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34New Evidence concerning Russell's Substitutional Theory of ClassesRussell: The Journal of Bertrand Russell Studies 9 (1): 26. 1989.
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57How to Russell Another MeinongianGrazer Philosophische Studien 37 (1): 93-122. 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 second-order 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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90Wittgenstein's notes on logic – Michael Potter (review)Philosophical Quarterly 60 (240): 645-648. 2010.No Abstract
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7Clark’s Paradox of Castañeda’s Guises: A Brief MemoirIn Adriano Palma (ed.), Castañeda and His Guises: Essays on the Work of Hector-Neri Castañeda, De Gruyter. pp. 67-82. 2014.
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34The Collected Papers of Bertrand Russell, Volume 5: Toward Principia Mathematica, 1905–1908History and Philosophy of Logic 36 (2): 162-178. 2015.For logicians and metaphysicians curious about the evolution of Russell's logic from The Principles of Mathematics to Principia Mathematica, no volume of the Collected Papers of Bertr...
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39Quantification Theory in *8 of Principia Mathematica and the Empty DomainHistory and Philosophy of Logic 26 (1): 47-59. 2005.The second printing of Principia Mathematica in 1925 offered Russell an occasion to assess some criticisms of the Principia and make some suggestions for possible improvements. In Appendix A, Russell offered *8 as a new quantification theory to replace *9 of the original text. As Russell explained in the new introduction to the second edition, the system of *8 sets out quantification theory without free variables. Unfortunately, the system has not been well understood. This paper shows that Russ…Read more
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10Reading 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): 159-172. 2014.
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42RussellRoutledge. 2011.Landini discusses the second edition of Principia Mathematica, to show Russella (TM)s intellectual relationship with Wittgenstein and Ramsey.
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143Zermelo and Russell's Paradox: Is There a Universal set?Philosophia Mathematica 21 (2): 180-199. 2013.Zermelo once wrote that he had anticipated Russell's contradiction of the set of all sets that are not members of themselves. Is this sufficient for having anticipated Russell's Paradox — the paradox that revealed the untenability of the logical notion of a set as an extension? This paper argues that it is not sufficient and offers criteria that are necessary and sufficient for having discovered Russell's Paradox. It is shown that there is ample evidence that Russell satisfied the criteria and t…Read more
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94Frege's Cardinals Do Not Always Obey Hume's PrincipleHistory and Philosophy of Logic 38 (2): 127-153. 2017.Hume's Principle, dear to neo-Logicists, maintains that equinumerosity is both necessary and sufficient for sameness of cardinal number. All the same, Whitehead demonstrated in Principia Mathematica's logic of relations that Cantor's power-class theorem entails that Hume's Principle admits of exceptions. Of course, Hume's Principle concerns cardinals and in Principia's ‘no-classes’ theory cardinals are not objects in Frege's sense. But this paper shows that the result applies as well to the theo…Read more
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58The persistence of counterexample: Re-examining the debate over Leibniz lawNoûs 25 (1): 43-61. 1991.
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50Words Without Objects: Semantics, Ontology, and Logic for Non-SingularityHistory and Philosophy of Logic 30 (2): 204-208. 2009.HENRY LAYCOCK, Words Without Objects: Semantics, Ontology, and Logic for Non-Singularity. Oxford: Clarendon Press, 2006. xvi + 202pp. £35.00. ISBN 0‐19‐928171‐8. Gregory Landini, Department of Phil...
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34Russell's Separation of the Logical and Semantic ParadoxesRevue Internationale de Philosophie 3 257-294. 2004.
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68Decomposition and analysis in Frege’s GrundgesetzeHistory and Philosophy of Logic 17 (1-2): 121-139. 1996.Frege seems to hold two incompatible theses:(i) that sentences differing in structure can yet express the same sense; and (ii) that the senses of the meaningful parts of a complex term are determinate parts of the sense of the term. Dummett offered a solution, distinguishing analysis from decomposition. The present paper offers an embellishment of Dummett?s distinction by providing a way of depicting the internal structures of complex senses?determinate structures that yield distinct decompositi…Read more
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38Review: D. Bostock. Russell’s Logical Atomism (review)Journal for the History of Analytical Philosophy 2 (1). 2013.This is review of D. David Bostock. Russell’s Logical Atomism
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44How to Russell Another MeinongianGrazer Philosophische Studien 37 (1): 93-122. 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 second-order 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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Wittgenstein reads RussellIn Marie McGinn & Oskari Kuusela (eds.), The Oxford Handbook of Wittgenstein, Oxford University Press. 2011.
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56Erik C. Banks, The Realistic Empiricism of Mach, James and Russell (review)Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (2): 329-333. 2016.
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96The definability of the set of natural numbers in the 1925 principia mathematicaJournal of Philosophical Logic 25 (6). 1996.In his new introduction to the 1925 second edition of Principia Mathematica, Russell maintained that by adopting Wittgenstein's idea that a logically perfect language should be extensional mathematical induction could be rectified for finite cardinals without the axiom of reducibility. In an Appendix B, Russell set forth a proof. Godel caught a defect in the proof at *89.16, so that the matter of rectification remained open. Myhill later arrived at a negative result: Principia with extensionalit…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 |