Results for 'And Charles Parsons'

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  1. Reply to Charles Parsons' ``Sets and Classes''.George Boolos - 1998 - In Richard Jeffrey (ed.), Logic, Logic, and Logic. Harvard University Press. pp. 30-36.
  2. Charles Parsons: Mathematical Thought and Its Object.Peter Smith - 2009
     
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  3. Charles Parsons. Mathematical Thought and its Objects.John P. Burgess - 2008 - Philosophia Mathematica 16 (3):402-409.
    This long-awaited volume is a must-read for anyone with a serious interest in philosophy of mathematics. The book falls into two parts, with the primary focus of the first on ontology and structuralism, and the second on intuition and epistemology, though with many links between them. The style throughout involves unhurried examination from several points of view of each issue addressed, before reaching a guarded conclusion. A wealth of material is set before the reader along the way, but a reviewer (...)
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  4. Charles Parsons: Mathematical Thought and its Objects: Cambridge University Press, Cambridge MA, 2008, Xx+378, $50.00, ISBN 9780521452793. [REVIEW]Giuseppe Primiero - 2010 - Minds and Machines 20 (2):311-315.
  5.  23
    Charles Parsons. Brouwer, Luitzen Egbertus Jan. The Encyclopedia of Philosophy, Edited by Paul Edwards, The Macmillan Company & The Free Press, New York, and Collier-Macmillan Limited, London, 1967, Vol. 1, Pp. 399–401. [REVIEW]William Craig - 1970 - Journal of Symbolic Logic 35 (2):297.
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  6.  30
    Charles Parsons. Mathematics, Foundations Of. The Encyclopedia of Philosophy, Edited by Paul Edwards, The Macmillan Company & The Free Press, New York, and Collier-Macmillan Limited, London, 1967, Vol. 5, Pp. 188–213. [REVIEW]William Craig - 1970 - Journal of Symbolic Logic 35 (2):300.
  7.  10
    Review: Charles Parsons, Herbert R. Kohl, Self-Reference, Truth, and Provability. [REVIEW]Alonzo Church - 1960 - Journal of Symbolic Logic 25 (1):86-86.
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  8.  21
    Charles Parsons. On a Number Theoretic Choice Schema and its Relation to Induction. Intuitionism and Proof Theory, Proceedings of the Summer Conference at Buffalo N.Y. 1968, Edited by A. Kino, J. Myhill, and R. E. Vesley, Studies in Logic and the Foundations of Mathematics, North-Holland Publishing Company, Amsterdam and London 1970, Pp. 459–473. - Charles Parsons. Review of the Foregoing. Zentralblatt Für Mathematik and Ihre Grenzgebiete, Vol. 202 , Pp. 12–13. - Charles Parsons. On N-Quantifier Induction. The Journal of Symbolic Logic, Vol. 37 , Pp. 466–482. [REVIEW]Helmut Schwichtenberg - 1974 - Journal of Symbolic Logic 39 (2):342.
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  9.  9
    Review: Charles Parsons, A. Kino, J. Myhill, R. E. Vesley, On a Number Theoretic Choice Schema and its Relation to Induction; Charles Parsons, Review of the Foregoing; Charles Parsons, On $N$-Quantifier Induction. [REVIEW]Helmut Schwichtenberg - 1974 - Journal of Symbolic Logic 39 (2):342-342.
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  10.  80
    Between Logic and Intuition: Essays in Honor of Charles Parsons.Gila Sher & Richard Tieszen (eds.) - 2000 - Cambridge University Press.
    This collection of new essays offers a 'state-of-the-art' conspectus of major trends in the philosophy of logic and philosophy of mathematics. A distinguished group of philosophers addresses issues at the centre of contemporary debate: semantic and set-theoretic paradoxes, the set/class distinction, foundations of set theory, mathematical intuition and many others. The volume includes Hilary Putnam's 1995 Alfred Tarski lectures, published here for the first time.
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  11. Gödel's Correspondence on Proof Theory and Constructive Mathematics †Charles Parsons Read Part of an Early Draft of This Review and Made Important Corrections and Suggestions.William W. Tait - 2006 - Philosophia Mathematica 14 (1):76-111.
  12.  6
    Mathematical Intuition and Natural Numbers: A Critical Discussion: Charles Parsons, Mathematical Thought and Its Objects, Cambridge University Press, New York, 2008, Xx+ 378 Pp. [REVIEW]Felix Mühlhölzer - 2010 - Erkenntnis 73 (2):265-292.
    Charles Parsons’ book “Mathematical Thought and Its Objects” of 2008 is critically discussed by concentrating on one of Parsons’ main themes: the role of intuition in our understanding of arithmetic. Parsons argues for a version of structuralism which is restricted by the condition that some paradigmatic structure should be presented that makes clear the actual existence of structures of the necessary sort. Parsons’ paradigmatic structure is the so-called ‘intuitive model’ of arithmetic realized by Hilbert’s strings (...)
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  13. 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 (...)
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  14.  70
    Between Logic and Intuition: Essays in Honor of Charles Parsons.W. D. Hart - 2001 - Mind 110 (440):1119-1123.
  15.  5
    Solomon Feferman, Charles Parsons, and Steven G. Simpson, Eds.: Kurt Gödel: Essays for His Centennial.Paolo Mancosu - 2011 - Journal of Philosophy 108 (11):642-646.
  16. Review of Charles Parsons: Mathematical Thought and its Objects. [REVIEW]John Burgess - manuscript
    This long-awaited volume is a must-read for anyone with a serious interest in\nphilosophy of mathematics. The book falls into two parts, with the primary focus of\nthe first on ontology and structuralism, and the second on intuition and\nepistemology, though with many links between them. The style throughout involves\nunhurried examination from several points of view of each issue addressed, before\nreaching a guarded conclusion. A wealth of material is set before the reader along\nthe way, but a reviewer wishing to summarize the author’s views (...)
     
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  17.  29
    A Bibliography of Hao Wang.Marie Grossi, Montgomery Link, Katalin Makkai & And Charles Parsons - 1998 - Philosophia Mathematica 6 (1):25-38.
    A listing is given of the published writings of the logician and philosopher Hao Wang (1921—1995), which includes all items known to the authors, including writings in Chinese and translations into other languages.
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  18. Mathematical Intuition and Natural Numbers: A Critical Discussion: Charles Parsons, Mathematical Thought and Its Objects, Cambridge University Press, New York, 2008, Xx + 378 Pp.Felix Mühlhölzer - 2010 - Erkenntnis 73 (2):265-292.
    Charles Parsons’ book “Mathematical Thought and Its Objects” of 2008 (Cambridge University Press, New York) is critically discussed by concentrating on one of Parsons’ main themes: the role of intuition in our understanding of arithmetic (“intuition” in the specific sense of Kant and Hilbert). Parsons argues for a version of structuralism which is restricted by the condition that some paradigmatic structure should be presented that makes clear the actual existence of structures of the necessary sort. (...)’ paradigmatic structure is the so-called ‘intuitive model’ of arithmetic realized by Hilbert’s strings of strokes. This paper argues that Hilbert’s strings, considered as given in intuition, cannot play the role Parsons assigns to them: the criteria of identity of these strings do not have the sharpness that Parsons wants to see in them, and Parsons inadvertently projects abstract structures into his ‘intuitive model’. This diagnosis is exemplified with respect to (a) Parsons’ distinction between addition and multiplication on the one hand and exponentiation on the other and (b) his analysis of arithmetical knowledge in simple cases like “7 + 5 = 12”. All in all, it is claimed that Parsons book contains many important insights with respect to, for example, different versions structuralism, the notion of “natural number” and its uniqueness, induction, predicativity and other things, for which he is rightly famous, but that his way of drawing on the notion of intuition leaves too many questions unanswered. (shrink)
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  19.  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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  20.  89
    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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  21. Platonism and Mathematical Intuition in Kurt Gödel's Thought.Charles Parsons - 1995 - Bulletin of Symbolic Logic 1 (1):44-74.
  22. 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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  23.  17
    Crispin Wright. On the Philosophical Significance of Frege's Theorem. Language, Thought, and Logic, Essays in Honour of Michael Dummett, Edited by Richard G. HeckJnr., Oxford University Press, Oxford and New York 1998 , Pp. 201–244. - George Boolos. Is Hume's Principle Analytic? Language, Thought, and Logic, Essays in Honour of Michael Dummett, Edited by Richard G. HeckJnr., Oxford University Press, Oxford and New York 1998 , Pp. 245–261. - Charles Parsons. Wright on Abstraction and Set Theory. Language, Thought, and Logic, Essays in Honour of Michael Dummett, Edited by Richard G. HeckJnr., Oxford University Press, Oxford and New York 1998 , Pp. 263–271. - Richard G. HeckJnr. The Julius Caesar Objection. Language, Thought, and Logic, Essays in Honour of Michael Dummett, Edited by Richard G. HeckJnr., Oxford University Press, Oxford and New York 1998 , Pp. 273–308. [REVIEW]William Demopoulos - 1998 - Journal of Symbolic Logic 63 (4):1598-1602.
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  24. Sets and Classes.Charles Parsons - 1974 - Noûs 8 (1):1-12.
  25. Arithmetic and the Categories.Charles Parsons - 1984 - Topoi 3 (2):109-121.
  26.  10
    Kurt Gödel. Collected Works. Volume 1: Publications, 1929–1936. Edited by, Solomon Feferman, John W. Dawson, Jr., Stephen C. Kleene, Gregory H. Moore, Robert M. Solovay, and Jean van Heijenoort. Xviii + 474 Pp., Frontis., Illus., Bibl., Index. 1986. Oxford/New York: Oxford University Press, 2001. $34.95 .Kurt Gödel. Collected Works. Volume 2: Publications, 1938–1974. Edited by, Solomon Feferman, John W. Dawson, Jr., Charles Parsons, Robert M. Solovay, and Jean van Heijenoort. Xv + 407 Pp., Frontis., Illus., Bibl., Index. 1990. Oxford/New York: Oxford University Press, 2001. $34.95 .Kurt Gödel. Collected Works. Volume 3: Unpublished Essays and Lectures. Edited by, Solomon Feferman, John W. Dawson, Jr., Charles Parsons, and Robert M. Solovay. Xx + 532 Pp., Frontis., Illus., Bibl., Index. 1995. Oxford/New York: Oxford University Press, 2001. $39.95. [REVIEW]Louise Golland - 2002 - Isis 93 (3):517-518.
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  27.  4
    Kurt Gödel. Essays for His Centennial, Edited by Solomon Feferman, Charles Parsons, and Stephen G. Simpson, Cambridge University Press, Cambridge and Others, 2010, X + 373 Pp. [REVIEW]Matthias Wille - 2011 - Bulletin of Symbolic Logic 17 (1):125-126.
  28.  87
    Mathematical Thought and its Objects, by Charles Parsons.Giuseppe Primiero - unknown
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  29.  12
    Kurt Gödel. Collected Works. Volume 4: Correspondence, A–G. Edited by, Solomon Feferman, John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and Wilfried Sieg. Xix + 662 Pp., Frontis., Illus., Bibl., Index. Oxford/New York: Oxford University Press, 2003. $110 .Kurt Gödel. Collected Works. Volume 5: Correspondence, H–Z. Edited by, Solomon Feferman, John W. Dawson, Jr., Warren Goldfarb, Charles Parsons, and Wilfried Sieg. Xxiii + 664 Pp., Frontis., Illus., Bibl., Index. Oxford/New York: Oxford University Press, 2003. $130. [REVIEW]Albert C. Lewis - 2004 - Isis 95 (1):162-163.
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  30. 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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  31. Between Logic and Intuition. Essays in Honor of Charles Parsons.Gila Sher & Richard Tieszen - 2001 - Tijdschrift Voor Filosofie 63 (3):634-634.
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  32. Infinity and Kant's Conception of the "Possibility of Experience".Charles Parsons - 1964 - Philosophical Review 73 (2):182-197.
  33.  73
    Ontology and Mathematics.Charles Parsons - 1971 - Philosophical Review 80 (2):151-176.
  34. Reason and Intuition.Charles Parsons - 2000 - Synthese 125 (3):299-315.
  35.  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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  36.  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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  37.  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.
  38.  23
    Demons, Dreamers, and Madmen: The Defense of Reason in Descartes' Meditations.Charles Parsons - 1972 - Journal of Philosophy 69 (2):38-46.
  39.  77
    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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  40. On Some Difficulties Concerning Intuition and Intuitive Knowledge.Charles Parsons - 1993 - Mind 102 (406):233-246.
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  41.  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.
  42.  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.
  43.  51
    Informal Axiomatization, Formalization and the Concept of Truth.Charles Parsons - 1974 - Synthese 27 (1-2):27 - 47.
  44.  70
    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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  45.  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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  46.  83
    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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  47.  63
    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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  48. Substitutional Quantification and Mathematics. [REVIEW]Charles Parsons - 1982 - British Journal for the Philosophy of Science 33 (4):409-421.
  49.  18
    Charles Mollan , William Parsons, 3rd Earl of Rosse: Astronomy and the Castle in Nineteenth-Century Ireland. Manchester: Manchester University Press, 2014. Pp. Xxii + 368. ISBN 978-0-7190-9144-5. £70.00. [REVIEW]Adrian James Kirwan - 2015 - British Journal for the History of Science 48 (4):699-700.
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  50.  6
    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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