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The Frege reader

Cambridge: Blackwell (1997)

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  1. Purism: The Inconceivability of Inconsistency within Space as the Basis of Logic.* Primus - 2019 - Dialogue 62 (1):1-24.
    I propose that an irreducible property of physical space — consistency — is the origin of logic. I propose that an inconsistent space is inconceivable and that this inconceivability can be recognized as the force behind logical propositions. The implications of this argument are briefly explored and then applied to address two paradoxes: Zeno of Elea’s paradox regarding the race between Achilles and the Tortoise, and Lewis Carroll’s paradox regarding the Tortoise’s conversation with Achilles after the race. I conclude that (...)
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  • The Nature of Appearance in Kant’s Transcendentalism: A Seman- tico-Cognitive Analysis.Sergey L. Katrechko - 2018 - Kantian Journal 37 (3):41-55.
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  • Truth in Frege.Richard Heck & Robert May - 2018 - In Michael Glanzberg (ed.), The Oxford Handbook of Truth. Oxford, United Kingdom: Oxford University Press.
    A general survey of Frege's views on truth, the paper explores the problems in response to which Frege's distinctive view that sentences refer to truth-values develops. It also discusses his view that truth-values are objects and the so-called regress argument for the indefinability of truth. Finally, we consider, very briefly, the question whether Frege was a deflationist.
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  • The importance of being Ernesto: Reference, truth and logical form.A. Bianchi, V. Morato & G. Spolaore (eds.) - 2016 - Padova: Padova University Press.
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  • Truth Incorporated.Gurpreet Rattan - 2016 - Noûs 50 (2):227-258.
    What is the cognitive value of the concept of truth? What epistemic difference does the concept of truth make to those who grasp it? This paper employs a new perspective for thinking about the concept of truth and recent debates concerning it, organized around the question of the cognitive value of the concept of truth. The paper aims to defend a substantively correct and dialectically optimal account of the cognitive value of the concept of truth. This perspective is employed in (...)
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  • Wittgenstein and nonsense: Psychologism, kantianism, and the habitus.José Medina - 2003 - International Journal of Philosophical Studies 11 (3):293 – 318.
    This paper is a critical examination of Wittgenstein's view of the limits of intelligibility. In it I criticize standard analytic readings of Wittgenstein as an advocate of transcendental or behaviourist theses in epistemology; and I propose an alternative interpretation of Wittgenstein's view as a social contextualism that transcends the false dichotomy between Kantianism and psychologism. I argue that this social contextualism is strikingly similar to the social account of epistemic practices developed by Pierre Bourdieu. Through a comparison between Wittgenstein's and (...)
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  • The Heresy of Paraphrase: When the Medium Really Is the Message.Ernie Lepore - 2009 - Midwest Studies in Philosophy 33 (1):177-197.
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  • Popper's Third World: Moral habits, moral habitat and their maintenance.Jānis Ozoliņš - 2010 - Educational Philosophy and Theory 42 (7):742-761.
    If we accept Popper's idea that the human habitat is described in terms of three worlds, and that there are overlaps between these three worlds, our moral actions and values will also be subject to the same kinds of consideration as a repertoire of behaviours exhibited in a physical environment. We will develop moral habits in a moral habitat and our moral behaviours will also be dependent on the kind of moral habitat in which we find ourselves.There are three main (...)
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  • Four semantic layers of common nouns.Beihai Zhou & Yi Mao - 2010 - Synthese 175 (1):47 - 68.
    This article proposes a four-layer semantic structure for common nouns. Each layer matches up with a semantic entity of a certain type in Montague’s intensional semantics. It is argued that a common noun denotes a sense and a concept, which are functions. For any given context, the sense of a term determines its extensions and the concept denoted by the term specifies its intensions. Intensions are treated as sets of senses. The membership relation between a sense and an intension is (...)
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  • On Trying to Leave Truth Alone.David Zapero - 2021 - Philosophical Quarterly 72 (1):197-217.
    According to a certain conception of language, any sentence can, when used on an occasion, have any of indefinitely many truth-conditions. Such a conception of language gives us reason to think that the question of whether the notion of truth has a distinctive content cannot be settled by looking solely at the predication of truth. By focusing on the predicate ‘true’ when trying to determine the significance of the notion of truth, we may have been looking in the wrong place.
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  • Carving Content at the Joints.Stephen Yablo - 2008 - Canadian Journal of Philosophy 38 (S1):145-177.
    Here is Frege in Foundations of Arithmetic, § 64:The judgment 'Line a is parallel to line b', in symbols: ab, can be taken as an identity. If we do this, we obtain the concept of direction, and say: 'The direction of line a is equal to the direction of line b.' Thus we replace the symbol by the more generic symbol =, through removing what is specific in the content of the former and dividing it between a and b. We (...)
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  • On epistemic conceptions of meaning: Use, meaning and normativity.Daniel Whiting - 2008 - European Journal of Philosophy 17 (3):416-434.
    A number of prominent philosophers advance the following ideas: (1) Meaning is use. (2) Meaning is an intrinsically normative notion. Call (1) the use thesis, hereafter UT, and (2) the normativity thesis, hereafter NT. They come together in the view that for a linguistic expression to have meaning is for there to be certain proprieties governing its employment.1 These ideas are often associated with a third.
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  • Calculus ratiocinator versus characteristica universalis? The two traditions in logic, revisited.Volker Peckhaus - 2004 - History and Philosophy of Logic 25 (1):3-14.
    It is a commonplace that in the development of modern logic towards its actual shape at least two directions or traditions have to be distinguished. These traditions may be called, following the mo...
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  • Truth without Dependence.Robert Trueman - 2022 - Aristotelian Society Supplementary Volume 96 (1):89-121.
    According to the Dependency Theory, truth asymmetrically depends on the world, in the following sense: true propositions are true because the world makes them true. The Dependency Theory strikes many philosophers as incontrovertible, but in this paper I reject it. I begin by presenting a problem for the Dependency Theory. I then develop an alternative to the Dependency Theory which avoids that problem. This alternative is an immodest Identity Theory of Truth, and I end the paper by responding to Dodd’s (...)
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  • The Prenective View of propositional content.Robert Trueman - 2018 - Synthese 195 (4):1799-1825.
    Beliefs have what I will call ‘propositional content’. A belief is always a belief that so-and-so: a belief that grass is green, or a belief that snow is white, or whatever. Other things have propositional content too, such as sentences, judgments and assertions. The Standard View amongst philosophers is that what it is to have a propositional content is to stand in an appropriate relation to a proposition. Moreover, on this view, propositions are objects, i.e. the kind of thing you (...)
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  • The concept horse with no name.Robert Trueman - 2015 - Philosophical Studies 172 (7):1889-1906.
    In this paper I argue that Frege’s concept horse paradox is not easily avoided. I do so without appealing to Wright’s Reference Principle. I then use this result to show that Hale and Wright’s recent attempts to avoid this paradox by rejecting or otherwise defanging the Reference Principle are unsuccessful.
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  • Saying Something about a Concept: Frege on Statements of Number.Mark Textor - 2021 - History and Philosophy of Logic 42 (1):60-71.
    The paper gives a historically informed reconstruction of Frege's view of statements of number. The reconstruction supports Frege's claim that a statement can be 'about a concept' although it does not contain a singular term referring to the concept. Hence, Frege's philosophy of number is not subject to the problems Frege sees for singular reference to concepts.
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  • Recanati on Communication of First‐person Thoughts.Sajed Tayebi - 2012 - Thought: A Journal of Philosophy 1 (3):210-218.
    In this paper, I will provide a counterexample to Recanati's account of first-person communication (1995, 2010, 2012). In particular, I will show that Recanati's constraints are not sufficient for the success of first-person communication. My argument against Recanati's account is parallel to Recanati's argument against neo-Russellian accounts, and shows that the same problem resurfaces even in the presence of linguistically encoded mode of presentation in a neo-Fregean framework of mental files.
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  • Truth, assertion, and the horizontal: Frege on "the essence of logic".William W. Taschek - 2008 - Mind 117 (466):375-401.
    In the opening to his late essay, Der Gedanke, Frege asserts without qualification that the word "true" points the way for logic. But in a short piece from his Nachlass entitled "My Basic Logical Insights", Frege writes that the word true makes an unsuccessful attempt to point to the essence of logic, asserting instead that "what really pertains to logic lies not in the word "true" but in the assertoric force with which the sentence is uttered". Properly understanding what Frege (...)
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  • The Application of Constraint Semantics to the Language of Subjective Uncertainty.Eric Swanson - 2016 - Journal of Philosophical Logic 45 (2):121-146.
    This paper develops a compositional, type-driven constraint semantic theory for a fragment of the language of subjective uncertainty. In the particular application explored here, the interpretation function of constraint semantics yields not propositions but constraints on credal states as the semantic values of declarative sentences. Constraints are richer than propositions in that constraints can straightforwardly represent assessments of the probability that the world is one way rather than another. The richness of constraints helps us model communicative acts in essentially the (...)
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  • Modality in Language.Eric Swanson - 2008 - Philosophy Compass 3 (6):1193-1207.
    This article discusses some of the ways in which natural language can express modal information – information which is, to a first approximation, about what could be or must be the case, as opposed to being about what actually is the case. It motivates, explains, and raises problems for Angelika Kratzer's influential theory of modal auxiliaries, and introduces a new approach to one important debate about the relationships between modality, evidentiality, context change, and imperative force.
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  • Phenomenal Concepts.Pär Sundström - 2011 - Philosophy Compass 6 (4):267-281.
    It's a common idea in philosophy that we possess a peculiar kind of "phenomenal concept" by which we can think about our conscious states in "inner" and "direct" ways, as for example, when I attend to the way a current pain feels and think about this feeling as such. Such phenomenal ways of thinking figure in a variety of theoretical contexts. The bulk of this article discusses their use in a certain strategy – the phenomenal concept strategy – for defending (...)
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  • The Minimal A-theory.Meghan Sullivan - 2012 - Philosophical Studies 158 (2):149-174.
    Timothy Williamson thinks that every object is a necessary, eternal existent. In defense of his view, Williamson appeals primarily to considerations from modal and tense logic. While I am uncertain about his modal claims, I think there are good metaphysical reasons to believe permanentism: the principle that everything always exists. B-theorists of time and change have long denied that objects change with respect to unqualified existence. But aside from Williamson, nearly all A-theorists defend temporaryism: the principle that there are temporary (...)
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  • What is Said, Linguistic Meaning, and Directly Referential Expressions.Isidora Stojanovic - 2006 - Philosophy Compass 1 (4):373-397.
    Philosophers of language distinguish among the lexical or linguistic meaning of the sentence uttered, what is said by an utterance of the sentence, and speaker's meaning, or what is conveyed by the speaker to her audience. In most views, what is said is the semantic or truth-conditional content of the utterance, and is irreducible either to the linguistic meaning or to the speaker's meaning. I will show that those views account badly for people's intuitions on what is said. I will (...)
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  • D. Z. Phillips and Wittgenstein's on certainty.Guy Stock - 2007 - Philosophical Investigations 30 (3):285–318.
    I start from Phillips' discussion of Rhees's dissatisfaction with the idea of a language‐game. Then, from a rereading of Moore, I go on to exemplify interconnected uses of the expressions “language‐game,”“recurrent procedure,”“world‐picture,”“formal procedure,”“agreement in judgment,”“genre picture” and “form of life.” The discussion is related to sense perception, our knowledge of time and space, and the picture‐theory. These topics connect with Wittgenstein's earlier treatment of the will – which changed markedly later. The subtext (in footnotes) confronts (i) the sceptical methods of (...)
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  • Russell and the unity of the proposition.Graham Stevens - 2008 - Philosophy Compass 3 (3):491–506.
    In this article I present a summary of Bertrand Russell's protracted attempts to solve the problem of the unity of the proposition, and explain the significance of the problem for Russell's philosophy. Unlike many other accounts which take the problem to be confined to Russell's early theories of propositional content, I argue that the problem (or variants of it) is a recurring theme throughout the whole of Russell's career.
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  • Self-Consciousness and Objectivity, by Sebastian Rödl.Nicholas F. Stang - 2021 - Mind 131 (524):1339-1347.
    In his recent book, Self-Consciousness and Objectivity: An Introduction to Absolute Idealism, Sebastian Rödl aims to transform our understanding, not only of th.
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  • On Possibly Nonexistent Propositions.Jeff Speaks - 2012 - Philosophy and Phenomenological Research 85 (3):528-562.
    Alvin Plantinga gave a reductio of the conjunction of the following three theses: Existentialism (the view that, e.g., the proposition that Socrates exists can't exist unless Socrates does), Serious Actualism (the view that nothing can have a property at a world without existing at that world) and Contingency (the view that some objects, like Socrates, exist only contingently). I sketch a view of truth at a world which enables the Existentialist to resist Plantinga's argument without giving up either Serious Actualism (...)
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  • Vagueness as closeness.Nicholas J. J. Smith - 2005 - Australasian Journal of Philosophy 83 (2):157 – 183.
    This paper presents and defends a definition of vagueness, compares it favourably with alternative definitions, and draws out some consequences of accepting this definition for the project of offering a substantive theory of vagueness. The definition is roughly this: a predicate 'F' is vague just in case for any objects a and b, if a and b are very close in respects relevant to the possession of F, then 'Fa' and 'Fb' are very close in respect of truth. The definition (...)
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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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  • Tugendhat's Idea of Truth.Christian Skirke - 2016 - European Journal of Philosophy 24 (4):831-854.
    This paper argues that Tugendhat's critique of Heidegger's existential conception of truth as disclosedness is usually misunderstood. The main claim of this paper is that Tugendhat insists against Heidegger on certain conventional features of truth such as conformity of the law of non-contradiction, not because he adheres to an ideal of truth as correctness; rather, he proposes an alternative existential conception of truth in terms of an active, critical or self-critical, engagement with untruth. Various recent objections to Tugendhat's critique of (...)
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  • Why be an anti-individualist?Laura Schroeter - 2008 - Philosophy and Phenomenological Research 77 (1):105-141.
    Anti-individualists claim that concepts are individuated with an eye to purely external facts about a subject's environment about which she may be ignorant or mistaken. This paper offers a novel reason for thinking that anti-individualistic concepts are an ineliminable part of commonsense psychology. Our commitment to anti-individualism, I argue, is ultimately grounded in a rational epistemic agent's commitment to refining her own representational practices in the light of new and surprising information about her environment. Since anti-individualism is an implicit part (...)
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  • Two‐Dimensional Semantics and Sameness of Meaning.Laura Schroeter - 2013 - Philosophy Compass 8 (1):84-99.
    In recent years, two-dimensional (2D) semantics has been used to develop a broadly descriptivist approach to meaning that seeks to accommodate externalists’ counterexamples to traditional descriptivism. The 2D possible worlds framework can be used to capture a speaker’s implicit dispositions to identify the reference of her words on the basis of empirical information about her actual environment. Proponents of 2D semantics argue that this aspect of linguistic understanding plays the core theoretical role of meanings: 2D semantics allows us to specify (...)
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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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  • On Frege’s Begriffsschrift Notation for Propositional Logic: Design Principles and Trade-Offs.Dirk Schlimm - 2018 - History and Philosophy of Logic 39 (1):53-79.
    Well over a century after its introduction, Frege's two-dimensional Begriffsschrift notation is still considered mainly a curiosity that stands out more for its clumsiness than anything else. This paper focuses mainly on the propositional fragment of the Begriffsschrift, because it embodies the characteristic features that distinguish it from other expressively equivalent notations. In the first part, I argue for the perspicuity and readability of the Begriffsschrift by discussing several idiosyncrasies of the notation, which allow an easy conversion of logically equivalent (...)
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  • Metaphors for Mathematics from Pasch to Hilbert.Dirk Schlimm - 2016 - Philosophia Mathematica 24 (3):308-329.
    How mathematicians conceive of the nature of mathematics is reflected in the metaphors they use to talk about it. In this paper I investigate a change in the use of metaphors in the late nineteenth and early twentieth centuries. In particular, I argue that the metaphor of mathematics as a tree was used systematically by Pasch and some of his contemporaries, while that of mathematics as a building was deliberately chosen by Hilbert to reflect a different view of mathematics. By (...)
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  • Mathematical Concepts and Investigative Practice.Dirk Schlimm - 2012 - In Uljana Feest & Friedrich Steinle (eds.), Scientific Concepts and Investigative Practice. de Gruyter. pp. 127-148.
    In this paper I investigate two notions of concepts that have played a dominant role in 20th century philosophy of mathematics. According to the first, concepts are definite and fixed; in contrast, according to the second notion concepts are open and subject to modifications. The motivations behind these two incompatible notions and how they can be used to account for conceptual change are presented and discussed. On the basis of historical developments in mathematics I argue that both notions of concepts (...)
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  • Illusion of transparency.Laura Schroeter - 2007 - Australasian Journal of Philosophy 85 (4):597 – 618.
    It's generally agreed that, for a certain a class of cases, a rational subject cannot be wrong in treating two elements of thought as co-referential. Even anti-individualists like Tyler Burge agree that empirical error is impossible in such cases. I argue that this immunity to empirical error is illusory and sketch a new anti-individualist approach to concepts that doesn't require such immunity.
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  • Descriptions, truth value intuitions, and questions.Anders J. Schoubye - 2009 - Linguistics and Philosophy 32 (6):583-617.
    Since the famous debate between Russell (Mind 14: 479–493, 1905, Mind 66: 385–389, 1957) and Strawson (Mind 59: 320–344, 1950; Introduction to logical theory, 1952; Theoria, 30: 96–118, 1964) linguistic intuitions about truth values have been considered notoriously unreliable as a guide to the semantics of definite descriptions. As a result, most existing semantic analyses of definites leave a large number of intuitions unexplained. In this paper, I explore the nature of the relationship between truth value intuitions and non-referring definites. (...)
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  • Calculus as method or calculus as rules? Boole and Frege on the aims of a logical calculus.Dirk Schlimm & David Waszek - 2021 - Synthese 199 (5-6):11913-11943.
    By way of a close reading of Boole and Frege’s solutions to the same logical problem, we highlight an underappreciated aspect of Boole’s work—and of its difference with Frege’s better-known approach—which we believe sheds light on the concepts of ‘calculus’ and ‘mechanization’ and on their history. Boole has a clear notion of a logical problem; for him, the whole point of a logical calculus is to enable systematic and goal-directed solution methods for such problems. Frege’s Begriffsschrift, on the other hand, (...)
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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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  • Perceptual concepts: in defence of the indexical model.François Recanati - 2013 - Synthese 190 (10):1841-1855.
    Francois Recanati presents the basic features of the *indexical model* of mental files, and defends it against several interrelated objections. According to this model, mental files refer to objects in a way that is analogous to that of indexicals in language: a file refers to an object in virtue of a contextual relation between them. For instance, perception and attention provide the basis for demonstrative files. Several objections, some of them from David Papineau, concern the possibility of files to preserve (...)
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  • Frege, Dedekind, and the Origins of Logicism.Erich H. Reck - 2013 - History and Philosophy of Logic 34 (3):242-265.
    This paper has a two-fold objective: to provide a balanced, multi-faceted account of the origins of logicism; to rehabilitate Richard Dedekind as a main logicist. Logicism should be seen as more deeply rooted in the development of modern mathematics than typically assumed, and this becomes evident by reconsidering Dedekind's writings in relation to Frege's. Especially in its Dedekindian and Fregean versions, logicism constitutes the culmination of the rise of ?pure mathematics? in the nineteenth century; and this rise brought with it (...)
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  • Essence Without Fundamentality.Agustín Rayo - 2015 - Theoria : An International Journal for Theory, History and Fundations of Science 30 (3):349-363.
    I argue for a conception of essence that does not rely on distinctions of metaphysical fundamentality.
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  • Tacit knowledge of grammar: A reply to Knowles.Gurpreet Rattan - 2002 - Philosophical Psychology 15 (2):135 – 154.
    I defend the non-cognitivist outlook on knowledge of grammar from the criticisms levelled against it by Jonathan Knowles. The first part of the paper is largely critical. First, I argue that Knowles's argument against Christopher Peacocke and Martin Davies's non-cognitivist account of the psychological reality of grammar fails, and thus that no reason has been given to think that cognitivism is integral to an understanding of Chomskyan theoretical linguistics. Second, I argue that cognitivism is philosophically problematic. In particular, I argue (...)
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  • Public Proper Names, Idiolectal Identifying Descriptions.Stavroula Glezakos - 2009 - Linguistics and Philosophy 32 (3):317-326.
    Direct reference theorists tell us that proper names have no semantic value other than their bearers, and that the connection between name and bearer is unmediated by descriptions or descriptive information. And yet, these theorists also acknowledge that we produce our name-containing utterances with descriptions on our minds. After arguing that direct reference proponents have failed to give descriptions their due, I show that appeal to speaker-associated descriptions is required if the direct reference portrayal of speakers wielding and referring with (...)
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  • Frege’s bedeutung kaip reikšmė ir kaip nurodymas.Albinas A. Plėšnys & Marius Povilas Šaulauskas - 2017 - Problemos 91:30.
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  • Compositionality, Relevance, and Peirce’s Logic of Existential Graphs.Ahti-Veikko Pietarinen - 2005 - Axiomathes 15 (4):513-540.
    Charles S. Peirce’s pragmatist theory of logic teaches us to take the context of utterances as an indispensable logical notion without which there is no meaning. This is not a spat against compositionality per se , since it is possible to posit extra arguments to the meaning function that composes complex meaning. However, that method would be inappropriate for a realistic notion of the meaning of assertions. To accomplish a realistic notion of meaning (as opposed e.g. to algebraic meaning), Sperber (...)
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  • Unity through truth.Bryan Pickel - 2019 - Synthese 196 (4):1425-1452.
    Renewed worries about the unity of the proposition have been taken as a crucial stumbling block for any traditional conception of propositions. These worries are often framed in terms of how entities independent of mind and language can have truth conditions: why is the proposition that Desdemona loves Cassio true if and only if she loves him? I argue that the best understanding of these worries shows that they should be solved by our theory of truth and not our theory (...)
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  • The Functional Composition of Sense.Bryan Pickel - 2021 - Synthese 199 (3-4):6917-6942.
    A central dispute in understanding Frege’s philosophy concerns how the sense of a complex expression relates to the senses of its component expressions. According to one reading, the sense of a complex expression is a whole built from the senses of the component expressions. On this interpretation, Frege is an early proponent of structured propositions. A rival reading says that senses compose by functional application: the sense of a complex expression is the value of the function denoted by its functional (...)
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