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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.  24
    Russell's Metaphysical Logic.Bernard Linsky - 1999 - Center for the Study of Language and Inf.
  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.  79
    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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  7.  50
    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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  8. General Terms as Designators.Bernard Linsky - 1984 - Pacific Philosophical Quarterly 65 (3):259.
     
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  9. 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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  10.  23
    The Evolution of Principia Mathematica: Bertrand Russell's Manuscripts and Notes for the Second Edition.Bernard Linsky - 2011 - 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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  11.  12
    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 actually succeed in answering this argument. We think they don’t, and offer instead (...)
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  12.  64
    What is Frege's Theory of Descriptions?Bernard Linsky & Jeffry Pelletier - 2005 - In 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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  13.  79
    The Place of The Problems of Philosophy in Philosophy.Donovan Wishon & Bernard Linsky - 2015 - In Acquaintance, Knowledge, and Logic: New Essays on Bertrand Russell's The Problems of Philosophy.
    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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  14. 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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  15.  21
    Was the Axiom of Reducibility a Principle of Logic?Bernard Linsky - 1990 - Russell: The Journal of Bertrand Russell Studies 10 (2):125.
  16.  52
    Factives, Blindspots and Some Paradoxes.Bernard Linsky - 1986 - Analysis 46 (1):10 - 15.
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  17.  30
    Propositional Functions and Universals in Principia Mathematica.Bernard Linsky - 1988 - Australasian Journal of Philosophy 66 (4):447 – 460.
  18.  37
    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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  19.  6
    The Worlds of Possibility: Modal Realism and the Semantics of Modal Logic.Bernard Linsky - 2001 - Philosophy and Phenomenological Research 63 (2):483-486.
  20.  13
    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 off-prints 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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  21.  41
    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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  22.  8
    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).
    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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  23.  52
    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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  24.  18
    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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  25.  23
    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).
    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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  26.  5
    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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  27.  29
    Review: General Terms as Rigid Designators. [REVIEW]Bernard Linsky - 2006 - Philosophical Studies 128 (3):655 - 667.
  28.  9
    Notes and Correspondence for Russell’s 1905 Review of Meinong.Bernard Linsky - 2014 - Russell: The Journal of Bertrand Russell Studies 34 (1).
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  29.  33
    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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  30.  84
    Phenomenal Qualities and the Identity of Indistinguishables.Bernard Linsky - 1984 - Synthese 59 (June):363-380.
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  31.  14
    Logical Constructions.Bernard Linsky - 2008 - Stanford Encyclopedia of Philosophy.
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  32.  6
    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 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 ofObjects. 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 in the theory (...)
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  33.  53
    Truth at a World is a Modality.Bernard Linsky - 1991 - Philosophia 20 (4):387-394.
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  34.  26
    The Resolution of Russell’s Paradox in Principia Mathematica.Bernard Linsky - 2002 - Noûs 36 (s16):395 - 417.
  35.  54
    Russell And Frege On The Logic of Functions.Bernard Linsky - 2008 - The Baltic International Yearbook of Cognition, Logic and Communication 4:1-17.
    I compare Russell’s theory of mathematical functions, the “descriptive functions” from Principia Mathematica ∗30, with Frege’s well known account of functions as “unsaturated” entities. Russell analyses functional terms with propositional functions and the theory of definite descriptions. This is the primary technical role of the theory of descriptions in P M . In Principles of Mathematics and some unpublished writings from before 1905, Russell offered explicit criticisms of Frege’s account of functions. Consequenly, the theory of descriptions in “On Denoting” can (...)
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  36.  24
    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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  37.  7
    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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  38.  16
    Russell And Frege On The Logic of Functions.Bernard Linsky - 2008 - The Baltic International Yearbook of Cognition, Logic and Communication 4.
    I compare Russell’s theory of mathematical functions, the “descriptive functions” from Principia Mathematica ∗30, with Frege’s well known account of functions as “unsaturated” entities. Russell analyses functional terms with propositional functions and the theory of definite descriptions. This is the primary technical role of the theory of descriptions in P M. In Principles of Mathematics and some unpublished writings from before 1905, Russell offered explicit criticisms of Frege’s account of functions. Consequenly, the theory of descriptions in “On Denoting” can be (...)
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  39.  15
    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.
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  40.  30
    Is Transmutation Possible?Bernard Linsky - 1982 - Philosophical Studies 41 (3):367 - 381.
  41.  3
    Critical Notice.Bernard Linsky - 1984 - Canadian Journal of Philosophy 14 (3):499-515.
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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. Principia Mathematica at 100.Kenneth Blackwell, Nicholas Griffin & Bernard Linsky (eds.) - 2011 - Bertrand Russell Research Centre.
  44. Preface.Nicholas Griffin & Bernard Linsky - 2011 - Russell: The Journal of Bertrand Russell Studies 31 (1).
     
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  45.  4
    Preface: Principia Mathematica at 100.Nicholas Griffin & Bernard Linsky - 2011 - Russell: The Journal of Bertrand Russell Studies 31 (1).
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  46. Alfred Tarski, Logic, Semantics, Metamathematics Reviewed By.Bernard Linsky - 1985 - Philosophy in Review 5 (8):368-368.
     
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  47. Alfred Tarski, Logic, Semantics, Metamathematics. [REVIEW]Bernard Linsky - 1985 - Philosophy in Review 5:368-368.
     
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  48.  10
    Book Reviews. [REVIEW]Bernard Linsky - 1996 - Philosophia Mathematica 4 (1):73-78.
  49.  16
    Bertrand Russell John G. Slater Bristol: Thoemmes, 1994, Xii + 171 Pp., $67.50; Paper $26.95. [REVIEW]Bernard Linsky - 1997 - Dialogue 36 (1):207-.
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  50. Bertrand Russell, The Philosophy of Logical Atomism, Edited with an Introduction by DF Pears Reviewed By.Bernard Linsky - 1986 - Philosophy in Review 6 (3):138-138.
     
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