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47Russell and the Ontological ArgumentRussell: The Journal of Bertrand Russell Studies 29 (2): 101-128. 2009.Abstract:It is well known that in Principia Mathematica Russell offers a theory of definite descriptions and holds that ‘existence’ is not a property. It is less well known that in “On Denoting” he discusses the version of Anselm’s ontological argument for God formulated by Descartes, accepting the premiss “Existence is a perfection” and assessing the argument as valid but question-begging. This is different from his later comments in A History of Western Philosophy which find the argument inval…Read more
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55Erich H. Reck and Steve Awodey, trans. and ed., Frege's Lectures on Logic: Carnap's Student Notes, 1910–1914. Publications of the Archive of Scientific Philosophy, Hillman Library, University of Pittsburgh. LaSalle, Illinois: Open Court, 2004. Pp. xiv + 170. ISBN 0-8126-9546-1 (cloth), 0-8126-9553-4 (paper) (review)Philosophia Mathematica 13 (2): 225-227. 2005.
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8Methodological CartesianismIn Guido Bonino, Greg Jesson & Javier Cumpa (eds.), Defending Realism: Ontological and Epistemological Investigations, De Gruyter. pp. 63-98. 2014.
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28Frege's Notations: What They Are and How They MeanPalgrave-Macmillan. 2011.Gregory Landini offers a detailed historical account of Frege's notations and the philosophical views that led Frege from Begriffssscrhrift to his mature work Grundgesetze, addressing controversial issues that surround the notations.
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46Wittgenstein's Apprenticeship with RussellCambridge University Press. 2007.Wittgenstein's Tractatus has generated many interpretations since its publication in 1921, but over the years a consensus has developed concerning its criticisms of Russell's philosophy. In Wittgenstein's Apprenticeship with Russell, Gregory Landini draws extensively from his work on Russell's unpublished manuscripts to show that the consensus characterises Russell with positions he did not hold. Using a careful analysis of Wittgenstein's writings he traces the 'Doctrine of Showing' and the 'fun…Read more
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20Beyond Analytic Philosophy (review)Review of Metaphysics 42 (3): 642-643. 1989.This book offers a thought-provoking critique of analytic philosophy focusing on four central figures--Russell, Wittgenstein, Carnap, and Quine. In Wang's view, what lies "beyond" analytic philosophy is the abandonment of Empiricist accounts of how we know and epistemological limitations on what can be known. In making the foundations of science the center of "legitimate" philosophy, Analytic Empiricism has blocked important global perspectives found, for example, in continental and oriental phi…Read more
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29Russell to Frege, 24 May 1903: "I Believe That I Have Discovered That Classes Are Completely Superfluous"Russell: The Journal of Bertrand Russell Studies 12 (2): 160-185. 1992.In lieu of an abstract, here is a brief excerpt of the content:RUSSELL TO FREGE, 24 MAY 1903: "I BELIEVE I HAVE DISCOVERED THAT CLASSES ARE ENTIRELY SUPERFLUOUS" GREGORY LANDINI Philosophy / University of Iowa Iowa City, IA 52242, USA It was his consideration of Cantor's proof that there is no greatest cardinal, Russell recalls in My Philosophical Development, that led in the spring of 1901 to the discovery of the paradox of the class of all classes not members of themselves. "Never glad confide…Read more
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56Logic in Russell's Principles of MathematicsNotre Dame Journal of Formal Logic 37 (4): 554-584. 1996.Unaware of Frege's 1879 Begriffsschrift, Russell's 1903 The Principles of Mathematics set out a calculus for logic whose foundation was the doctrine that any such calculus must adopt only one style of variables–entity (individual) variables. The idea was that logic is a universal and all-encompassing science, applying alike to whatever there is–propositions, universals, classes, concrete particulars. Unfortunately, Russell's early calculus has appeared archaic if not completely obscure. This pap…Read more
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Russell's definite descriptions de reIn Nicholas Griffin & Dale Jacquette (eds.), Russell Vs. Meinong: The Legacy of "on Denoting", Routledge. 2009.
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23On russell’s metaphysics of timeIn Giovanni Macchia, Francesco Orilia & Vincenzo Fano (eds.), Space and Time: A Priori and a Posteriori Studies, De Gruyter. pp. 7-42. 2014.
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16Wittgenstein's Tractarian ApprenticeshipRussell: The Journal of Bertrand Russell Studies 23 (2). 2003.The years since the publication of Wittgenstein's Tractatus have produced a good many interpretations of its central tenets. Time has produced something of a consensus concerning the nature of the Tractarian criticisms of Russell's philosophy. Recent work on Russell's philosophy of logic reveals, however, that the agreed account of Tractarian criticisms relies upon characterizing Russell with positions he did not hold.
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33Fictions Are All in the MindRevue Internationale de Philosophie 262 (4): 593-614. 2012.Poetic license is an essential feature of intentionality. The mind is free to think about any objects, even objects with logically incompatible properties. Some philosophers maintain that a theory that embraces an ontology of objects of thought is indispensable to any account of the nature of intentionality. Any such theory, however, must face paradoxes whose solutions conflict with poetic license. In this paper, I propose a theory which rejects the argument from indispensability. The theory mai…Read more
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31The Evolution of Principia Mathematica; Bertrand Russell's Manuscripts and Notes for the Second EditionHistory and Philosophy of Logic 34 (1): 79-97. 2013.Bernard Linsky, The Evolution of Principia Mathematica; Bertrand Russell's Manuscripts and Notes for the Second Edition. Cambridge: Cambridge University Press. 2011. 407 pp. + two plates. $150.00/£...
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57Russell's Schema, Not Priest's InclosureHistory and Philosophy of Logic 30 (2): 105-139. 2009.On investigating a theorem that Russell used in discussing paradoxes of classes, Graham Priest distills a schema and then extends it to form an Inclosure Schema, which he argues is the common structure underlying both class-theoretical paradoxes (such as that of Russell, Cantor, Burali-Forti) and the paradoxes of ?definability? (offered by Richard, König-Dixon and Berry). This article shows that Russell's theorem is not Priest's schema and questions the application of Priest's Inclosure Schema t…Read more
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Report on the 3rd Early Analytic Philosophy ConferenceThe Bertrand Russell Society Quarterly 122. 2004.
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3Raymond Bradley, The Nature of All Being: A Study of Wittgenstein's Modal Atomism Reviewed byPhilosophy in Review 13 (6): 283-285. 1993.
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112A new interpretation of russell's multiple-relation theory of judgmentHistory and Philosophy of Logic 12 (1): 37-69. 1991.This paper offers an interpretation of Russell's multiple-relation theory of judgment which characterizes it as direct application of the 1905 theory of definite descriptions. The paper maintains that it was by regarding propositional symbols (when occurring as subordinate clauses) as disguised descriptions of complexes, that Russell generated the philosophical explanation of the hierarchy of orders and the ramified theory of types of _Principia mathematica (1910). The interpretation provides a …Read more
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42Michael Potter Tom Ricketts, eds. The cambridge companion to Frege. Cambridge: Cambridge university press, 2010. Isbn 978-0-521-62479-4. Pp. XVII+639 (review)Philosophia Mathematica 20 (3): 372-387. 2012.
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57Gregory Landini. Zermelo and Russell’s Paradox: Is There a Universal Set?: Correction NoticePhilosophia Mathematica 22 (1): 142-142. 2014.
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40Whitehead's (Badly) Emended PrincipiaHistory and Philosophy of Logic 37 (2): 114-169. 2016.There are many wonderful puzzles concerning Principia Mathematica, but none are more striking than those arising from the crisis that befell Whitehead in November of 1910. Volume 1 appeared in December of 1910. Volume 2 on cardinal numbers and Russell's relation arithmetic might have appeared in 1911 but for Whitehead's having halted the printing. He discovered that inferences involving the typically ambiguous notation ‘Nc‘α’ for the cardinal number of α might generate fallacies. When the volume…Read more
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90Cocchiarella’s Formal Ontology and the Paradoxes of HyperintensionalityAxiomathes 19 (2): 115-142. 2009.This is a critical discussion of Nino B. Cocchiarella’s book “Formal Ontology and Conceptual Realism.” It focuses on paradoxes of hyperintensionality that may arise in formal systems of intensional logic.
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48Putnam's model-theoretic argument, natural realism, and the standard conception of theoriesPhilosophical Papers 16 (3): 209-233. 1987.No abstract
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47Russellian Facts About the SlingshotAxiomathes 24 (4): 533-547. 2014.The so-called “Slingshot” argument purports to show that an ontology of facts is untenable. In this paper, we address a minimal slingshot restricted to an ontology of physical facts as truth-makers for empirical physical statements. Accepting that logical matters have no bearing on the physical facts that are truth-makers for empirical physical statements and that objects are themselves constituents of such facts, our minimal slingshot argument purportedly shows that any two physical statements …Read more
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13Pierre Joray (ed.), Contemporary perspectives on logicism and the foundation of mathematics. Switzerland: Centre de recherches semiologiques universite de neuchaˆtel, 2007. VI þ 208 pp. issn 1420-8520, no. 18 (review)History and Philosophy of Logic 29 (4): 383. 2008.
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31Logic as a Universal Science: Russell's Early Logicism and Its Philosophical ContextPhilosophical Quarterly 64 (255): 361-364. 2014.
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20Yablo’s Paradox and Russellian PropositionsRussell: The Journal of Bertrand Russell Studies 28 (2): 127-142. 2008.In lieu of an abstract, here is a brief excerpt of the content:January 22, 2009 (8:41 pm) G:\WPData\TYPE2802\russell 28,2 048red.wpd russell: the Journal of Bertrand Russell Studies n.s. 28 (winter 2008–09): 127–42 The Bertrand Russell Research Centre, McMaster U. issn 0036-01631; online 1913-8032 YABLO’S PARADOX AND RUSSELLIAN PROPOSITIONS Gregory Landini Philosophy / U. of Iowa Iowa City, ia 52242–1408, usa [email protected] Is self-reference necessary for the production of Liar parado…Read more
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95Frege’s Cardinals as Concept-correlatesErkenntnis 65 (2): 207-243. 2006.In his "Grundgesetze", Frege hints that prior to his theory that cardinal numbers are objects he had an "almost completed" manuscript on cardinals. Taking this early theory to have been an account of cardinals as second-level functions, this paper works out the significance of the fact that Frege's cardinal numbers is a theory of concept-correlates. Frege held that, where n > 2, there is a one—one correlation between each n-level function and an n—1 level function, and a one—one correlation betw…Read more
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39Typos of Principia MathematicaHistory and Philosophy of Logic 34 (4). 2013.Principia Mathematic goes to great lengths to hide its order/type indices and to make it appear as if its incomplete symbols behave as if they are singular terms. But well-hidden as they are, we cannot understand the proofs in Principia unless we bring them into focus. When we do, some rather surprising results emerge ? which is the subject of this paper
Areas of Specialization
Philosophy of Mind |
Logic and Philosophy of Logic |
Philosophy of Mathematics |
Areas of Interest
Philosophy of Mind |
Logic and Philosophy of Logic |
Philosophy of Mathematics |