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Charles Parsons [130]Charles D. Parsons [11]
  1. Mathematical Thought and its Objects.Charles Parsons - 2007 - Cambridge University Press.
    Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition (...)
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  2. The Structuralist View of Mathematical Objects.Charles Parsons - 1990 - Synthese 84 (3):303 - 346.
  3. The Liar Paradox.Charles Parsons - 1974 - Journal of Philosophical Logic 3 (4):381 - 412.
  4.  18
    Frege: Philosophy of Mathematics. [REVIEW]Charles Parsons - 1996 - Philosophical Review 105 (4):540.
    This work is the long awaited sequel to the author’s classic Frege: Philosophy of Language. But it is not exactly what the author originally planned. He tells us that when he resumed work on the book in the summer of 1989, after a long interruption, he decided to start afresh. The resulting work followed a different plan from the original drafts. The reader does not know what was lost by their abandonment, but clearly much was gained: The present work may (...)
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  5. Frege's Theory of Numbers.Charles Parsons - 1965 - In M. Black (ed.), Philosophy in America. Cornell University Press. pp. 180-203.
  6. X—Mathematical Intuition.Charles Parsons - 1980 - Proceedings of the Aristotelian Society 80 (1):145-168.
  7.  82
    Mathematics in Philosophy: Selected Essays.Charles Parsons - 1983 - Cornell University Press.
    This important book by a major American philosopher brings together eleven essays treating problems in logic and the philosophy of mathematics.
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  8. Platonism and Mathematical Intuition in Kurt Gödel's Thought.Charles Parsons - 1995 - Bulletin of Symbolic Logic 1 (1):44-74.
  9.  86
    Structuralism and Metaphysics.Charles Parsons - 2004 - Philosophical Quarterly 54 (214):56--77.
    I consider different versions of a structuralist view of mathematical objects, according to which characteristic mathematical objects have no more of a 'nature' than is given by the basic relations of a structure in which they reside. My own version of such a view is non-eliminative in the sense that it does not lead to a programme for eliminating reference to mathematical objects. I reply to criticisms of non-eliminative structuralism recently advanced by Keränen and Hellman. In replying to the former, (...)
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  10. Sets and Classes.Charles Parsons - 1974 - Noûs 8 (1):1-12.
  11. Kant's Philosophy of Arithmetic.Charles Parsons - 1982 - In Ralph Charles Sutherland Walker (ed.), Kant on Pure Reason. Oxford University Press.
  12.  59
    2 The Transcendental Aesthetic.Charles Parsons - 1992 - In Paul Guyer (ed.), The Cambridge Companion to Kant. Cambridge University Press. pp. 3--62.
  13.  17
    The Foundations of Mathematics.Charles Parsons & Evert W. Beth - 1961 - Philosophical Review 70 (4):553.
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  14. Infinity and Kant's Conception of the "Possibility of Experience".Charles Parsons - 1964 - Philosophical Review 73 (2):182-197.
  15. Finitism and Intuitive Knowledge.Charles Parsons - 1998 - In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press. pp. 249--270.
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  16.  18
    Frege.Charles Parsons - 1996 - Philosophical Review 105 (4):540-547.
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  17. A Plea for Substitutional Quantification.Charles Parsons - 1971 - Journal of Philosophy 68 (8):231-237.
  18. The Problem of Absolute Universality.Charles Parsons - 2006 - In Agustín Rayo & Gabriel Uzquiano (eds.), Absolute Generality. Oxford University Press. pp. 203--19.
     
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  19.  18
    Kant’s Analytic. [REVIEW]Charles Parsons - 1971 - Journal of Philosophy 68 (2):42-51.
  20. Reason and Intuition.Charles Parsons - 2000 - Synthese 125 (3):299-315.
  21.  71
    Ontology and Mathematics.Charles Parsons - 1971 - Philosophical Review 80 (2):151-176.
  22. Arithmetic and the Categories.Charles Parsons - 1984 - Topoi 3 (2):109-121.
  23. On Some Difficulties Concerning Intuition and Intuitive Knowledge.Charles Parsons - 1993 - Mind 102 (406):233-246.
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  24.  6
    On 퐧-Quantifier Induction.Charles Parsons - 1972 - Journal of Symbolic Logic 37 (3):466 - 482.
  25.  5
    On N-Quantifier Induction.Charles Parsons - 1972 - Journal of Symbolic Logic 37 (3):466-482.
  26.  83
    Objects and Logic.Charles Parsons - 1982 - The Monist 65 (4):491-516.
    The language of mathematics speaks of objects. This is a rather trivial statement; it is not certain that we can conceive any developed language that does not. What is of interest is that, taken at face value, mathematical language speaks of objects distinctively mathematical in character: numbers, functions, sets, geometric figures, and the like. To begin with they are distinctive in being abstract.
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  27. Gödel and Philosophical Idealism.Charles Parsons - 2010 - Philosophia Mathematica 18 (2):166-192.
    Kurt Gödel made many affirmations of robust realism but also showed serious engagement with the idealist tradition, especially with Leibniz, Kant, and Husserl. The root of this apparently paradoxical attitude is his conviction of the power of reason. The paper explores the question of how Gödel read Kant. His argument that relativity theory supports the idea of the ideality of time is discussed critically, in particular attempting to explain the assertion that science can go beyond the appearances and ‘approach the (...)
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  28.  33
    Intensional Logic in Extensional Language.Charles Parsons - 1982 - Journal of Symbolic Logic 47 (2):289-328.
  29.  47
    Developing Arithmetic in Set Theory Without Infinity: Some Historical Remarks.Charles Parsons - 1987 - History and Philosophy of Logic 8 (2):201-213.
    In this paper some of the history of the development of arithmetic in set theory is traced, particularly with reference to the problem of avoiding the assumption of an infinite set. Although the standard method of singling out a sequence of sets to be the natural numbers goes back to Zermelo, its development was more tortuous than is generally believed. We consider the development in the light of three desiderata for a solution and argue that they can probably not all (...)
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  30.  14
    Brentano on Judgement and Truth.Charles Parsons - 2004 - In Dale Jacquette (ed.), The Cambridge Companion to Brentano. Cambridge University Press. pp. 168.
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  31. From Kant to Husserl: Selected Essays.Charles Parsons - 2012 - Harvard University Press.
    The transcendental aesthetic -- Arithmetic and the categories -- Remarks on pure natural science -- Two studies in the reception of Kant's philosophy of arithmetic: postscript to part I -- Some remarks on Frege's conception of extension -- Postscript to essay 5 -- Frege's correspondence: postscript to essay 6 -- Brentano on judgment and truth -- Husserl and the linguistic turn.
     
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  32.  33
    Structuralism and the Concept of Set.Charles Parsons - 1997 - In Evandro Agazzi & György Darvas (eds.), Philosophy of Mathematics Today. Kluwer Academic Publishers. pp. 171--194.
  33. Quine's Nominalism.Charles Parsons - 2011 - American Philosophical Quarterly 48 (3):213-228.
     
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  34.  7
    Translations From the Philosophical Writings of Gottlob Frege.Charles Parsons - 1981 - Journal of Symbolic Logic 46 (4):870-871.
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  35.  61
    Kurt Gödel: Essays for His Centennial.Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.) - 2010 - Association for Symbolic Logic.
    Machine generated contents note: Part I. General: 1. The Gödel editorial project: a synopsis Solomon Feferman; 2. Future tasks for Gödel scholars John W. Dawson, Jr., and Cheryl A. Dawson; Part II. Proof Theory: 3. Kurt Gödel and the metamathematical tradition Jeremy Avigad; 4. Only two letters: the correspondence between Herbrand and Gödel Wilfried Sieg; 5. Gödel's reformulation of Gentzen's first consistency proof for arithmetic: the no-counter-example interpretation W. W. Tait; 6. Gödel on intuition and on Hilbert's finitism W. W. (...)
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  36.  50
    Informal Axiomatization, Formalization and the Concept of Truth.Charles Parsons - 1974 - Synthese 27 (1-2):27 - 47.
  37.  75
    Infinity and a Critical View of Logic.Charles Parsons - 2015 - Inquiry: An Interdisciplinary Journal of Philosophy 58 (1):1-19.
    The paper explores the view that in mathematics, in particular where the infinite is involved, the application of classical logic to statements involving the infinite cannot be taken for granted. L. E. J. Brouwer’s well-known rejection of classical logic is sketched, and the views of David Hilbert and especially Hermann Weyl, both of whom used classical logic in their mathematical practice, are explored. We inquire whether arguments for a critical view can be found that are independent of constructivist premises and (...)
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  38. Substitutional Quantification and Mathematics. [REVIEW]Charles Parsons - 1982 - British Journal for the Philosophy of Science 33 (4):409-421.
  39.  69
    Hao Wang as Philosopher and Interpreter of Gödel.Charles Parsons - 1998 - Philosophia Mathematica 6 (1):3-24.
    The paper undertakes to characterize Hao Wang's style, convictions, and method as a philosopher, centering on his most important philosophical work From Mathematics to Philosophy, 1974. The descriptive character of Wang's characteristic method is emphasized. Some specific achievements are discussed: his analyses of the concept of set, his discussion, in connection with setting forth Gödel's views, of minds and machines, and his concept of ‘analytic empiricism’ used to criticize Carnap and Quine. Wang's work as interpreter of Gödel's thought and the (...)
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  40.  25
    The Nature of Mathematical Knowledge.Charles Parsons - 1986 - Philosophical Review 95 (1):129.
  41.  28
    Quine and Godel on Analyticity.Charles Parsons - 1995 - In Paolo Leonardi & Marco Santambrogio (eds.), On Quine: New Essays. Cambridge University Press. pp. 297--313.
  42.  39
    A Bibliography of Hao Wang.Marie Grossi, Montgomery Link, Katalin Makkai & Charles Parsons - 1998 - Philosophia Mathematica 6 (1):25-38.
    A listing is given of the published writings of the logician and philosopher Hao Wang , which includes all items known to the authors, including writings in Chinese and translations into other languages.
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  43.  9
    A Propositional Calculus Intermediate Between the Minimal Calculus and the Classical.Charles Parsons - 1966 - Notre Dame Journal of Formal Logic 7 (4):353-358.
  44.  21
    Hierarchies of Primitive Recursive Functions.Charles Parsons - 1968 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 14 (21-24):357-376.
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  45.  41
    On Translating Logic.Charles Parsons - 1974 - Synthese 27 (3-4):405 - 411.
    The paper comments on Dummett's Significance of Quine's Indeterminacy Thesis and discusses Quine's views on the translation of logical connectives. Some difficulties about the latter related to those raised by Morton (J. Phil. 70 (1973), 503–510) are considered. Quine seems here to be in a position considered by Dummett of not allowing a foreigner to be translated as conflicting with one's own firm theoretical commitment (in this case classical logic). But Dummett seems wrong in holding that entrenched theoretical statements must (...)
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  46.  8
    Hierarchies of Primitive Recursive Functions.Charles Parsons - 1968 - Mathematical Logic Quarterly 14 (21‐24):357-376.
  47.  92
    Much Ado About Substitutional Quantification.Charles Parsons - 1976 - Journal of Philosophy 73 (18):651-653.
  48.  23
    Demons, Dreamers, and Madmen: The Defense of Reason in Descartes' Meditations.Charles Parsons - 1972 - Journal of Philosophy 69 (2):38-46.
  49. Kant's Critique of Pure Reason: Critical Essays.Harry Allison, Karl Ameriks, Lewis White Beck, Lorne Falkenstein, Paul Guyer, Philip Kitcher, Charles Parsons, P. F. Strawson & Allen W. Wood - 1998 - Rowman & Littlefield Publishers.
    The central project of the Critique of Pure Reason is to answer two sets of questions: What can we know and how can we know it? and What can't we know and why can't we know it? The essays in this collection are intended to help students read the Critique of Pure Reason with a greater understanding of its central themes and arguments, and with some awareness of important lines of criticism of those themes and arguments.
     
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  50.  39
    Review Article.Charles Parsons - 1982 - Synthese 52 (2):325-343.
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