108 found
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  1. In defense of the simplest quantified modal logic.Bernard Linsky & Edward N. Zalta - 1994 - Philosophical Perspectives 8:431-458.
    The simplest quantified modal logic combines classical quantification theory with the propositional modal logic K. The models of simple QML relativize predication to possible worlds and treat the quantifier as ranging over a single fixed domain of objects. But this simple QML has features that are objectionable to actualists. By contrast, Kripke-models, with their varying domains and restricted quantifiers, seem to eliminate these features. But in fact, Kripke-models also have features to which actualists object. Though these philosophers have introduced variations (...)
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  2. In defense of the contingently nonconcrete.Bernard Linsky & Edward N. Zalta - 1996 - Philosophical Studies 84 (2-3):283-294.
    In "Actualism or Possibilism?" (Philosophical Studies, 84 (2-3), December 1996), James Tomberlin develops two challenges for actualism. The challenges are to account for the truth of certain sentences without appealing to merely possible objects. After canvassing the main actualist attempts to account for these phenomena, he then criticizes the new conception of actualism that we described in our paper "In Defense of the Simplest Quantified Modal Logic" (Philosophical Perspectives 8: Philosophy of Logic and Language, Atascadero, CA: Ridgeview, 1994). We respond (...)
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  3. Naturalized platonism versus platonized naturalism.Bernard Linsky & Edward N. Zalta - 1995 - Journal of Philosophy 92 (10):525-555.
    In this paper, we develop an alternative strategy, Platonized Naturalism, for reconciling naturalism and Platonism and to account for our knowledge of mathematical objects and properties. A systematic (Principled) Platonism based on a comprehension principle that asserts the existence of a plenitude of abstract objects is not just consistent with, but required (on transcendental grounds) for naturalism. Such a comprehension principle is synthetic, and it is known a priori. Its synthetic a priori character is grounded in the fact that it (...)
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  4.  40
    Russell's Metaphysical Logic.Bernard Linsky - 1999 - Center for the Study of Language and Inf.
    This study offers a novel integration of distinct aspects of Russell's thought.
  5. What is neologicism?Bernard Linsky & Edward N. Zalta - 2006 - Bulletin of Symbolic Logic 12 (1):60-99.
    In this paper, we investigate (1) what can be salvaged from the original project of "logicism" and (2) what is the best that can be done if we lower our sights a bit. Logicism is the view that "mathematics is reducible to logic alone", and there are a variety of reasons why it was a non-starter. We consider the various ways of weakening this claim so as to produce a "neologicism". Three ways are discussed: (1) expand the conception of logic (...)
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  6.  15
    General Terms as Designators.Bernard Linsky - 1984 - Pacific Philosophical Quarterly 65 (3):259-276.
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  7. Verification: The Hysteron Proteron Argument.Francis Jeffry Pelletier & Bernard Linsky - 2018 - Journal for the History of Analytical Philosophy 6 (6).
    This paper investigates the strange case of an argument that was directed against a positivist verification principle. We find an early occurrence of the argument in a talk by the phenomenologist Roman Ingarden at the 1934 International Congress of Philosophy in Prague, where Carnap and Neurath were present and contributed short rejoinders. We discuss the underlying presuppositons of the argument, and we evaluate whether the attempts by Carnap (especially) actually succeed in answering this argument. We think they don’t, and offer (...)
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  8. Logical types in some arguments about knowability and belief.Bernard Linsky - 2009 - In Joe Salerno (ed.), New Essays on the Knowability Paradox. Oxford University Press.
     
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  9.  95
    General Terms as Rigid Designators.Bernard Linsky - 2006 - Philosophical Studies 128 (3):655-667.
    According to Scott Soames’ Beyond Rigidity, there are two important pieces of unfinished business left over from Saul Kripke’s influential Naming and Necessity. Soames reads Kripke’s arguments about names as primarily negative, that is, as proving that names don’t have a meaning expressible by definite descriptions or clusters of them. The famous Kripkean doctrine that names are rigid designators is really only part of the negative case. The thesis that names refer to the same object with respect to every possible (...)
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  10. Is Lewis a meinongian?Bernard Linsky & Edward N. Zalta - 1991 - Australasian Journal of Philosophy 69 (4):438–453.
    The views of David Lewis and the Meinongians are both often met with an incredulous stare. This is not by accident. The stunned disbelief that usually accompanies the stare is a natural first reaction to a large ontology. Indeed, Lewis has been explicitly linked with Meinong, a charge that he has taken great pains to deny. However, the issue is not a simple one. "Meinongianism" is a complex set of distinctions and doctrines about existence and predication, in addition to the (...)
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  11.  35
    The evolution of Principia mathematica: Bertrand Russell's manuscripts and notes for the second edition.Bernard Linsky - 2011 - New York: Cambridge University Press.
    Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of (...)
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  12.  81
    Mathematical descriptions.Bernard Linsky & Edward N. Zalta - 2019 - Philosophical Studies 176 (2):473-481.
    In this paper, the authors briefly summarize how object theory uses definite descriptions to identify the denotations of the individual terms of theoretical mathematics and then further develop their object-theoretic philosophy of mathematics by showing how it has the resources to address some objections recently raised against the theory. Certain ‘canonical’ descriptions of object theory, which are guaranteed to denote, correctly identify mathematical objects for each mathematical theory T, independently of how well someone understands the descriptive condition. And to have (...)
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  13.  90
    What is Frege's theory of descriptions?Bernard Linsky & Jeffry Pelletier - 2005 - In Bernard Linsky & Jeffry Pelletier (eds.), On Denoting: 1905-2005. München: Philosophia. pp. 195-250.
    In the case of an actual proper name such as ‘Aristotle’ opinions as to the Sinn may differ. It might, for instance, be taken to be the following: the pupil of Plato and teacher of Alexander the Great. Anybody who does this will attach another Sinn to the sentence ‘Aristotle was born in Stagira’ than will a man who takes as the Sinn of the name: the teacher of Alexander the Great who was born in Stagira. So long as the (...)
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  14.  48
    Propositional functions and universals in principia mathematica.Bernard Linsky - 1988 - Australasian Journal of Philosophy 66 (4):447 – 460.
  15.  15
    Propositional Logic from The Principles of Mathematics to Principia Mathematica.Bernard Linsky - 2016 - In Sorin Costreie (ed.), Early Analytic Philosophy – New Perspectives on the Tradition. Cham, Switzerland: Springer Verlag.
    Bertrand Russell presented three systems of propositional logic, one first in Principles of Mathematics, University Press, Cambridge, 1903 then in “The Theory of Implication”, Routledge, New York, London, pp. 14–61, 1906) and culminating with Principia Mathematica, Cambridge University Press, Cambridge, 1910. They are each based on different primitive connectives and axioms. This paper follows “Peirce’s Law” through those systems with the aim of understanding some of the notorious peculiarities of the 1910 system and so revealing some of the early history (...)
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  16.  21
    The Palgrave Centenary Companion to Principia Mathematica.Nicholas Griffin & Bernard Linsky (eds.) - 2013 - London and Basingstoke: Palgrave-Macmillan.
    To mark the centenary of the 1910 to 1913 publication of the monumental Principia Mathematica by Alfred N. Whitehead and Bertrand Russell, this collection of fifteen new essays by distinguished scholars considers the influence and history of PM over the last hundred years.
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  17. The Place of The Problems of Philosophy in Philosophy.Donovan Wishon & Bernard Linsky - 2015 - In Donovan Wishon & Bernard Linsky (eds.), Acquaintance, Knowledge, and Logic: New Essays on Bertrand Russell's The Problems of Philosophy. Stanford: CSLI Publications.
    This chapter summarizes Russell’s The Problems of Philosophy, presents new biographical details about how and why Russell wrote it, and highlights its continued significance for contemporary philosophy. It also surveys Russell’s famous distinction between “knowledge by acquaintance” and “knowledge by description,” his developing views about our knowledge of physical reality, and his views about our knowledge of logic, mathematics, and other abstract objects.
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  18.  34
    Russell's Notes on Frege for Appendix A of The Principles of Mathematics.Bernard Linsky - 2004 - Russell: The Journal of Bertrand Russell Studies 24 (2):133-172.
    This article presents notes that Russell made while reading the works of Gottlob Frege in 1902. These works include Frege’s books as well as the packet of offprints Frege sent at Russell’s request in June of that year. Russell relied on these notes while composing “Appendix A: The Logical and Arithmetical Doctrines of Frege” to add to _The Principles of Mathematics_, which was then in press. A transcription of the marginal comments in those works of Frege appeared in the previous (...)
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  19.  55
    Was the Axiom of Reducibility a Principle of Logic?Bernard Linsky - 1990 - Russell: The Journal of Bertrand Russell Studies 10 (2):125.
  20. Logical analysis and logical construction.Bernard Linsky - 2007 - In Micahel Beaney (ed.), The Analytic Turn. Routledge. pp. 107--122.
     
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  21. Russell vs. Frege on definite descriptions as singular terms.Francis Jeffry Pelletier & Bernard Linsky - 2009 - In Nicholas Griffin & Dale Jacquette (eds.), Russell Vs. Meinong: The Legacy of. Routledge.
    In ‘On Denoting’ and to some extent in ‘Review of Meinong and Others, Untersuchungen zur Gegenstandstheorie und Psychologie’, published in the same issue of Mind (Russell, 1905a,b), Russell presents not only his famous elimination (or contextual defi nition) of defi nite descriptions, but also a series of considerations against understanding defi nite descriptions as singular terms. At the end of ‘On Denoting’, Russell believes he has shown that all the theories that do treat defi nite descriptions as singular terms fall (...)
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  22.  73
    Factives, Blindspots and Some Paradoxes.Bernard Linsky - 1986 - Analysis 46 (1):10 - 15.
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  23.  46
    The Logical Form of Descriptions.Bernard Linsky - 1992 - Dialogue 31 (4):677-.
    This critical notice of Stephen Neale's "Descriptions", (MIT Press, 1990) summarizes the content of the book and presents several objections to its arguments, as well as praising Neale for showing just how close the linguistic notion of L F is to the analytic philosopher's notion of "logical form". It is claimed that Neale's use of generalized quantifiers to represent definite descriptions from Russell's account by which descriptions are "incomplete symbols". I also argue that his assessment of the Quine/Smullyan exchange about (...)
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  24.  30
    On Jan Łukasiewicz's ‘The Principle of Contradiction and Symbolic Logic’.Adam Trybus & Bernard Linsky - 2020 - History and Philosophy of Logic 41 (2):183-190.
    This is a companion article to the translation of ‘Zasada sprzeczności a logika symboliczna’, the appendix on symbolic logic of Jan Łukasiewicz's 1910 book O zasadzie sprzeczności u Arytotelesa (On the Principle of Contradiction in Aristotle). While the appendix closely follows Couturat's 1905 book L'algebra de la logique (The Algebra of Logic), footnotes show that Łukasiewicz was aware of the work of Peirce, Huntington and Russell (before Principia Mathematica). This appendix was influential in the development of the Polish school of (...)
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  25.  35
    Leon Chwistek on the no-classes theory in Principia Mathematica.Bernard Linsky - 2004 - History and Philosophy of Logic 25 (1):53-71.
    Leon Chwistek's 1924 paper ?The Theory of Constructive Types? is cited in the list of recent ?contributions to mathematical logic? in the second edition of Principia Mathematica, yet its prefatory criticisms of the no-classes theory have been seldom noticed. This paper presents a transcription of the relevant section of Chwistek's paper, comments on the significance of his arguments, and traces the reception of the paper. It is suggested that while Russell was aware of Chwistek's points, they were not important in (...)
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  26.  88
    Phenomenal qualities and the identity of indistinguishables.Bernard Linsky - 1984 - Synthese 59 (June):363-380.
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  27.  75
    Truth Makers for Modal Propositions.Bernard Linsky - 1994 - The Monist 77 (2):192-206.
    A correspondence theory of truth involves at least three constituents; the truth bearer, propositions, which stand in a relation of correspondence to the third element, the truth maker, some objects or fact with which the truth maker must correspond. Correspondence theories differ about the nature of truth makers, over whether one needs to include properties, and in particular over whether facts must be assumed in addition in order to give a correct account not merely of the conditions under which propositions (...)
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  28.  21
    The Substitutional Paradox in Russell's 1907 Letter to Hawtrey [see corrected reprint in next issue].Bernard Linsky - 2002 - Russell: The Journal of Bertrand Russell Studies 22 (1):47-55.
    This note presents a transcription of Russell's letter to Hawtrey of 22 January 1907 accompanied by some proposed emendations. In that letter Russell describes the paradox that he says "pilled" the "substitutional theory" developed just before he turned to the theory of types. A close paraphrase of the derivation of the paradox in a contemporary Lemmon-style natural deduction system shows which axioms the theory must assume to govern its characteristic notion of substituting individuals and propositions for each other in other (...)
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  29.  48
    Logical constructions.Bernard Linsky - 2008 - Stanford Encyclopedia of Philosophy.
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  30.  11
    Principia mathematica at 100.Kenneth Blackwell, Nicholas Griffin & Bernard Linsky (eds.) - 2011 - Hamilton, Ontario: Bertrand Russell Research Centre.
  31. “The Tragedy of Verbal Metaphysics” by Leon Chwistek.Adam Trybus & Bernard Linsky - 2017 - Journal for the History of Analytical Philosophy 5 (1).
    This is the first English translation of Leon Chwistek’s “Tragedia werbalnej metafizyki,” Kwartalnik Filozoficzny, Vol. X, 1932, 46–76. Chwistek offers a scathing critique of Roman Ingarden’s Das literarische Kunstwerk and of the entire Phenomenology movement. The text also contains many hints at Chwistek’s own philosophical and formal ideas. The book that Chwistek reviews attracted wide attention and was instrumental in winning Ingarden a position as Professor of Philosophy at the University of Lwów in 1933. Chwistek’s alienation from his fellow logicians (...)
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  32.  26
    Russell's Marginalia in His Copies of Frege's Works.Bernard Linsky - 2004 - Russell: The Journal of Bertrand Russell Studies 24 (1).
    A transcription of Russell's marginal comments in his copies of Frege's works, from his readings of Frege in 1902. The greatest number are in the early sections of _Grundgesetze der Arithmetik_, Vol. I, but there are also marginal comments in _Begriffsschrift_, _Grundlagen der Arithmetik_, "Ueber Formale Theorien der Arithmetik", "Ueber Begriff und Gegenstand", "Function und Begriff", "Kritische Beleuchtung einiger Punkte in E. Schroeders..." and two corrections of typographical errors in "Ueber Sinn und Bedeutung".
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  33.  76
    11 The Metaphysics of Logical Atomism.Bernard Linsky - 2003 - In Nicholas Griffin (ed.), The Cambridge Companion to Bertrand Russell. Cambridge University Press. pp. 371.
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  34.  30
    The Substitutional Paradox in Russell's 1907 Letter to Hawtrey [corrected reprint].Bernard Linsky - 2002 - Russell: The Journal of Bertrand Russell Studies 22 (2).
    This note presents a transcription of Russell's letter to Hawtrey of 22 January 1907 accompanied by some proposed emendations. In that letter Russell describes the paradox that he says "pilled" the "substitutional theory" developed just before he turned to the theory of types. A close paraphrase of the derivation of the paradox in a contemporary Lemmon-style natural deduction system shows which axioms the theory must assume to govern its characteristic notion of substituting individuals and propositions for each other in other (...)
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  35.  6
    From Descriptive Functions to Sets of Ordered Pairs.Bernard Linsky - 2009 - In Alexander Hieke & Hannes Leitgeb (eds.), Reduction, abstraction, analysis: proceedings of the 31th International Ludwig Wittgenstein-Symposium in Kirchberg, 2008. Frankfurt: de Gruyter. pp. 259-272.
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  36.  17
    Bertrand Russell on modality and logical relevance.Bernard Linsky - 2015 - [North Charleston, South Carolina]: [CreateSpace].
    BERTRAND RUSSELL ON MODALITY AND LOGICAL RELEVANCE - SECOND EDITION of 2015. Praise for the first edition of 1999: "In the twenty-nine years since Russell's death, much of the major scholarship has drawn heavily on his manuscripts and unpublished correspondence. The author shows that the published Russell is capable of new interpretations; in particular, that modal notions such as possibility have a greater place in various aspects of his logical and philosophical thought than has been previously imagined." -Ivor Grattan-Guinness, Foreword (...)
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  37. Acquaintance, Knowledge, and Logic: New Essays on Bertrand Russell's The Problems of Philosophy.Donovan Wishon & Bernard Linsky (eds.) - 2015 - Stanford: CSLI Publications.
    Acquaintance, Knowledge, and Logic (awarded the 2016 Bertrand Russell Society Book Prize) brings together ten new essays on Bertrand Russell's best-known work, The Problems of Philosophy. These essays, by some of the foremost scholars of his life and works, reexamine Russell's famous distinction between “knowledge by acquaintance” and “knowledge by description,” his developing views about our knowledge of physical reality, and his views about our knowledge of logic, mathematics, and other abstract objects. In addition, this volume includes an editors' introduction, (...)
  38.  95
    Two Poles Worlds Apart.Adam Trybus & Bernard Linsky - 2022 - Journal for the History of Analytical Philosophy 10 (5).
    The article describes the background of Roman Ingarden's 1922 review of Leon Chwistek's book Wielość rzeczywistości, and the back-and-forth that followed. Despite the differences, the two shared some interesting similarities. Both authors had important ties to the intellectual happenings outside Poland and were not considerd mainstream at home. In the end, however, it is these connections that allowed them to gain recognition. Ingarden, who had been a student of Husserl, became the leading phenomenologist in the postwar Poland. For Chwistek, a (...)
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  39. Ernst Mally’s Anticipation of Encoding.Bernard Linsky - 2014 - Journal for the History of Analytical Philosophy 2 (5).
    Ernst Mally’s Gegenstandstheoretische Grundlagen der Logik und Logistik (1912) proposes that the abstract object “the circle” does not satisfy the properties of circles, but instead “determines” the class of circles. In this he anticipates the notion of “encoding” that Edward Zalta proposes for his theory of Abstract Objects. It is argued that Mally did anticipate the notion of “encoding”, but sees it as a way of taking the concept as the subject of a proposition, rather than as a primitive notion (...)
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  40.  33
    New Manuscript Leaves and the Printing of the First Edition of Principia Mathematica.Bernard Linsky & Kenneth Blackwell - 2005 - Russell: The Journal of Bertrand Russell Studies 25 (2):141-154.
    Abstract:Three half-leaves of the final manuscript of Principia Mathematica have come to light in the Bertrand Russell Archives. They were originally tucked in Russell’s own copy but avoided archival notice because their versos had been employed for an index of propositions used in theorem *350·62. The leaves form the whole of a folio 152 and the top half of 153 and include *336·51 through part of *336·52, on pages 400–1 of Volume iii. Markings by the Cambridge University Press add to (...)
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  41.  45
    Remarks on Platonized Naturalism.Bernard Linsky - 2005 - Croatian Journal of Philosophy 5 (1):3-15.
    A discussion of views first presented by this author and Edward Zalta in 1995 in the paper “Naturalized Platonism vs. Platonized Naturalism”. That paper presents an application of Zalta’s “object theory” to the ontology of mathematics, and claims that there is a plenitude of abstract objects, all the creatures of distinct mathematical theories. After a summary of the position, two questions concerning the view are singled out for discussion: just how many mathematical objects there are by our account, and the (...)
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  42. A Companion to Analytic Philosophy (review).Bernard Linsky - 2003 - Journal of the History of Philosophy 41 (1):139-140.
    A Companion to Analytic Philosophy is a comprehensive guide to many significant analytic philosophers and concepts of the last hundred years. Provides a comprehensive guide to many of the most significant analytic philosophers of the last one hundred years. Offers clear and extensive analysis of profound concepts such as truth, goodness, knowledge, and beauty. Written by some of the most distinguished philosophers alive, some of whom have entries in the book devoted to them.
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  43.  38
    A note on the "carving up content" principle in Frege's theory of sense.Bernard Linsky - 1991 - Notre Dame Journal of Formal Logic 33 (1):126-135.
    In the Grundlagen Frege says that "line a is parallel to line b" differs from "the direction of a = the direction of b" in that "we carve up the content in a way different from the original way". It seems that such recarving is crucial to Frege's logicist program of defining numbers, but it also seems incompatible with his later theory of sense and reference. I formulate a restriction on recarving, in particular, that no names may be introduced that (...)
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  44.  39
    The Resolution of Russell’s Paradox in Principia Mathematica.Bernard Linsky - 2002 - Noûs 36 (s16):395 - 417.
  45.  48
    Is transmutation possible?Bernard Linsky - 1982 - Philosophical Studies 41 (3):367 - 381.
  46.  17
    Notes and Correspondence for Russell’s 1905 Review of Meinong.Bernard Linsky - 2014 - Russell: The Journal of Bertrand Russell Studies 34 (1).
    Bertrand Russell took fourteen pages of notes on Meinong’s Untersuchungen zur Gegenstandstheorie und Psychologie [Studies in object theory and psychology] in preparation for his review of the book in Mind. Translations of Russell’s letters from Alexius Meinong, Rudolf Ameseder and Ernst Mally discuss their contributions to the volume (with transcriptions of the German originals appended in this journal’s online edition). Together the notes and correspondence record the origin of Russell’s famous criticisms of Mein­ong’s theory of non-existent objects, which appeared in (...)
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  47.  27
    Russell's Logical Form, LF, and Truth Conditions.Bernard Linsky - 2002 - In Gerhard Preyer Georg Peter (ed.), Logical Form and Language. Oxford University Press. pp. 391--408.
  48.  76
    Truth at a world is a modality.Bernard Linsky - 1991 - Philosophia 20 (4):387-394.
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  49.  13
    The Resolution of Russell’s Paradox in Principia Mathematica.Bernard Linsky - 2002 - Noûs 36 (s16):395-417.
  50. Roman Ingarden’s “The Logical Attempt at a New Formulation of Philosophy: A Critical Remark”.Bernard Linsky - 2018 - Journal for the History of Analytical Philosophy 6 (6).
    Translated by Bernard Linsky This is the first English translation of Roman Ingarden’s paper presented at the 8th World Congress of Philosophy held in Prague in 1934: “Der Logistische Versuch einer Neugestaltung der Philosophie: Eine Kritische Bemerkung”, translated here as “The Logical Attempt at a New Formulation of Philosophy: A Critical Remark”. Also translated here are brief discussions by Rudolf Carnap and Otto Neurath. These essays were published in the original German in the Proceedings of the Congress in 1936. This (...)
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