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Charles Parsons [122]Charles D. Parsons [10]
  1.  86
    Charles Parsons (2007). Mathematical Thought and its Objects. Cambridge University Press.
    In Mathematical Thought and Its Objects, 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.
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  2.  62
    Charles Parsons (2004). Structuralism and Metaphysics. 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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  3. Charles Parsons (1990). The Structuralist View of Mathematical Objects. Synthese 84 (3):303 - 346.
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  4. Charles Parsons (1995). Platonism and Mathematical Intuition in Kurt Gödel's Thought. Bulletin of Symbolic Logic 1 (1):44-74.
  5. Charles Parsons (1974). The Liar Paradox. Journal of Philosophical Logic 3 (4):381 - 412.
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  6.  53
    Charles Parsons (1983). Mathematics in Philosophy: Selected Essays. 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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  7. Charles Parsons (1964). Infinity and Kant's Conception of the "Possibility of Experience". Philosophical Review 73 (2):182-197.
  8.  93
    Charles Parsons (2000). Reason and Intuition. Synthese 125 (3):299-315.
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  9. Charles Parsons (2006). The Problem of Absolute Universality. In Agustín Rayo & Gabriel Uzquiano (eds.), Absolute Generality. Oxford University Press 203--19.
     
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  10.  78
    Charles Parsons (1979). Mathematical Intuition. Proceedings of the Aristotelian Society 80:145 - 168.
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  11. Charles Parsons (1965). Frege's Theory of Numbers. In M. Black (ed.), Philosophy in America. Cornell University Press 180-203.
  12. Charles Parsons (1998). Finitism and Intuitive Knowledge. In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press 249--270.
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  13.  93
    Charles Parsons (1971). A Plea for Substitutional Quantification. Journal of Philosophy 68 (8):231-237.
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  14.  14
    Charles Parsons (1992). 2 The Transcendental Aesthetic. In Paul Guyer (ed.), The Cambridge Companion to Kant. Cambridge University Press 3--62.
  15.  79
    Charles Parsons (1974). Sets and Classes. Noûs 8 (1):1-12.
  16. Charles Parsons (2009). Review Essays. Journal of Philosophy 106 (7).
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  17.  95
    Charles Parsons (1993). On Some Difficulties Concerning Intuition and Intuitive Knowledge. Mind 102 (406):233-246.
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  18. Charles Parsons (1982). Kant's Philosophy of Arithmetic. In Ralph Charles Sutherland Walker (ed.), Kant on Pure Reason. Oxford University Press
  19. Charles Parsons (1982). Substitutional Quantification and Mathematics. [REVIEW] British Journal for the Philosophy of Science 33 (4):409-421.
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  20.  10
    Charles Parsons (1996). Frege. Philosophical Review 105 (4):540-547.
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  21.  55
    Charles Parsons (1982). Objects and Logic. The Monist 65 (4):491-516.
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  22.  8
    Charles Parsons (2010). On Philosophy of Mathematics. The Harvard Review of Philosophy 17 (1):137-150.
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  23.  33
    Charles Parsons (2015). Infinity and a Critical View of Logic. Inquiry 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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  24. Charles Parsons (2010). Gödel and Philosophical Idealism. 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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  25.  14
    Charles Parsons (1968). Hierarchies of Primitive Recursive Functions. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 14 (21-24):357-376.
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  26.  54
    Charles Parsons (1971). Ontology and Mathematics. Philosophical Review 80 (2):151-176.
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  27.  80
    Charles Parsons (1984). Arithmetic and the Categories. Topoi 3 (2):109-121.
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  28.  18
    Charles Parsons (1970). Axiomatization of Åqvist's CS - Logics. Theoria 36 (1):43-64.
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  29.  35
    Charles Parsons (1987). Developing Arithmetic in Set Theory Without Infinity: Some Historical Remarks. 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. Charles Parsons (1972). On 퐧-Quantifier Induction. Journal of Symbolic Logic 37 (3):466 - 482.
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  31. Solomon Feferman, John W. Dawson, Warren Goldfarb, Charles Parsons & Wilfried Sieg (2004). Kurt Gödel Collected Works IV-V: Correspondence. Bulletin of Symbolic Logic 10 (4):558-563.
     
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  32.  23
    Charles Parsons (1982). Intensional Logic in Extensional Language. Journal of Symbolic Logic 47 (2):289-328.
  33. Charles Parsons (1997). Wright on Abstraction and Set Theory. In Richard G. Heck (ed.), Language, Thought, and Logic: Essays in Honour of Michael Dummett. OUP Oxford
     
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  34.  43
    Charles Parsons (1974). Informal Axiomatization, Formalization and the Concept of Truth. Synthese 27 (1-2):27 - 47.
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  35.  28
    Charles Parsons (2012). On Philosophy of Mathematics. The Harvard Review of Philosophy 17 (1):137-150.
  36.  9
    Charles Parsons (1995). Quine and Godel on Analyticity. In Paolo Leonardi & Marco Santambrogio (eds.), On Quine: New Essays. Cambridge University Press 297--313.
  37.  13
    Charles Parsons (1972). Demons, Dreamers, and Madmen: The Defense of Reason in Descartes' Meditations. [REVIEW] Journal of Philosophy 69 (2):38-46.
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  38.  15
    Marie Grossi, Montgomery Link, Katalin Makkai & Charles Parsons (1998). A Bibliography of Hao Wang. 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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  39.  11
    Charles Parsons (1971). Kant's Analytic. [REVIEW] Journal of Philosophy 68 (2):42-51.
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  40.  77
    Charles Parsons (1976). Much Ado About Substitutional Quantification. Journal of Philosophy 73 (18):651-653.
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  41.  49
    Charles Parsons, Evidence and the Hierarchy of Mathematical Theories.
    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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  42.  38
    Charles Parsons (1998). Hao Wang as Philosopher and Interpreter of Gödel. 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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  43.  11
    Charles D. Parsons (1968). Infinity: An Essay in Metaphysics. [REVIEW] Journal of Philosophy 65 (14):431-437.
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  44.  35
    Charles Parsons (1974). On Translating Logic. 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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  45.  58
    Charles Parsons & Herbert R. Kohl (1960). Self-Reference, Truth, and Provability. Mind 69 (273):69-73.
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  46.  56
    Charles Parsons (1996). Special-Issue Book Review. Philosophia Mathematica 4 (2):190-190.
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  47.  26
    Robert May & Charles D. Parsons (2012). Foreward. Journal of Philosophy 109 (1-2):5-8.
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  48. Harry Allison, Karl Ameriks, Lewis White Beck, Lorne Falkenstein, Paul Guyer, Philip Kitcher, Charles Parsons, P. F. Strawson & Allen W. Wood (1998). Kant's Critique of Pure Reason: Critical Essays. 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.  24
    Charles Parsons (2002). W. V. Quine. The Harvard Review of Philosophy 10 (1):6-10.
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  50.  49
    Charles Parsons (2009). William Tait. The Provenance of Pure Reason. Essays on the Philosophy of Mathematics and on its History. Philosophia Mathematica 17 (2):220-247.
    William Tait's standing in the philosophy of mathematics hardly needs to be argued for; for this reason the appearance of this collection is especially welcome. As noted in his Preface, the essays in this book ‘span the years 1981–2002’. The years given are evidently those of publication. One essay was not previously published in its present form, but it is a reworking of papers published during that period. The Introduction, one appendix, and some notes are new. Many of the essays (...)
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