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Charles Parsons [136]Charles D. Parsons [10]
  1.  98
    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.  70
    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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  4.  8
    Frege: Philosophy of Mathematics.Charles Parsons & Michael Dummett - 1996 - Philosophical Review 105 (4):540.
  5. The Liar Paradox.Charles Parsons - 1974 - Journal of Philosophical Logic 3 (4):381 - 412.
  6. Platonism and Mathematical Intuition in Kurt Gödel's Thought.Charles Parsons - 1995 - Bulletin of Symbolic Logic 1 (1):44-74.
  7.  69
    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.
  8. Frege's Theory of Numbers.Charles Parsons - 1965 - In M. Black (ed.), Philosophy in America. Cornell University Press. pp. 180-203.
  9. 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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  10. Infinity and Kant's Conception of the "Possibility of Experience".Charles Parsons - 1964 - Philosophical Review 73 (2):182-197.
  11. Reason and Intuition.Charles Parsons - 2000 - Synthese 125 (3):299-315.
  12. Mathematical Intuition.Charles Parsons - 1979 - Proceedings of the Aristotelian Society 80:145 - 168.
  13.  89
    Sets and Classes.Charles Parsons - 1974 - Noûs 8 (1):1-12.
  14.  33
    2 The Transcendental Aesthetic.Charles Parsons - 1992 - In Paul Guyer (ed.), The Cambridge Companion to Kant. Cambridge University Press. pp. 3--62.
  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. Kant's Philosophy of Arithmetic.Charles Parsons - 1982 - In Ralph Charles Sutherland Walker (ed.), Kant on Pure Reason. Oxford University Press.
  17. A Plea for Substitutional Quantification.Charles Parsons - 1971 - Journal of Philosophy 68 (8):231-237.
  18.  68
    Objects and Logic.Charles Parsons - 1982 - The Monist 65 (4):491-516.
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  19.  1
    On 퐧-Quantifier Induction.Charles Parsons - 1972 - Journal of Symbolic Logic 37 (3):466 - 482.
  20. Review Essays.Charles Parsons - 2009 - Journal of Philosophy 106 (7).
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  21.  99
    On Some Difficulties Concerning Intuition and Intuitive Knowledge.Charles Parsons - 1993 - Mind 102 (406):233-246.
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  22. 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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  23.  1
    On N-Quantifier Induction.Charles Parsons - 1972 - Journal of Symbolic Logic 37 (3):466-482.
  24.  12
    Frege.Charles Parsons - 1996 - Philosophical Review 105 (4):540-547.
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  25. Mathematics in Philosophy.Charles Parsons - 1986 - Philosophy of Science 53 (4):588-606.
     
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  26.  65
    Ontology and Mathematics.Charles Parsons - 1971 - Philosophical Review 80 (2):151-176.
  27.  91
    Arithmetic and the Categories.Charles Parsons - 1984 - Topoi 3 (2):109-121.
  28. Substitutional Quantification and Mathematics. [REVIEW]Charles Parsons - 1982 - British Journal for the Philosophy of Science 33 (4):409-421.
  29.  48
    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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  30.  25
    Intensional Logic in Extensional Language.Charles Parsons - 1982 - Journal of Symbolic Logic 47 (2):289-328.
  31.  2
    X—Mathematical Intuition.Charles Parsons - 1980 - Proceedings of the Aristotelian Society 80 (1):145-168.
  32.  62
    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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  33.  38
    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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  34. Wright on Abstraction and Set Theory.Charles Parsons - 1997 - In Richard G. Heck (ed.), Language, Thought, and Logic: Essays in Honour of Michael Dummett. Oxford University Press.
  35.  13
    In Memoriam: Solomon Feferman.Charles Parsons & Wilfried Sieg - 2017 - Bulletin of Symbolic Logic 23 (3):337-344.
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  36. Kurt Gödel Collected Works IV-V: Correspondence.Solomon Feferman, John W. Dawson, Warren Goldfarb, Charles Parsons & Wilfried Sieg - 2004 - Bulletin of Symbolic Logic 10 (4):558-563.
  37. Mathematics in Philosophy.Charles Parsons - 1987 - Revue Philosophique de la France Et de l'Etranger 177 (1):88-90.
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  38. Quine's Nominalism.Charles Parsons - 2011 - American Philosophical Quarterly 48 (3):213-228.
     
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  39.  2
    Mathematics in Philosophy, Selected Essays.Stewart Shapiro & Charles Parsons - 1983 - Journal of Symbolic Logic 53 (1):320.
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  40.  7
    The Foundations of Mathematics.Charles Parsons & Evert W. Beth - 1961 - Philosophical Review 70 (4):553.
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  41.  13
    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.  43
    Informal Axiomatization, Formalization and the Concept of Truth.Charles Parsons - 1974 - Synthese 27 (1-2):27 - 47.
  43.  25
    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.
  44.  18
    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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  45.  6
    The Nature of Mathematical Knowledge.Charles Parsons & Philip Kitcher - 1986 - Philosophical Review 95 (1):129.
  46.  37
    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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  47.  86
    Much Ado About Substitutional Quantification.Charles Parsons - 1976 - Journal of Philosophy 73 (18):651-653.
  48. 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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  49.  55
    Evidence and the Hierarchy of Mathematical Theories.Charles Parsons - unknown
    It is a well-known fact of mathematical logic, by now developed in considerable detail, that formalized mathematical theories can be ordered by relative interpretability, and the "strength" of a theory is indicated by where it stands in this ordering. Mutual interpretability is an equivalence relation, and what I call an ordering is a partial ordering modulo this equivalence. Of the theories that have been studied, the natural theories belong to a linearly ordered subset of this ordering.
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  50.  16
    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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