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  1. Frege Plagiarized the Stoics.Susanne Bobzien - 2021 - In Fiona Leigh (ed.), Themes in Plato, Aristotle, and Hellenistic Philosophy, Keeling Lectures 2011-2018. University of Chicago Press. pp. 149-206.
    In this essay, I argue that Frege plagiarized the Stoics --and I mean exactly that-- on a large scale in his work on the philosophy of logic and language as written mainly between 1890 and his death in 1925 (much of which published posthumously) and possibly earlier. I use ‘plagiarize' (or 'plagiarise’) merely as a descriptive term. The essay is not concerned with finger pointing or casting moral judgement. The point is rather to demonstrate carefully by means of detailed evidence (...)
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  2. La Lógica de Gottlob Frege: 1879-1903.Joan Bertran-San Millán - 2016 - Dissertation, Universitat de Barcelona
    In this dissertation I offer a global and detailed reconstruction of the logic developed by Gottlob Frege throughout his career. Even though Frege's logic suffered profound modifications from his initial formulation in Begriffsschrift to its revised version in Grundgesetze, the significant differences between these two works have been rarely taken at face value. I not only argue that these differences exist, but I also explain how they should be understood in the light of the evolution of Frege's thought. First, I (...)
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  3. Begriff Und Gegenstand: Eine Historische Und Systematische Studie Zur Entwicklung von Gottlob Freges Denken.Wolfgang Kienzler - 2009 - Frankfurt a.M.: Klostermann.
    Diese Arbeit stellt Freges Denken in seiner Entwicklung von den Anfängen bis zum Auftreten des Widerspruch dar. Ausführlich behandelt sind die Begriffsschrift, die Erläuterungsschriften dazu, die Grundlagen der Arithmetik sowie die Texte im Übergang zu den Grundgesetzen der Arithmetik, ein- schließlich der klassischen Aufsätze Funktion und Begriff, Über Sinn und Bedeutung und Über Begriff und Gegenstand. Die Texte werden nach Chronologie und Stellung zueinander präzise aufgeschlüsselt; auch die zeitgenössischen Rezensionen und Freges wissenschaftliches Umfeld werden berücksichtigt. Freges Werk wird dadurch in (...)
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  4. Die Philosophische Logik Gottlob Freges.Wolfgang Künne - 2010 - Frankfurt am Main: Vittorio Klostermann.
    Dieses Buch enthält in einer historisch-kritischen Edition die Texte, die es in seinem Hauptteil kommentiert: Das Vorwort (1893) zu Gottlob Freges Hauptwerk, den "Grundgesetzen der Arithmetik", in dem er seine fulminante Psychologismus-Kritik vorträgt; die drei von Frege selbst veröffentlichten "Logischen Untersuchungen" (1918-1923), in denen er "die Ernte [s]eines Lebens heimbringen" wollte; und schließlich ein Fragment aus seinem Nachlass, das der Entwurf zu einer vierten LU ist.
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  5. Antipsychologismus beim frühen Frege und bei Kant.Dorothea Lotter - 2001 - In Ralph Schumacher, Rolf-Peter Horstmann & Volker Gerhardt (eds.), Kant Und Die Berliner Aufklärung: Akten des Ix. Internationalen Kant-Kongresses. Bd. I: Hauptvorträge. Bd. Ii: Sektionen I-V. Bd. Iii: Sektionen Vi-X: Bd. Iv: Sektionen Xi-Xiv. Bd. V: Sektionen Xv-Xviii. De Gruyter. pp. 543-552.
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  6. Gabbay & Woods, The Rise of Modern Logic: From Leibniz to Frege. [REVIEW]Joan Roselló Moya - 2009 - Theoria : An International Journal for Theory, History and Fundations of Science 24 (1):115-119.
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  7. Frege's Philosophy of Logic.Gary Neville Kemp - 1993 - Dissertation, University of California, Santa Barbara
    Gottlob Frege is the single most important figure in the development of modern mathematical logic, and is recognized as a founder of analytical philosophy. The primary aim of this work is to articulate the philosophical basis of Frege's logic and logical theory. I argue that the most general forces which animate Frege's work are neither Kantian, as is sometimes maintained, nor congenial to the semantical outlook on logic which has since Frege's time become standard. These forces are most conspicuous in (...)
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  8. STERNFELD, R. - "Frege's Logical Theory". [REVIEW]John Tucker - 1968 - Mind 77 (307):443-445.
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  9. Logique Et Philosophie Chez Frege.Jean Largeault - 1970 - Béatrice-Nauwelaerts.
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  10. Frege's Logic, Theorem, and Foundations for Arithmetic.Edward N. Zalta - 2010 - Stanford Encyclopedia of Philosophy.
    This entry explains Frege's Theorem by using the modern notation of the predicate calculus. Frege's Theorem is that the Dedekind-Peano axioms for number theory are derivable from Hume's Principle, given the axioms and rules of second-order logic. Frege's methodology for defining the natural numbers and for the derivation of the Dedekind-Peano axioms are sketched in some detail.
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  11. Book Review:Frege's Logical Theory Robert Sternfeld. [REVIEW]Michael David Resnik - 1967 - Philosophy of Science 34 (2):201-202.
  12. Review of D. Macbeth, Frege's Logic[REVIEW]Dale Jacquette - 2006 - Canadian Journal of Philosophy 36 (4):609-631.
  13. Gottlob Frege and the Interplay Between Logic and Mathematics.Christian Thiel - 2009 - In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press. pp. 196--202.
    This chapter explores Gottlob Frege's contribution to logic. Frege has been called the greatest logician since Aristotle, but he failed to gain influence on the mathematical community of his time and the depth and pioneering character of his work was acknowledged only after the collapse of his logicist program due to the Zermelo–Russell antinomy in 1902. Frege, by proving his theorem χ without recourse to Wertverläufe, exhibited an inconsistency in the traditional notion of the extension of a concept. He prompted (...)
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  14. Frege's Logical Theory.Robert Sternfeld - 1966 - Carbondale: Southern Illinois University Press.
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  15. Gottlob Frege and the Interplay Between Logic and Mathematics.Christian Thiel - 2008 - In Leila Haaparanta (ed.), The Development of Modern Logic. Oxford University Press.
    This chapter explores Gottlob Frege's contribution to logic. Frege has been called the greatest logician since Aristotle, but he failed to gain influence on the mathematical community of his time and the depth and pioneering character of his work was acknowledged only after the collapse of his logicist program due to the Zermelo–Russell antinomy in 1902. Frege, by proving his theorem χ without recourse to Wertverläufe, exhibited an inconsistency (or at least an incoherence) in the traditional notion of the extension (...)
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  16. The Foundations of Frege’s Logic.Pavel Tichý - 1988 - De Gruyter.
    Chapter One: Constructions. Entities, constructions, and functions When one travels from Los Angeles to New York, going, say, by way of St. Louis, Chicago, ...
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  17. Frege's Logic, Theorem, and Foundations for Arithmetic.Edward N. Zalta - 2008 - Stanford Encyclopedia of Philosophy.
    In this entry, Frege's logic is introduced and described in some detail. It is shown how the Dedekind-Peano axioms for number theory can be derived from a consistent fragment of Frege's logic, with Hume's Principle replacing Basic Law V.
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Frege: Conception of Logic
  1. Are Rules of Inference Superfluous? Wittgenstein Vs. Frege and Russell.Gilad Nir - 2021 - Teorema: International Journal of Philosophy 40 (2):45-61.
    In Tractatus 5.132 Wittgenstein argues that inferential justification depends solely on the understanding of the premises and conclusion, and is not mediated by any further act. On this basis he argues that Frege’s and Russell’s rules of inference are “senseless” and “superfluous”. This line of argument is puzzling, since it is unclear that there could be any viable account of inference according to which no such mediation takes place. I show that Wittgenstein’s rejection of rules of inference can be motivated (...)
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  2. Sense, Reference, and Computation.Bruno Bentzen - 2020 - Perspectiva Filosófica 47 (2):179-203.
    In this paper, I revisit Frege's theory of sense and reference in the constructive setting of the meaning explanations of type theory, extending and sharpening a program–value analysis of sense and reference proposed by Martin-Löf building on previous work of Dummett. I propose a computational identity criterion for senses and argue that it validates what I see as the most plausible interpretation of Frege's equipollence principle for both sentences and singular terms. Before doing so, I examine Frege's implementation of his (...)
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  3. Kant, Frege, and the Normativity of Logic: MacFarlane 's Argument for Common Ground.Tyke Nunez - forthcoming - European Journal of Philosophy.
    According to what was the standard view (Poincaré; Wang, etc.), although Frege endorses, and Kant denies, the claim that arithmetic is reducible to logic, there is not a substantive disagreement between them because their conceptions of logic are too different. In his “Frege, Kant, and the logic in logicism,” John MacFarlane aims to establish that Frege and Kant do share enough of a conception of logic for this to be a substantive, adjudicable dispute. MacFarlane maintains that for both Frege and (...)
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  4. Extensions, Numbers and Frege’s Project of Logic as Universal Language.Nora Grigore - 2020 - Axiomathes 30 (5):577-588.
    Frege’s famous definition of number famously uses the concept of “extension”. Extensions, in the Fregean framework, are susceptible to bringing many difficulties, and, some say, even paradoxes. Therefore, neo-logicist programs want to avoid the problems and to replace the classical Fregean definition of number with Hume’s Principle. I argue that this move, even if it makes sense from a computational point of view, is at odds with Frege’s larger philosophical project. For Frege, I claim, extensions were an important part of (...)
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  5. Extensions, Numbers and Frege’s Project of Logic as Universal Language.Nora Grigore - 2020 - Axiomathes 30 (5):577-588.
    Frege’s famous definition of number famously uses the concept of “extension”. Extensions, in the Fregean framework, are susceptible to bringing many difficulties, and, some say, even paradoxes. Therefore, neo-logicist programs want to avoid the problems and to replace the classical Fregean definition of number with Hume’s Principle. I argue that this move, even if it makes sense from a computational point of view, is at odds with Frege’s larger philosophical project. For Frege, I claim, extensions were an important part of (...)
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  6. Frege, the Normativity of Logic, and the Kantian Tradition.Anssi Korhonen - 2018 - In Gisela Bengtsson, Simo Säätelä & Alois Pichler (eds.), New Essays on Frege: Between Science and Literature. Springer. pp. 47-74.
    This paper considers the role of constitutivity and normativity in Frege’s conception of logic. It outlines an historical interpretation with two goals. First, it traces these concepts back to their origins in Kant’s philosophy. Second, it considers some of the different ways in which the issue of normativity and its proper grounding was addressed in the neo-Kantian tradition and in early analytic philosophy. Some neo-Kantians worked out an epistemic-normative conception of objective judgment, according to which the objectivity of cognition is (...)
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  7. On Different Ways of Being Equal.Bruno Bentzen - forthcoming - Erkenntnis:1-22.
    The aim of this paper is to present a constructive solution to Frege's puzzle (largely limited to the mathematical context) based on type theory. Two ways in which an equality statement may be said to have cognitive significance are distinguished. One concerns the mode of presentation of the equality, the other its mode of proof. Frege's distinction between sense and reference, which emphasizes the former aspect, cannot adequately explain the cognitive significance of equality statements unless a clear identity criterion for (...)
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  8. Freges Begriff der Logik.Tabea Rohr - 2019 - Paderborn: mentis.
    Frege ist bekannt für seinen Versuch, die Arithmetik aus der Logik herzuleiten. Doch welcher Begriff von Logik liegt diesem Projekt zugrunde? Wenn Logik die Grundlage der Arithmetik ist und die Arithmetik über Inhalte verfestigt, so muss die Logik selbst eine Wissenschaft mit eigenen Inhalten sein. Die Autorin zeigt, wie Frege logische Zeichen zu eigenständigen Begriffen aufwertet und dadurch eine inhaltliche Logikkonzeption überhaupt erst ermöglicht. In einem weiteren Schritt wird ein Kriterium vorgestellt, mit dessen Hilfe Frege logische Inhalte von den Inhalten (...)
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  9. Logic as Science.Robert May - 2018 - In Annalisa Coliva, Paolo Leonardi & Sebastiano Moruzzi (eds.), Eva Picardi on Language, Analysis, and History. Cham: Palgrave MacMillan. pp. 113-160.
  10. Frege's Conception of Logic.Warren Goldfarb - 2001 - In Juliet Floyd (ed.), Future Pasts: The Analytic Tradition in Twentieth-Century Philosophy. Oxford: Oxford University Press. pp. 25-41.
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  11. Frege on the Generality of Logical Laws.Jim Hutchinson - 2020 - European Journal of Philosophy (2):1-18.
    Frege claims that the laws of logic are characterized by their “generality,” but it is hard to see how this could identify a special feature of those laws. I argue that we must understand this talk of generality in normative terms, but that what Frege says provides a normative demarcation of the logical laws only once we connect it with his thinking about truth and science. He means to be identifying the laws of logic as those that appear in every (...)
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  12. 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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  13. Frege and Carnap on the Normativity of Logic.Florian Steinberger - 2017 - Synthese 194 (1):143-162.
    In this paper I examine the question of logic’s normative status in the light of Carnap’s Principle of Tolerance. I begin by contrasting Carnap’s conception of the normativity of logic with that of his teacher, Frege. I identify two core features of Frege’s position: first, the normative force of the logical laws is grounded in their descriptive adequacy; second, norms implied by logic are constitutive for thinking as such. While Carnap breaks with Frege’s absolutism about logic and hence with the (...)
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  14. The Primacy of Concepts and the Priority of Judgments in Frege's Logic.Marco Ruffino - 1998 - Grazer Philosophische Studien 56 (1):73-90.
    The paper presents a historical account of the primacy of concepts in Frege's conception of logic. Moreover, it argues that Frege's priority-thesis does not imply that sentential logic is more basic than the logic of concepts in his thought.
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  15. Frege’s Logic. [REVIEW]Dale Jacquette - 2006 - Canadian Journal of Philosophy 36 (4):609-631.
    This is an engaging, controversial, and refreshingly well-written book about Frege’s logic from the Begriffsschrift to the Grundgesetze. Danielle Macbeth explains Frege’s complicated two-dimensional logical notation more patiently, accurately, and with a greater variety of examples than I have previously seen. She does so, moreover, not merely by relating Frege’s innovations to the linear Principia Mathematica style logical symbolism that most logicians these days take for granted, but by delving into the deeper reasons why Frege choose to represent logical relations (...)
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  16. Comments on Patricial Blanchette's Book: Frege's Conception of Logic. [REVIEW]Roy T. Cook - 2015 - Journal for the History of Analytical Philosophy 3 (7).
    All contributions included in the present issue were originally presented at an ‘Author Meets Critics’ session organised by Richard Zach at the Pacific Meeting of the American Philosophical Association in San Diego in the Spring of 2014.
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  17. Critical Remarks on Frege’s Conception of Logic by Patricia Blanchette. [REVIEW]Kai F. Wehmeier - 2015 - Journal for the History of Analytical Philosophy 3 (7).
    All contributions included in the present issue were originally presented at an ‘Author Meets Critics’ session organised by Richard Zach at the Pacific Meeting of the American Philosophical Association in San Diego in the Spring of 2014.
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  18. Frege on the Normativity and Constitutivity of Logic for Thought II.Daniele Mezzadri - 2015 - Philosophy Compass 10 (9):592-600.
    This two-part paper reviews a scholarly debate on an alleged tension in Frege's philosophy of logic. In Section 1 of Part I, I discuss Frege's view that logic is concerned with establishing norms for correct thinking and is therefore a normative science. In Section 2, I explore a different understanding of the role of logic that Frege seems to advance: logic is constitutive of the very possibility of thought, because it sets forth necessary conditions for thought. Hence, the tension the (...)
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  19. Frege on the Normativity and Constitutivity of Logic for Thought I.Daniele Mezzadri - 2015 - Philosophy Compass 10 (9):583-591.
    This two-part paper reviews a scholarly debate on an alleged tension in Frege ’s philosophy of logic. In Section 1 of Part I, I discuss Frege ’s view that logic is concerned with establishing norms for correct thinking and is therefore a normative science. In Section 2, I explore a different understanding of the role of logic that Frege seems to advance: logic is constitutive of the very possibility of thought, because it sets forth necessary conditions for thought. Hence, the (...)
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  20. Frege’s Conception of Logic by Patricia A. Blanchette. [REVIEW]Danielle Macbeth - 2014 - Journal of the History of Philosophy 52 (1):176-177.
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  21. Frege and the Idea of Formal Language.Taskashi Iida - 2003 - Annals of the Japan Association for Philosophy of Science 12 (1):15-23.
  22. Frege's Early Conception of Logic.G. Bar-Elli - 1985 - Epistemologia 8 (1):125-40.
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  23. D. Macbeth, Frege's Logic. [REVIEW]N. B. Goethe - 2006 - Bulletin of Symbolic Logic 12 (3):496-498.
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  24. Patricia A. Blanchette. Frege's Conception of Logic. Oxford University Press, 2012. ISBN 978-0-19-926925-9 (Hbk). Pp. Xv + 256. [REVIEW]Roy T. Cook - 2013 - Philosophia Mathematica (1):nkt029.
  25. Frege's Logic.Peter M. Sullivan - 2004 - In Dov M. Gabbay, John Woods & Akihiro Kanamori (eds.), Handbook of the History of Logic. Elsevier. pp. 659-750.
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  26. Frege's Conception of Logic.Patricia A. Blanchette - 2012 - Oup Usa.
    In Frege's Conception of Logic Patricia A. Blanchette explores the relationship between Gottlob Frege's understanding of conceptual analysis and his understanding of logic.
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  27. Review of “Frege's Logic”. [REVIEW]A. M. Ungar - 2008 - Essays in Philosophy 9 (2):1.
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  28. Frege's Conception of Logic. [REVIEW]Wolfgang Kienzler - 2013 - History and Philosophy of Logic 34 (4):396 - 399.
  29. Frege's Approach to the Foundations of Analysis (1874–1903).Matthias Schirn - 2013 - History and Philosophy of Logic 34 (3):266-292.
    The concept of quantity (Größe) plays a key role in Frege's theory of real numbers. Typically enough, he refers to this theory as ?theory of quantity? (?Größenlehre?) in the second volume of his opus magnum Grundgesetze der Arithmetik (Frege 1903). In this essay, I deal, in a critical way, with Frege's treatment of the concept of quantity and his approach to analysis from the beginning of his academic career until Frege 1903. I begin with a few introductory remarks. In Section (...)
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  30. Frege’s Logic. [REVIEW]Dale Jacquette - 2006 - Canadian Journal of Philosophy 36 (4):609-631.
    This is an engaging, controversial, and refreshingly well-written book about Frege’s logic from the Begriffsschrift to the Grundgesetze. Danielle Macbeth explains Frege’s complicated two-dimensional logical notation more patiently, accurately, and with a greater variety of examples than I have previously seen. She does so, moreover, not merely by relating Frege’s innovations to the linear Principia Mathematica style logical symbolism that most logicians these days take for granted, but by delving into the deeper reasons why Frege choose to represent logical relations (...)
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  31. The Primacy of Concepts and the Priority of Judgments in Frege's Logic.Marco Ruffino - 1998 - Grazer Philosophische Studien 56 (1):73-90.
    The paper presents a historical account of the primacy of concepts in Frege's conception of logic. Moreover, it argues that Frege's priority-thesis (i.e., the assumption that judgeable contents are prior to concepts) does not imply that sentential logic is more basic than the logic of concepts in his thought.
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  32. Language and Logic in Wittgenstein's Tractatus Logico-Philosophicus.Daniele Mezzadri - 2010 - Dissertation, University of Stirling
    This thesis discusses some central aspects of Wittgenstein's conception of language and logic in his Tractatus Logico-Philosophicus and brings them into relation with the philosophies of Frege and Russell. The main contention is that a fruitful way of understanding the Tractatus is to see it as responding to tensions in Frege's conception of logic and Russell's theory of judgement. In the thesis the philosophy of the Tractatus is presented as developing from these two strands of criticism and thus as the (...)
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  33. Metatheory and Mathematical Practice in Frege.Jamie Tappenden - 2005 - In Michael Beaney & Erich H. Reck (eds.), Gottlob Frege: Critical assessments of leading philosophers, Vol. II. New York: pp. 190-228.
    A cluster of recent papers on Frege have urged variations on the themethat Frege’s conception of logic is in some crucial way incompatible with‘metatheoretic’ investigation. From this observation, significant consequencesfor our interpretation of Frege’s understanding of his enterprise are taken tofollow. This chapter aims to critically examine this view, and to isolate whatI take to be the core of truth in it. However, I will also argue that once wehave isolated the defensible kernel, the sense in which Frege was committedto (...)
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