•  2
    Fitch and Mary
    Axiomathes 1-7. 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
  •  2
    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
  •  3
    On the Curious Calculi of Wittgenstein and Spencer Brown
    Journal for the History of Analytical Philosophy 6 (10). 2018.
  •  23
    Truth, Predication and a Family of Contingent Paradoxes
    Journal of Philosophical Logic 48 (1): 113-136. 2019.
    In truth theory one aims at general formal laws governing the attribution of truth to statements. Gupta’s and Belnap’s revision-theoretic approach provides various well-motivated 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
  •  6
    Russell: Logic
    Internet 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 →
  •  9
    Well-Ordering in the Russell–Newman Controversy
    Russell: The Journal of Bertrand Russell Studies 37 (2). 2017.
  •  17
    Meinong and Russell: Some Lessons on Quantification
    Axiomathes 27 (5): 455-474. 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
  •  7
    "On Denoting" against Denoting
    Russell: The Journal of Bertrand Russell Studies 18 (1). 1998.
  •  95
    Logicism and the Problem of Infinity: The Number of Numbers: Articles
    Philosophia Mathematica 19 (2): 167-212. 2011.
    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 pap…Read more
  •  35
    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…Read more
  • 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 fiction--an account that can handle the semantics of stories about any manner of "object" of thought, purple gnomes, "round-squares", paradoxical sets,…Read more
  •  45
    Russell’s Hidden Substitutional Theory
    Oxford 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
  •  17
    Quantification Theory in *9 of Principia Mathematica
    History and Philosophy of Logic 21 (1): 57-77. 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 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 repair th…Read more
  •  3
    Methodological Cartesianism
    In Javier Cumpa, Greg Jesson & Guido Bonino (eds.), Defending Realism: Ontological and Epistemological Investigations, De Gruyter. pp. 63-98. 2014.
  •  31
    Wittgenstein's Apprenticeship with Russell
    Cambridge 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
  •  15
    Beyond Analytic Philosophy: Doing Justice to What We Know
    Review of Metaphysics 42 (3): 642-643. 1989.
    This book offers a thought-provoking critique of analytic philosophy focusing on four central figures--Russell, 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
  •  33
    Logic in Russell's Principles of Mathematics
    Notre Dame Journal of Formal Logic 37 (4): 554-584. 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 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 pap…Read more
  •  12
    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. pp. 7-42. 2014.
  •  1
    Wittgenstein's Tractarian Apprenticeship
    Russell: 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
  • Karel Lambert Free logic: Selected essays
    History and Philosophy of Logic 25 244-249. 2004.
  •  21
    Fictions Are All in the Mind
    Revue Internationale de Philosophie 262 (4): 593-614. 2012.
  • Report on the 3rd Early Analytic Philosophy Conference
    The Bertrand Russell Society Quarterly 122. 2004.