Robert Brandom takes up the challenge to define a formal semantics for modelling conceptual contents according to his normative analysis of linguistic practices. The project is to exploit the notion of incompatibility in order to directly define a modally robust relation of entailment. Unfortunately, it can be proved that, in the original definition, the modal system represented by Incompatibility Semantics (IS) collapses into propositional calculus. In this paper I show how IS can (...)
     
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