
4Fitch and MaryAxiomathes 17. forthcoming.There is a rather famous “Fitch argument” that not everything that is true is knowable. There is a rather famous “Mary argument” that is often used to argue that reductive physicalism is false. This paper sets out the two side by side as the Fitch Knowability Paradox and the Mary Knowability Paradox. It is found that they have the same logical form and thus the question of validity can be evaluated with the same tools. Likening the two is useful, since it avoids the problem that since the logica…Read more

5The 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

Whitehead Versus RussellIn Sorin Costreie (ed.), Early Analytic Philosophy – New Perspectives on the Tradition, Springer Verlag. 2016.

8On the Curious Calculi of Wittgenstein and Spencer BrownJournal for the History of Analytical Philosophy 6 (10). 2018.

29Truth, Predication and a Family of Contingent ParadoxesJournal of Philosophical Logic 48 (1): 113136. 2019.In truth theory one aims at general formal laws governing the attribution of truth to statements. Gupta’s and Belnap’s revisiontheoretic approach provides various wellmotivated theories of truth, in particular T* and T#, which tame the Liar and related paradoxes without a Tarskian hierarchy of languages. In property theory, one similarly aims at general formal laws governing the predication of properties. To avoid Russell’s paradox in this area a recourse to type theory is still popular, as te…Read more

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 →

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

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

98Logicism and the Problem of Infinity: The Number of Numbers: ArticlesPhilosophia Mathematica 19 (2): 167212. 2011.Simpletype theory is widely regarded as inadequate to capture the metaphysics of mathematics. The problem, however, is not that some kinds of structure cannot be studied within simpletype theory. Even structures that violate simpletypes are isomorphic to structures that can be studied in simpletype theory. In disputes over the logicist foundations of mathematics, the central issue concerns the problem that simpletype theory fails to assure an infinity of natural numbers as objects. This pap…Read more

40The Ins and Outs of Frege's Way Out †Special thanks to Kevin Klement, Ed Mares, Francesco Orilia, and anonymous referees for helpful comments on this paperPhilosophia Mathematica 14 (1): 125. 2006.Confronted with Russell's Paradox, Frege wrote an appendix to volume II of his _Grundgesetze der Arithmetik_. In it he offered a revision to Basic Law V, and proclaimed with confidence that the major theorems for arithmetic are recoverable. This paper shows that Frege's revised system has been seriously undermined by interpretations that transcribe his system into a predicate logic that is inattentive to important details of his conceptscript. By examining the revised system as a conceptscript…Read more

Meinong Reconstructed Versus Early Russell Reconstructed: A Study in the Formal Ontology of FictionDissertation, Indiana University. 1986.This dissertation is a study in the comparative formal ontology of fiction. We deal primarily with the alternative ontological frameworks of Alexius Meinong and early Bertrand Russell as each appears in or has influenced the development of intensional logics reconstructing their basic insights. Our aim is to develop an early Russellian account of fictionan account that can handle the semantics of stories about any manner of "object" of thought, purple gnomes, "roundsquares", paradoxical sets,…Read more

47Russell’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

19Quantification 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

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37Erich 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 0812695461 (cloth), 0812695534 (paper) (review)Philosophia Mathematica 13 (2): 225227. 2005.

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

The Paradoxes of Subjectivity and the Projective Structure of ConsciousnessIn Miguens & Preyer (eds.), Consciousness and Subjectivity, Ontos Verlag. pp. 47321. 2012.

32Wittgenstein'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

5Russell 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.

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

Russell's definite descriptions de reIn Nicholas Griffin & Dale Jacquette (eds.), Russell Vs. Meinong: The Legacy of "on Denoting", Routledge. 2009.

34Logic in Russell's Principles of MathematicsNotre Dame Journal of Formal Logic 37 (4): 554584. 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 allencompassing 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

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.

1Wittgenstein'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

17The Evolution of Principia Mathematica; Bertrand Russell's Manuscripts and Notes for the Second EditionHistory and Philosophy of Logic 34 (1): 7997. 2013.

Report on the 3rd Early Analytic Philosophy ConferenceThe Bertrand Russell Society Quarterly 122. 2004.
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 