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The Interpretation of Fregeʼs Philosophy

Cambridge: Harvard University Press (1980)

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  1. Tropes, Bare Demonstratives, and Apparent Statements of Identity.Friederike Moltmann - 2011 - Noûs 47 (2):346-370.
    Philosophers who accept tropes generally agree that tropes act as the objects of reference of nominalizations of adjectives, such as 'Socrates’ wisdom' or 'the beauty of the landscape'. This paper argues that tropes play a further important role in the semantics of natural language, namely in the semantics of bare demonstratives like 'this' and 'that' in what in linguistics is called identificational sentences.
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  • Identificational Sentences.Friederike Moltmann - 2013 - Natural Language Semantics 21 (1):43-77.
    Based on the notion of a trope, this paper gives a novel analysis of identificational sentences such as 'this is Mary','this is a beautiful woman', 'this looks like Mary', or 'this is the same lump of clay, but not the same statue as that'.
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  • The relevance of Husserl today.J. N. Mohanty - 1988 - Husserl Studies 5 (3):219-233.
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  • Intentionality, causality and holism.J. N. Mohanty - 1984 - Synthese 61 (1):17 - 33.
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  • The Joint Philosophical Program of Russell and Wittgenstein and Its Demise.Nikolay Milkov - 2013 - Nordic Wittgenstein Review 2 (1):81-105.
    Between April and November 1912, Bertrand Russell and Ludwig Wittgenstein were engaged in a joint philosophical program. Wittgenstein‘s meeting with Gottlob Frege in December 1912 led, however, to its dissolution – the joint program was abandoned. Section 2 of this paper outlines the key points of that program, identifying what Russell and Wittgenstein each contributed to it. The third section determines precisely those features of their collaborative work that Frege criticized. Finally, building upon the evidence developed in the preceding two (...)
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  • Russell's completeness proof.Peter Milne - 2008 - History and Philosophy of Logic 29 (1):31-62.
    Bertrand Russell’s 1906 article ‘The Theory of Implication’ contains an algebraic weak completeness proof for classical propositional logic. Russell did not present it as such. We give an exposition of the proof and investigate Russell’s view of what he was about, whether he could have appreciated the proof for what it is, and why there is no parallel of the proof in Principia Mathematica.
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  • Frege in context. [REVIEW]Nikolay Milkov - 2001 - British Journal for the History of Philosophy 9 (3):557 – 570.
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  • Frege, informative identities, and logicism.Peter Milne - 1989 - British Journal for the Philosophy of Science 40 (2):155-166.
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  • Formality of logic and Frege’s Begriffsschrift.Daniele Mezzadri - 2019 - Canadian Journal of Philosophy 49 (2):182-207.
    This paper challenges a standard interpretation according to which Frege’s conception of logic (early and late) is at odds with the contemporary one, because on the latter’s view logic is formal, while on Frege’s view it is not, given that logic’s subject matter is reality’s most general features. I argue that Frege – in Begriffsschrift – retained the idea that logic is formal; Frege sees logic as providing the ‘logical cement’ that ties up together the contentful concepts of specific sciences, (...)
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  • The philosophy of logical wholism.David Charles Mccarty - 1991 - Synthese 87 (1):51 - 123.
    The present paper is one installment in a lengthy task, the replacement of atomistic interpretations of Wittgenstein's Tractatus by a wholistic interpretation on which the world-in-logical-space is not constructed out of objects but objects are abstracted from out of that space. Here, general arguments against atomism are directed toward a specific target, the four aspects of the atomistic reading of Tractatus given in the Hintikkas' Investigating Wittgenstein (Hintikka & Hintikka 1986). The aspects in question are called the semantical, metaphysical, epistemological (...)
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  • The definition of endurance.Storrs McCall & E. J. Lowe - 2009 - Analysis 69 (2):277-280.
    David Lewis, following in the tradition of Broad, Quine and Goodman, says that change in an object X consists in X's being temporally extended and having qualitatively different temporal parts. Analogously, change in a spatially extended object such as a road consists in its having different spatial parts . The alternative to this view is that ordinary objects undergo temporal change in virtue of having different intrinsic non-relational properties at different times. They endure, remaining the same object throughout change, whereas (...)
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  • Making Sense of 'On Denoting'.Gideon Makin - 1995 - Synthese 102 (3):383 - 412.
    The widely held assumption about what motivated On Denoting is irreconcilable with Russell's position shortly beforehand; but discarding it leaves one with a carefully worked out solution whose problem is missing. The real motivation is to be found in a notoriously obscure passage in OD, in which Russell exposes a decisive (though easily overlooked) flaw in his former theory of denoting; a flaw which also cripples Frege's theory of sense and reference. A comprehensive account of this passage is the chief (...)
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  • Frege’s Distinction Between Sense and Reference.Gideon Makin - 2010 - Philosophy Compass 5 (2):147-163.
    The article presents Frege's distinction between Sense and Reference. After a short introduction, it explains the puzzle which gave rise to the distinction; Frege's earlier solution, and his reasons for its later repudiation. The distinction, which embodies Frege's second solution, is then discussed in two phases. The first, which is restricted to proper names, sets out its most basic features. The second discusses 'empty' names; indirect speech, and the distinction for predicates and for complete sentences. Finally, two criticisms, by Russell (...)
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  • Speaking with Shadows: A Study of Neo‐Logicism.Fraser MacBride - 2003 - British Journal for the Philosophy of Science 54 (1):103-163.
    According to the species of neo-logicism advanced by Hale and Wright, mathematical knowledge is essentially logical knowledge. Their view is found to be best understood as a set of related though independent theses: (1) neo-fregeanism-a general conception of the relation between language and reality; (2) the method of abstraction-a particular method for introducing concepts into language; (3) the scope of logic-second-order logic is logic. The criticisms of Boolos, Dummett, Field and Quine (amongst others) of these theses are explicated and assessed. (...)
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  • Logical constants.John MacFarlane - 2008 - Mind.
    Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...)
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  • The Status of Value-ranges in the Argument of Basic Laws of Arithmetic I §10.Thomas Lockhart - 2017 - History and Philosophy of Logic 38 (4):345-363.
    Frege's concern in GGI §10 is neither with the epistemological issue of how we come to know about value-ranges, nor with the semantic-metaphysical issue of whether we have said enough about such objects in order to ensure that any kind of reference to them is possible. The problem which occupies Frege in GGI §10 is the general problem according to which we ‘cannot yet decide’, for any arbitrary function, what value ‘’ has if ‘ℵ’ is a canonical value-range name. This (...)
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  • 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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  • 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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  • Salmon on Fregean approaches to the paradox of analysis.Gary Kemp - 1995 - Philosophical Studies 78 (2):153 - 162.
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  • 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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  • Frege and psychologism.Jonathan Cohen - 1998 - Philosophical Papers 27 (1):45-67.
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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.
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  • Where do the natural numbers come from?Harold T. Hodes - 1990 - Synthese 84 (3):347-407.
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  • 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.
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  • 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.
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  • 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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