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Charles Parsons [97]Charles D. Parsons [7]
  1. 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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  2. 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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  3. Robert May & Charles D. Parsons (2012). Foreward. Journal of Philosophy 109 (1-2):5-8.
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  4. Robert May & Charles D. Parsons (2012). Foreword to the Special Issue on Frege and Contemporary Philosophy. Journal of Philosophy 109 (1):5-8.
    As the history of analytic philosophy is written, Gottlob Frege sits among the pantheon, one of the core creators of a novel way of philosophical thinking. It is a way of thinking that is notably infused with logical and semantic insights that are original to Frege. The source of these insights is well known. They arise in the context of logicism, Frege’s mathematical project that unfolded in a body of thought punctuated by three seminal works, Begriffsschrift of 1879, Die Grundlagen (...)
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  5. Charles Parsons (2012). From Kant to Husserl: Selected Essays. 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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  6. Charles Parsons (2012). On Philosophy of Mathematics. The Harvard Review of Philosophy 17 (1):137-150.
  7. Charles Parsons (2011). Quine's Nominalism. American Philosophical Quarterly 48 (3):213-228.
     
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  8. Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.) (2010). Kurt Gödel: Essays for His Centennial. 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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  9. 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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  10. Charles Parsons (2010). Two Studies in the Reception of Kant's Philosophy of Arithmetic. In Michael Friedman, Mary Domski & Michael Dickson (eds.), Discourse on a New Method: Reinvigorating the Marriage of History and Philosophy of Science. Open Court.
  11. Charles Parsons (2009). Fixing Frege. Journal of Philosophy 106 (7):404-417.
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  12. Charles Parsons (2009). Review Essays. Journal of Philosophy 106 (7).
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  13. Charles Parsons (2009). Logic's Lost Genius: The Life of Gerhard Gentzen. [REVIEW] Isis 100:424-425.
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  14. Charles Parsons (2009). WV Quine. The Harvard Review of Philosophy 10 (1):6-10.
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  15. 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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  16. Charles Parsons (2008). 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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  17. 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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  18. Charles Parsons (2004). Brentano on Judgement and Truth. In Dale Jacquette (ed.), The Cambridge Companion to Brentano. Cambridge University Press. 168.
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  19. 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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  20. Arthur C. Danto, Bernard Berofsky, Isaac Levi & Charles D. Parsons (2003). In Memoriam. Journal of Philosophy 100 (5):272-272.
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  21. Arthur C. Danto, Bernard Berofsky, Isaac Levi & Charles D. Parsons (2003). In Memoriam: James J. Walsh. Journal of Philosophy 100 (5):272 -.
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  22. Dagfinn Follesdal & Charles Parsons (2002). In Memoriam: Willard Van Orman Quine, 1908-2000. Bulletin of Symbolic Logic 8 (1):105-110.
  23. Charles Parsons (2002). W. V. Quine. The Harvard Review of Philosophy 10 (1):6-10.
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  24. Charles Parsons (2001). Husserl and the Linguistic Turn. In Juliet Floyd & Sanford Shieh (eds.), Future Pasts: The Analytic Tradition in Twentieth-Century Philosophy. Oxford University Press. 123--41.
     
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  25. Charles Parsons (2001). Willard Van Orman Quine, 1908-2000. Proceedings and Addresses of the American Philosophical Association 75 (2):121 - 124.
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  26. Charles Parsons (2000). Reason and Intuition. Synthese 125 (3):299-315.
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  27. Charles Parsons (1999). George Boolos. Notre Dame Journal of Formal Logic 40 (1):3-5.
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  28. Charles Parsons (1999). Review of J. P. Burgess and G. A. Rosen, A Subject With No Object. Strategies for Nominalistic Interpretation of Mathematics. [REVIEW] Journal of Symbolic Logic 64 (1):391-394.
  29. Charles Parsons (1999). Review: Penelope Maddy, Naturalism in Mathematics. [REVIEW] Journal of Symbolic Logic 64 (1):391-394.
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  30. Charles Parsons (1999). 1999 Spring Meeting of the Association for Symbolic Logic. Bulletin of Symbolic Logic 5 (4):479-484.
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  31. 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.
     
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  32. 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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  33. Charles Parsons (1998). Finitism and Intuitive Knowledge. In Matthias Schirn (ed.), The Philosophy of Mathematics Today. Clarendon Press. 249--270.
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  34. 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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  35. Charles Parsons (1997). Structuralism and the Concept of Set. In Evandro Agazzi & György Darvas (eds.), Philosophy of Mathematics Today. Kluwer. 171--194.
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  36. 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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  37. Sidney Morgenbesser & Charles Parsons (1996). Hao Wang 1921-1995. Proceedings and Addresses of the American Philosophical Association 70 (2):195 - 197.
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  38. Charles Parsons (1996). Frege. Philosophical Review 105 (4):540-547.
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  39. Charles Parsons (1996). Frege: Philosophy of Mathematics. [REVIEW] Philosophical Review 105 (4):540-547.
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  40. Charles Parsons (1996). In Memoriam: Hao Wang, 1921-1995. Bulletin of Symbolic Logic 2 (1):108-111.
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  41. Charles Parsons (1996). Special-Issue Book Review. Philosophia Mathematica 4 (2):190-190.
  42. Charles Parsons (1995). Platonism and Mathematical Intuition in Kurt Gödel's Thought. Bulletin of Symbolic Logic 1 (1):44-74.
  43. Charles Parsons (1995). Quine and Godel on Analyticity. In Paolo Leonardi & Marco Santambrogio (eds.), On Quine: New Essays. Cambridge University Press. 297--313.
  44. Charles Parsons (1993). On Some Difficulties Concerning Intuition and Intuitive Knowledge. Mind 102 (406):233-246.
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  45. Charles Parsons (1992). The Impredicativity of Induction. In Michael Detlefsen (ed.), Proof, Logic, and Formalization. Routledge. 139--161.
  46. Charles Parsons (1992). 2 The Transcendental Aesthetic. In Paul Guyer (ed.), The Cambridge Companion to Kant. Cambridge University Press. 3--62.
  47. Charles Parsons (1990). Anderson C. Anthony. General Intensional Logic. Handbook of Philosophical Logic, Volume II, Extensions of Classical Logic, Edited by Gabbay D. And Guenthner F., Synthese Library, Vol. 165, D. Reidel Publishing Company, Dordrecht, Boston, and Lancaster, 1984, Pp. 355–385. [REVIEW] Journal of Symbolic Logic 55 (2):892-894.
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  48. Charles Parsons (1990). Genetic Explanation in The Roots of Reference. In Barret And Gibson (ed.), Perspectives on Quine. 273--90.
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  49. Charles Parsons (1990). On Constructive Interpretation of Predicative Mathematics. Garland Pub..
  50. Charles Parsons (1990). Review: C. Anthony Anderson, D. Gabbay, F. Guenthner, General Intensional Logic. [REVIEW] Journal of Symbolic Logic 55 (2):892-894.
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