
19Russell's substitutional theory of classes and relationsHistory and Philosophy of Logic 8 (2): 171200. 1987.This paper examines Russell's substitutional theory of classes and relations, and its influence on the development of the theory of logical types between the years 1906 and the publication of Principia Mathematica (volume I) in 1910. The substitutional theory proves to have been much more influential on Russell's writings than has been hitherto thought. After a brief introduction, the paper traces Russell's published works on typetheory up to Principia. Each is interpreted as presenting a versi…Read more

18Whitehead's Emended PrincipiaHistory and Philosophy of Logic 37 (2): 114169. 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

18Book review: Francisco A. RodriguezConsuegra. The mathematical philosophy of Bertrand Russell: Origins and development (review)Notre Dame Journal of Formal Logic 33 (4): 604610. 1992.

18New Evidence concerning Russell's Substitutional Theory of ClassesRussell: The Journal of Bertrand Russell Studies 9 (1): 26. 1989.

18Russell's Separation of the Logical and Semantic ParadoxesRevue Internationale de Philosophie 3 257294. 2004.

17Quantification Theory in *9 of Principia MathematicaHistory and Philosophy of Logic 21 (1): 5777. 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 typetheory. Rather, the paper assesses the system of *9 as a quantificational theory for the ordinary predicate calculus. The quantifierfree 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

17Meinong and Russell: Some Lessons on QuantificationAxiomathes 27 (5): 455474. 2017.This paper explores the thesis that de re quantification into propositional attitudes has been wrongly conceived. One must never bind an individual variable in the context of a propositional attitude. Such quantification fails to respect the quantificational scaffolding of discursive thinking. This is the lesson of the Meinong–Russell debate over whether there are objects of thought about which it is true to say they are not. Respecting it helps to see how to solve contingent Liar paradoxes of p…Read more

16The Evolution of Principia Mathematica; Bertrand Russell's Manuscripts and Notes for the Second EditionHistory and Philosophy of Logic 34 (1): 7997. 2013.

15Beyond Analytic Philosophy: Doing Justice to What We KnowReview of Metaphysics 42 (3): 642643. 1989.This book offers a thoughtprovoking critique of analytic philosophy focusing on four central figuresRussell, 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

13The Collected Papers of Bertrand Russell, Volume 5: Toward Principia Mathematica, 1905–1908History and Philosophy of Logic 36 (2): 162178. 2015.

12On russell’s metaphysics of timeIn Giovanni Macchia, Francesco Orilia & Vincenzo Fano (eds.), Space and Time: A Priori and a Posteriori Studies, De Gruyter. pp. 742. 2014.

12How to Russell Another MeinongianGrazer Philosophische Studien 37 (1): 93122. 1990.This article compares the theory of Meinongian objects proposed by Edward Zalta with a theory of fiction formulated within an early Russellian framework. The Russellian framework is the secondorder intensional logic proposed by Nino B. Cocchiarelly as a reconstruction of the form of Logicism Russell was examining shortly after writing The Principles of Mathematics. A Russellian theory of denoting concepts is developed in this intensional logic and applied as a theory of the "objects' of fiction…Read more

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10Pierre 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 14208520, no. 18 (review)History and Philosophy of Logic 29 (4): 383. 2008.

10How to Russell Another Meinongian: A Russellian Theory of Fictional Objects Versus Zalta's Theory of Abstract ObjectsGrazer Philosophische Studien 37 (1): 93122. 1990.This article compares the theory of Meinongian objects proposed by Edward Zalta with a theory of fiction formulated within an early Russellian framework. The Russellian framework is the secondorder intensional logic proposed by Nino B. Cocchiarelly as a reconstruction of the form of Logicism Russell was examining shortly after writing The Principles of Mathematics. A Russellian theory of denoting concepts is developed in this intensional logic and applied as a theory of the "objects' of fiction…Read more

9WellOrdering in the Russell–Newman ControversyRussell: The Journal of Bertrand Russell Studies 37 (2). 2017.

7On the Curious Calculi of Wittgenstein and Spencer BrownJournal for the History of Analytical Philosophy 6 (10). 2018.

6Russell: LogicInternet Encyclopedia of Philosophy. 2018.Bertrand Russell: Logic For Russell, Aristotelian syllogistic inference does not do justice to the subject of logic. This is surely not surprising. It may well be something of a surprise, however, to learn that in Russell’s view neither Boolean algebra nor modern quantification theory do justice to the subject. For Russell, logic is a synthetic … Continue reading Russell: Logic →

6Reading Frege's Grundgesetze, by Richard Heck. Oxford: Oxford University Press, 2012, xvii + 296 pp. ISBN 978‐0‐19‐923370‐0 £ 35.00 (review)European Journal of Philosophy 22 (1): 159172. 2014.

4Russell 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. 1992.

4Yablo’s Paradox and Russellian PropositionsRussell: The Journal of Bertrand Russell Studies 28 (2). 2008.Is selfreference necessary for the production of Liar paradoxes? Yablo has given an argument that selfreference is not necessary. He hopes to show that the indexical apparatus of selfreference of the traditional Liar paradox can be avoided by appealing to a list, a consecutive sequence, of sentences correlated oneone with natural numbers. Yablo opens his “Paradox without SelfReference” with the assumption that there is a sequence such that: Sn: “” Each sentence on Yablo’s list is supposed t…Read more

47 Russell's Substitutional TheoryIn Nicholas Griffin (ed.), The Cambridge Companion to Bertrand Russell, Cambridge University Press. pp. 241. 2003.

3Methodological CartesianismIn Javier Cumpa, Greg Jesson & Guido Bonino (eds.), Defending Realism: Ontological and Epistemological Investigations, De Gruyter. pp. 6398. 2014.

3Raymond Bradley, The Nature of All Being: A Study of Wittgenstein's Modal Atomism Reviewed byPhilosophy in Review 13 (6): 283285. 1993.

3Clark’s Paradox of Castañeda’s Guises: A Brief MemoirIn Adriano Palma (ed.), Castañeda and His Guises: Essays on the Work of HectorNeri Castañeda, De Gruyter. pp. 6782. 2014.

2The Philosophy of Logical AtomismPalgrave Macmillan. 2018.This book offers a comprehensive critical survey of issues of historical interpretation and evaluation in Bertrand Russell's 1918 logical atomism lectures and logical atomism itself. These lectures record the culmination of Russell's thought in response to discussions with Wittgenstein on the nature of judgement and philosophy of logic and with Moore and other philosophical realists about epistemology and ontological atomism, and to Whitehead and Russell’s novel extension of revolutionary ninete…Read more
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 