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67Russell's hidden substitutional theoryOxford University Press. 1998.This book explores an important central thread that unifies Russell's thoughts on logic in two works previously considered at odds with each other, the Principles of Mathematics and the later Principia Mathematica. This thread is Russell's doctrine that logic is an absolutely general science and that any calculus for it must embrace wholly unrestricted variables. The heart of Landini's book is a careful analysis of Russell's largely unpublished "substitutional" theory. On Landini's showing, the …Read more
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32Quantification Theory in *9 of Principia MathematicaHistory and Philosophy of Logic 21 (1): 57-77. 2000.This paper examines the quantification theory of *9 of Principia Mathematica. The focus of the discussion is not the philosophical role that section *9 plays in Principia's full ramified type-theory. Rather, the paper assesses the system of *9 as a quantificational theory for the ordinary predicate calculus. The quantifier-free part of the system of *9 is examined and some misunderstandings of it are corrected. A flaw in the system of *9 is discovered, but it is shown that with a minor repair th…Read more
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46Russell 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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7Methodological CartesianismIn Javier Cumpa, Greg Jesson & Guido Bonino (eds.), Defending Realism: Ontological and Epistemological Investigations, De Gruyter. pp. 63-98. 2014.
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45Wittgenstein'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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25Frege'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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26Russell 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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19Beyond 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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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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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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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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15Wittgenstein'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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30The 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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31Fictions 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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Report on the 3rd Early Analytic Philosophy ConferenceThe Bertrand Russell Society Quarterly 122. 2004.
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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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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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105A 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.
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 |