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The Frege reader

Cambridge, Mass.: 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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  • First-Person Propositions.Peter W. Hanks - 2012 - Philosophy and Phenomenological Research 86 (1):155-182.
    A first-person proposition is a proposition that only a single subject can assert or believe. When I assert ‘I am on fire’ I assert a first-person proposition that only I have access to, in the sense that no one else can assert or believe this proposition. This is in contrast to third-person propositions, which can be asserted or believed by anyone.
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  • Unity, truth and the liar: the modern relevance of medieval solutions to the liar paradox.Shahid Rahman, Tero Tulenheimo & Emmanuel Genot (eds.) - 2008 - New York: Springer.
    This volume includes a target paper, taking up the challenge to revive, within a modern (formal) framework, a medieval solution to the Liar Paradox which did ...
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  • Phenomenological Objects & Meaning: A Fregean & Husserlian Discussion.Daniel Sierra - manuscript
    Gottlob Frege and Edmund Husserl are two seemingly different philosophers in their methodology. Both have significantly influenced Western philosophy in that their contributions established fields within philosophy that are of intensive study today. Still, their differences in methodology have, in certain instances, yielded similar or distinct results. Their results ranged from the distinction of sense and reference, objectivity, and the theory of mathematics: specifically, their definition of number. Frege and Husserl have such striking similarities in their theory of sense and (...)
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  • Logic and philosophy of mathematics in the early Husserl.Stefania Centrone - 2010 - New York: Springer.
    This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to ...
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  • Mental Files.François Récanati - 2012 - Oxford, GB: Oxford University Press.
    Over the past fifty years the philosophy of language and mind has been dominated by a nondescriptivist approach to content and reference. This book attempts to recast and systematize that approach by offering an indexical model in terms of mental files. According to Recanati, we refer through mental files, the function of which is to store information derived through certain types of contextual relation the subject bears to objects in his or her environment. The reference of a file is determined (...)
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  • Ontological superpluralism.Ben Caplan - 2011 - Philosophical Perspectives 25 (1):79-114.
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  • Dummett on abstract objects.George Duke - 2012 - New York: Palgrave-Macmillan.
    This book offers an historically-informed critical assessment of Dummett's account of abstract objects, examining in detail some of the Fregean presuppositions whilst also engaging with recent work on the problem of abstract entities.
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  • CRITIQUE OF IMPURE REASON: Horizons of Possibility and Meaning.Steven James Bartlett - 2021 - Salem, USA: Studies in Theory and Behavior.
    PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...)
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  • The Epistemology of Thought Experiments: First Person versus Third Person Approaches.Kirk Ludwig - 2007 - Midwest Studies in Philosophy 31 (1):128-159.
    Recent third person approaches to thought experiments and conceptual analysis through the method of surveys are motivated by and motivate skepticism about the traditional first person method. I argue that such surveys give no good ground for skepticism, that they have some utility, but that they do not represent a fundamentally new way of doing philosophy, that they are liable to considerable methodological difficulties, and that they cannot be substituted for the first person method, since the a priori knowledge which (...)
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  • Frege's Theory of Sense and Reference: Some Exegetical Notes.Saul A. Kripke - 2008 - Theoria 74 (3):181-218.
    Frege's theory of indirect contexts and the shift of sense and reference in these contexts has puzzled many. What can the hierarchy of indirect senses, doubly indirect senses, and so on, be? Donald Davidson gave a well-known 'unlearnability' argument against Frege's theory. The present paper argues that the key to Frege's theory lies in the fact that whenever a reference is specified (even though many senses determine a single reference), it is specified in a particular way, so that giving a (...)
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  • Frege's Commitment to an Infinite Hierarchy of Senses.Daniel R. Boisvert & Christopher M. Lubbers - 2003 - Philosophical Papers 32 (1):31-64.
    Abstract Though it has been claimed that Frege's commitment to expressions in indirect contexts not having their customary senses commits him to an infinite number of semantic primitives, Terrence Parsons has argued that Frege's explicit commitments are compatible with a two-level theory of senses. In this paper, we argue Frege is committed to some principles Parsons has overlooked, and, from these and other principles to which Frege is committed, give a proof that he is indeed committed to an infinite number (...)
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  • Can Animals Judge?Hans-Johann Glock - 2010 - Dialectica 64 (1):11-33.
    This article discusses the problems which concepts pose for the attribution of thoughts to animals. It locates these problems within a range of other issues concerning animal minds (section 1), and presents a ‘lingualist master argument’ according to which one cannot entertain a thought without possessing its constituent concepts and cannot possess concepts without possessing language (section 2). The first premise is compelling if one accepts the building-block model of concepts as parts of wholes – propositions – and the idea (...)
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  • Quantification and Paradox.Edward Ferrier - 2018 - Dissertation, University of Massachusetts Amherst
    I argue that absolutism, the view that absolutely unrestricted quantification is possible, is to blame for both the paradoxes that arise in naive set theory and variants of these paradoxes that arise in plural logic and in semantics. The solution is restrictivism, the view that absolutely unrestricted quantification is not possible. -/- It is generally thought that absolutism is true and that restrictivism is not only false, but inexpressible. As a result, the paradoxes are blamed, not on illicit quantification, but (...)
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  • Transcendental Idealism Without Tears.Nicholas Stang - 2017 - In K. Pearce & T. Goldschmidt (eds.), Idealism: New Essays in Metaphysics. Oxford University Press. pp. 82-103.
    This essay is an attempt to explain Kantian transcendental idealism to contemporary metaphysicians and make clear its relevance to contemporary debates in what is now called ‘meta-metaphysics.’ It is not primarily an exegetical essay, but an attempt to translate some Kantian ideas into a contemporary idiom.
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  • Atomism and Semantics in the Philosophy of Jerrold Katz.Keith Begley - 2020 - In Ugo Zilioli (ed.), Atomism in Philosophy: A History from Antiquity to the Present. New York: Bloomsbury Academic. pp. 312-330.
    Jerrold J. Katz often explained his semantic theory by way of an analogy with physical atomism and an attendant analogy with chemistry. In this chapter, I track the origin and uses of these analogies by Katz, both in explaining and defending his decompositional semantic theory, through the various phases of his work throughout his career.
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  • Platonism in Lotze and Frege Between Psyschologism and Hypostasis.Nicholas Stang - 2018 - In Sandra Lapointe (ed.), Logic from Kant to Russell. New York: Routledge. pp. 138–159.
    In the section “Validity and Existence in Logik, Book III,” I explain Lotze’s famous distinction between existence and validity in Book III of Logik. In the following section, “Lotze’s Platonism,” I put this famous distinction in the context of Lotze’s attempt to distinguish his own position from hypostatic Platonism and consider one way of drawing the distinction: the hypostatic Platonist accepts that there are propositions, whereas Lotze rejects this. In the section “Two Perspectives on Frege’s Platonism,” I argue that this (...)
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  • Meaning and Truth-conditions.Richard Heck - 2007 - In Dirk Greimann & Geo Siegwart (eds.), Truth and Speech Acts: Studies in the Philosophy of Language. London: Routledge. pp. 349--76.
    Defends the view that understanding can be identified with knowledge of T-sentences against the classical criticisms of Foster and Soames.
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  • The Boundaries of the Mind.Katalin Farkas - 2018 - 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. pp. 256-279.
    The subject of mental processes or mental states is usually assumed to be an individual, and hence the boundaries of mental features – in a strict or metaphorical sense – are naturally regarded as reaching no further than the boundaries of the individual. This chapter addresses various philosophical developments in the 20th and 21st century that questioned this natural assumption. I will frame this discussion by fi rst presenting a historically infl uential commitment to the individualistic nature of the mental (...)
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  • Truth and Falsehood: An Inquiry Into Generalized Logical Values.Yaroslav Shramko & Heinrich Wansing - 2011 - Dordrecht, Netherland: Springer.
    The book presents a thoroughly elaborated logical theory of generalized truth-values understood as subsets of some established set of truth values. After elucidating the importance of the very notion of a truth value in logic and philosophy, we examine some possible ways of generalizing this notion. The useful four-valued logic of first-degree entailment by Nuel Belnap and the notion of a bilattice constitute the basis for further generalizations. By doing so we elaborate the idea of a multilattice, and most notably, (...)
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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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