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  1. Gregory Landini (unknown). Review of Brian McGuinness, Approaches to Wittgenstein. [REVIEW] Russell 25 (2).
     
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  2. Gregory Landini (forthcoming). Logic as a Universal Science: Russell's Early Logicism and Its Philosophical Context. Philosophical Quarterly.
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  3. Gregory Landini (forthcoming). The Collected Papers of Bertrand Russell, Volume 5: Toward Principia Mathematica, 1905–1908. History and Philosophy of Logic:1-17.
  4. G. Landini (2014). Gregory Landini. Zermelo and Russell's Paradox: Is There a Universal Set? Philosophia Mathematica 22 (1):142-142.
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  5. Gregory Landini (2014). Clark’s Paradox of Castañeda’s Guises: A Brief Memoir. In Adriano Palma (ed.), Castañeda and His Guises: Essays on the Work of Hector-Neri Castañeda. De Gruyter. 67-82.
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  6. Gregory Landini (2014). Methodological Cartesianism. In Javier Cumpa, Greg Jesson & Guido Bonino (eds.), Defending Realism: Ontological and Epistemological Investigations. De Gruyter. 63-98.
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  7. Gregory Landini (2014). On Russell’s Metaphysics of Time. In Giovanni Macchia, Francesco Orilia & Vincenzo Fano (eds.), Space and Time: A Priori and a Posteriori Studies. De Gruyter. 7-42.
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  8. Gregory Landini (2014). Russellian Facts About the Slingshot. Axiomathes 24 (4):533-547.
    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 with empirical content are made true by one (...)
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  9. Gregory Landini (2014). Reading 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.
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  10. G. Landini (2013). Zermelo and Russell's Paradox: Is There a Universal Set? Philosophia Mathematica 21 (2):180-199.
    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 (...)
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  11. Gregory Landini (2013). Review: D. Bostock. Russell's Logical Atomism. [REVIEW] Journal for the History of Analytical Philosophy 2 (1).
    This is review of D. David Bostock. Russell’s Logical Atomism.
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  12. Gregory Landini (2013). The Evolution of Principia Mathematica; Bertrand Russell's Manuscripts and Notes for the Second Edition. History and Philosophy of Logic 34 (1):79-97.
  13. Gregory Landini (2013). Typos of Principia Mathematica. History and Philosophy of Logic 34 (4):306 - 334.
    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.
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  14. G. Landini (2012). Michael 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.
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  15. Gregory Landini (2012). Fictions Are All in the Mind. Revue Internationale de Philosophie 4:593-614.
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  16. Gregory Landini (2012). Frege's Notations: What They Are and How They Mean. Palgrave Macmillan.
     
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  17. Kenneth Williford, David Rudrauf & Gregory Landini (2012). The Paradoxes of Subjectivity and the Projective Structure of Consciousness. In Miguens & Preyer (eds.), Consciousness and Subjectivity. Ontos Verlag. 47--321.
     
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  18. G. Landini (2011). Logicism and the Problem of Infinity: The Number of Numbers. Philosophia Mathematica 19 (2):167-212.
    Simple-type 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 simple-type theory. Even structures that violate simple-types are isomorphic to structures that can be studied in simple-type theory. In disputes over the logicist foundations of mathematics, the central issue concerns the problem that simple-type theory fails to assure an infinity of natural numbers as objects . This paper argues that the problem of infinity (...)
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  19. Gregory Landini (2011). Wittgenstein Reads Russell. In Marie McGinn & Oskari Kuusela (eds.), The Oxford Handbook of Wittgenstein. Oup Oxford.
     
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  20. Gregory Landini (2010). Russell. Routledge.
    Landini discusses the second edition of Principia Mathematica, to show Russella (TM)s intellectual relationship with Wittgenstein and Ramsey.
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  21. Gregory Landini (2010). Wittgenstein's Notes on Logic – Michael Potter. [REVIEW] Philosophical Quarterly 60 (240):645-648.
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  22. Gregory Landini (2009). Russell's Schema, Not Priest's Inclosure. History and Philosophy of Logic 30 (2):105-139.
    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 to the paradoxes of ?definability?.1 1?Special thanks to (...)
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  23. Gregory Landini (2009). Words Without Objects: Semantics, Ontology, and Logic for Non-Singularity. History and Philosophy of Logic 30 (2):204-208.
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  24. Gregory Landini (2009). Cocchiarella's Formal Ontology and the Paradoxes of Hyperintensionality. Axiomathes 19 (2):115-142.
    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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  25. Gregory Landini (2009). Russell and the Ontological Argument: 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 Invalid. Indeed, Given the Sanctions of Principia, One Might Have Thought He Would Find the Argument Logically Ungrammatical. This Paper Shows How Russell Might Formulate and Evaluate Anselm’s Ontological Argument and the Version Offered by Descartes in a Way That Avoids the Conflict. [REVIEW] Russell 29 (2).
     
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  26. Gregory C. Landini (2009). Russell's Definite Descriptions de Re. In Nicholas Griffin & Dale Jacquette (eds.), Russell Vs. Meinong: The Legacy of "on Denoting". Routledge.
  27. Gregory Landini (2008). Pierre 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 377:383.
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  28. Gregory Landini (2008). Yablo’s Paradox and Russellian Propositions. Russell 28 (2).
    Is self-reference necessary for the production of Liar paradoxes? Yablo has given an argument that self-reference is not necessary. He hopes to show that the indexical apparatus of self-reference of the traditional Liar paradox can be avoided by appealing to a list, a consecutive sequence, of sentences correlated one-one with natural numbers. Yablo opens his “Paradox without Self-Reference” with the assumption that there is a sequence such that: Sn: “” Each sentence on Yablo’s list is supposed to be correlated one-one (...)
     
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  29. Gregory Landini (2007). Logicism without Peano 4. Soochow Journal of Philosophical Studies 16:69 - 91.
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  30. Gregory Landini (2007). Wittgenstein's Apprenticeship with Russell. Cambridge University Press.
    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 characterizes Russell with positions he did not hold. Using a careful analysis of Wittgenstein’s writings he traces the Doctrine of Showing and the ‘fundamental idea’ of the Tractatus to Russell’s logical atomist research program which (...)
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  31. G. Landini (2006). The Ins and Outs of Frege's Way Out. Philosophia Mathematica 14 (1):1-25.
    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 concept-script. By examining the revised system as a concept-script, we see how Frege imagined (...)
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  32. Gregory Landini (2006). Frege's Cardinals as Concept-Correlates. Erkenntnis 65 (2):207 - 243.
    In his Grundgesetze, Frege hints that prior to his theory that cardinal numbers are objects (courses-of-values) 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 (as objects) 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 (...)
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  33. G. Landini (2005). Erich 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.
  34. Gregory Landini (2005). Quantification Theory in *8 ofPrincipia Mathematicaand the Empty Domain. History and Philosophy of Logic 26 (1):47-59.
    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 Russell successfully antedates (...)
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  35. G. Landini (2004). Karel Lambert Free Logic: Selected Essays. History and Philosophy of Logic 25:244-249.
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  36. Gregory Landini (2004). Report on the 3rd Early Analytic Philosophy Conference. The Bertrand Russell Society Quarterly 122.
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  37. Gregory Landini (2004). Russell's Separation of the Logical and Semantic Paradoxes. Revue Internationale de Philosophie 3:257-294.
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  38. Gregory Landini (2003). 7 Russell's Substitutional Theory. In Nicholas Griffin (ed.), The Cambridge Companion to Bertrand Russell. Cambridge University Press. 241.
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  39. Gregory Landini (2003). Wittgenstein's Tractarian Apprenticeship. Russell 23 (2).
    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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  40. Gregory Landini (2000). Quantification Theory in *9 of Principia Mathematica. History and Philosophy of Logic 21 (1):57-77.
    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 (...)
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  41. Gregory Landini (1998). `On Denoting' Against Denoting. Russell 18 (1).
     
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  42. Gregory Landini (1998). Russell's Hidden Substitutional Theory. Oxford University Press.
    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 substitutional theory reveals the unity of Russell's (...)
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  43. G. Landini (1997). Robert C. Moore, Logic and Representation. Minds and Machines 7:122-125.
  44. C. Hill, Bertil Rolf, Gregory Landini, Timothy Williamson & Desmond Henry (1996). Reviews of A. Kenny, Frege, an Introduction to the Founder of Modern Analytic Philosophy. London: Penguin, 1995. VIII-H223pp. £7.99 T. Willamson, Vagueness. London: Routledge, 1994. XIII-F-325 Pp. £35.00 Tom Burke, Dewey's New Logic: A Reply to Russell. Chicago: University of Chicago, 1994. XII+288 Pp. £25.50/$36.75 M. Pinkal Logic and Lexicon: The Semantics of the Indefinite. Translated From the German by G.Simmons. Dordrecht: Kluwer, 1995. XVIII + 378 Pp. £74.00/ $93/175 Dfl M. Pinkal Logic and Lexicon: The Semantics of the Indefinite. Translated From the German by G.Simmons. Dordrecht: Kluwer, 1995. XVIII + 378 Pp. £74.00/ $93/175 Dfl Nicholas Rescher, Essays in the History of Philosophy. Aldershot: Avebury, 1995. VII + 373 Pp. £42.50 Christian Thiel, Philosophie Und Mathematik. Eine Einführung in Ihre Wechsel-Wirkungen Und in Die Philosophie der Mathematik. Darmstadt: Wissenschaftliche Buchgesellschaft, 1995. 364 Pp. Isbn 3-534 05990-5. No Price Stated Jon Barwise and John Etchemen. [REVIEW] History and Philosophy of Logic 17 (1 & 2):85-119.
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  45. C. Hill, Bertil Rolf, Gregory Landini, Timothy Williamson, Desmond Paul Henry, I. Grattan-Guinness, Simone Martini, Reinhard Hülsen, R. N. Bosley, Claire Ortiz Hill, J. Hund, Kenneth G. Ferguson, Maía Frápolli, Stephen Read, F. Widebäck, Peter øhrstrøm & Nino B. Cocchiarella (1996). Book Reviews. [REVIEW] History and Philosophy of Logic 17 (1-2):85-119.
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  46. Gregory Landini (1996). Decomposition and Analysis in Frege'sgrundgesetze. History and Philosophy of Logic 17 (1-2):121-139.
    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 decompositions. Decomposition is then shown to be adequate (...)
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  47. Gregory Landini (1996). Logic in Russell's Principles of Mathematics. Notre Dame Journal of Formal Logic 37 (4):554-584.
    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 paper is an attempt to recover the formal system, showing its philosophical background (...)
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  48. Gregory Landini (1996). The Definability of the Set of Natural Numbers in the 1925 Principia Mathematica. Journal of Philosophical Logic 25 (6):597 - 615.
    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 extensionality principles and without reducibility cannot (...)
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  49. Gregory Landini (1993). Raymond Bradley, The Nature of All Being: A Study of Wittgenstein's Modal Atomism Reviewed By. Philosophy in Review 13 (6):283-285.
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  50. Gregory Landini (1992). Book Review: Francisco A. Rodriguez-Consuegra. The Mathematical Philosophy of Bertrand Russell: Origins and Development. [REVIEW] Notre Dame Journal of Formal Logic 33 (4):604-610.
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