Search results for 'Gregory C. Landini' (try it on Scholar)

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  1. Gregory Landini (2014). Gregory Landini. Zermelo and Russell's Paradox: Is There a Universal Set? Philosophia Mathematica 22 (1):142-142.score: 480.0
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  2. 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.score: 290.0
  3. Gregory Landini (2007). Wittgenstein's Apprenticeship with Russell. Cambridge University Press.score: 240.0
    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 In Wittgenstein’s Apprenticeship with Russell, Gregory Landini draws extensively from his work on Russell’s unpublished manuscripts to show that the consensus characterizes Russell with positions he did not hold.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 (...)
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  4. Gregory Landini (1998). Russell's Hidden Substitutional Theory. Oxford University Press.score: 150.0
    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 The heart of Landini's book is a careful analysis of Russell's largely unpublished "substitutional" theory.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 (...)
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  5. Gregory Landini (2010). Russell. Routledge.score: 150.0
    Landini discusses the second edition of Principia Mathematica, to show Russella (TM)s intellectual relationship with Wittgenstein and Ramsey.
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  6. Gregory Landini (2010). Wittgenstein's Notes on Logic – Michael Potter. [REVIEW] Philosophical Quarterly 60 (240):645-648.score: 120.0
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  7. Gregory Landini (1991). A New Interpretation of Russell's Multiple-Relation Theory of Judgment. History and Philosophy of Logic 12 (1):37-69.score: 120.0
    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 new understanding of Russell's abandoned book _Theory of Knowledge (1913), the 'direction (...)
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  8. Gregory Landini (2009). Cocchiarella's Formal Ontology and the Paradoxes of Hyperintensionality. Axiomathes 19 (2):115-142.score: 120.0
    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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  9. Gregory Landini (1996). The Definability of the Set of Natural Numbers in the 1925 Principia Mathematica. Journal of Philosophical Logic 25 (6):597 - 615.score: 120.0
    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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  10. Gregory Landini (2009). Words Without Objects: Semantics, Ontology, and Logic for Non-Singularity. History and Philosophy of Logic 30 (2):204-208.score: 120.0
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  11. Gregory Landini (2006). Frege's Cardinals as Concept-Correlates. Erkenntnis 65 (2):207 - 243.score: 120.0
    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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  12. Gregory Landini & Thomas R. Foster (1991). The Persistence of Counterexample: Re-Examining the Debate Over Leibniz Law. Noûs 25 (1):43-61.score: 120.0
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  13. Gregory Landini (1987). Putnam's Model-Theoretic Argument, Natural Realism, and the Standard Conception of Theories. Philosophical Papers 16 (3):209-233.score: 120.0
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  14. Gregory Landini (2009). Russell's Schema, Not Priest's Inclosure. History and Philosophy of Logic 30 (2):105-139.score: 120.0
    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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  15. Gregory Landini (1996). Logic in Russell's Principles of Mathematics. Notre Dame Journal of Formal Logic 37 (4):554-584.score: 120.0
    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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  16. 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.score: 120.0
  17. Gregory Landini (2005). Quantification Theory in *8 ofPrincipia Mathematicaand the Empty Domain. History and Philosophy of Logic 26 (1):47-59.score: 120.0
    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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  18. Gregory Landini (1996). Decomposition and Analysis in Frege'sgrundgesetze. History and Philosophy of Logic 17 (1-2):121-139.score: 120.0
    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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  19. Gregory Landini (1987). Russell's Substitutional Theory of Classes and Relations. History and Philosophy of Logic 8 (2):171-200.score: 120.0
    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 type-theory up to Principia. Each is interpreted as presenting a version or modification of the substitutional (...)
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  20. Gregory Landini (2013). Review: D. Bostock. Russell's Logical Atomism. [REVIEW] Journal for the History of Analytical Philosophy 2 (1).score: 120.0
    This is review of D. David Bostock. Russell’s Logical Atomism.
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  21. 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.score: 120.0
  22. Gregory Landini (2000). Quantification Theory in *9 of Principia Mathematica. History and Philosophy of Logic 21 (1):57-77.score: 120.0
    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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  23. Gregory Landini (2013). Typos of Principia Mathematica. History and Philosophy of Logic 34 (4):306 - 334.score: 120.0
    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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  24. Gregory Landini (forthcoming). Russellian Facts About the Slingshot. Axiomathes:1-15.score: 120.0
    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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  25. Gregory Landini (2012). Fictions Are All in the Mind. Revue Internationale de Philosophie 4:593-614.score: 120.0
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  26. Gregory Landini (forthcoming). Logic as a Universal Science: Russell's Early Logicism and Its Philosophical Context. Philosophical Quarterly.score: 120.0
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  27. Gregory Landini (2007). Logicism without Peano 4. Soochow Journal of Philosophical Studies 16:69 - 91.score: 120.0
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  28. Gregory Landini (2004). Russell's Separation of the Logical and Semantic Paradoxes. Revue Internationale de Philosophie 3:257-294.score: 120.0
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  29. Gregory Landini (1985). Salvaging 'the F-Er is F': The Lesson of Clark's Paradox. Philosophical Studies 48 (1):129 - 136.score: 120.0
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  30. Gregory Landini (1989). Beyond Analytic Philosophy. Review of Metaphysics 42 (3):642-643.score: 120.0
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  31. Gregory Landini (2012). Frege's Notations: What They Are and How They Mean. Palgrave Macmillan.score: 120.0
     
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  32. Gregory Landini (1990). How to Russell Another Meinongian. Grazer Philosophische Studien 37:93-122.score: 120.0
    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. The framework retains the Orthodox (...)
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  33. 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.score: 120.0
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  34. 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.score: 120.0
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  35. G. Landini (1997). Robert C. Moore, Logic and Representation. Minds and Machines 7:122-125.score: 120.0
  36. 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.score: 120.0
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  37. Gregory Landini (2003). 7 Russell's Substitutional Theory. In Nicholas Griffin (ed.), The Cambridge Companion to Bertrand Russell. Cambridge University Press. 241.score: 120.0
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  38. Gregory Landini (2011). Wittgenstein Reads Russell. In Marie McGinn & Oskari Kuusela (eds.), The Oxford Handbook of Wittgenstein. Oup Oxford.score: 120.0
     
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  39. 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.score: 120.0
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  40. Kevin C. Klement (2012). Review: Gregory Landini, Russell. London and New York, Routledge 2011. [REVIEW] Journal for the History of Analytical Philosophy 1 (2).score: 51.0
    This essay reviews Gregory Landini's book Russell.
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  41. Nino B. Cocchiarella (2009). Reply to Gregory Landini's Review of Formal Ontology and Conceptual Realism. Axiomathes 19 (2):143-153.score: 36.0
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  42. Nicholas Griffin (2008). Review of Gregory Landini, Wittgenstein's Apprenticeship with Russell. [REVIEW] Notre Dame Philosophical Reviews 2008 (4).score: 36.0
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  43. Alasdair Urquhart (1999). Review: Gregory Landini, Russell's Hidden Substitutional Theory. [REVIEW] Journal of Symbolic Logic 64 (3):1370-1371.score: 36.0
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  44. Joseph Agassi (2009). The Advantage of Theft Over Honest Toil. Philosophy of the Social Sciences 39 (3):507-526.score: 12.0
    Gregory Landini offers a new and an illuminating reading of Ludwig Wittgenstein’s idea about his own innovation: it is the invention of a notation that removes the mystery from all theorems of logic and of mathematics as it renders their proofs part of their wordings. This makes all theorems in principle as boring as “all four-legged animals are animals.” This idea is Wittgenstein’s doctrine of showing. It is worthless; yet, as Landini shows, every time Wittgenstein offered an (...)
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