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RUSSELL AND GÖDEL

  • ALASDAIR URQUHART (a1)
Abstract

This paper surveys the interactions between Russell and Gödel, both personal and intellectual. After a description of Russell’s influence on Gödel, it concludes with a discussion of Russell’s reaction to the incompleteness theorems.

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References
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[1] Anellis, I., Did Gödel’s result come as a surprise to Bertrand Russell? Posting to the FOM email list, March 30, 2010.
[2] Church, A., Russell’s theory of identity of propositions . Philosophia Naturalis, vol. 21 (1984), pp. 513522.
[3] Crawshay-Williams, R., Russell Remembered, Oxford University Press, London, New York, 1970.
[4] Dawson, J. W., Logical Dilemmas: The Life and Work of Kurt Gödel, A.K. Peters, Wellesley, MA, 1997.
[5] Feinberg, B. and Kasrils, R. (eds.), Dear Bertrand Russell… A Selection of his Correspondence with the General Public 1950–1968, George Allen and Unwin Ltd, London, 1969.
[6] Frege, G., Philosophical and Mathematical Correspondence (Gabriel, G., Hermes, H., Kambartel, F., Thiel, C., and Veraart, A., editors), University of Chicago Press, Chicago, 1980, Abridged from the German edition by Brian McGuinness and translated by Hans Kaal.
[7] Gödel, K., Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I . Monatshefte für Mathematik und Physik, vol. 38 (1931), pp. 173198.
[8] Gödel, K., Russell’s mathematical logic , The Philosophy of Bertrand Russell (Library of Living Philosophers Volume 5) (Schilpp, P. A., editor), Northwestern University, Evanston, 1944, pp. 123–153, [10, pp. 119141].
[9] Gödel, K., What is Cantor’s continuum problem? American Mathematical Monthly, vol. 54 (1947), pp. 515–525, [10, pp. 176187].
[10] Gödel, K., Collected Works, Volume II: Publications 1938–1974 (Feferman, S., Dawson, J. W. Jr., Kleene, S. C., Moore, G. H., Solovay, R. M., and van Heijenoort, J., editors), Oxford University Press, New York, 1990.
[11] Gödel, K., Collected Works, Volume III: Unpublished Essays and Lectures (Feferman, S., Dawson, J. W. Jr., Goldfarb, W., Parsons, C., and Solovay, R. M., editors), Oxford University Press, New York, 1995.
[12] Gödel, K., Collected Works, Volume IV: Correspondence A-G (Feferman, S., Dawson, J. W. Jr. (Editors-in-chief), Goldfarb, W., Parsons, C., and Sieg, W., editors), Oxford University Press, New York, 2003.
[13] Gödel, K., Collected Works, Volume V: Correspondence H-Z (Feferman, S., Dawson, J. W. Jr. (Editors-in-chief), Goldfarb, W., Parsons, C., and Sieg, W., editors), Oxford University Press, New York, 2003.
[14] Grattan-Guinness, I., The Search for Mathematical Roots, 1870–1940: Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel, Princeton University Press, Princeton, NJ, 2000.
[15] Henkin, L., Are logic and mathematics identical? Science, vol. 138 (1962), pp. 788794.
[16] Irvine, A. (ed.), Bertrand Russell: Critical Assessments, Volume II: Logic and Mathematics, Routledge, London, New York, 1999.
[17] Pelham, J. and Urquhart, A., Russellian propositions , Logic, Methodology and Philosophy of Science IX, Proceedings of the Ninth International Congress of Logic, Methodology, and Philosophy of Science, Uppsala, Sweden, August 7–14, 1991, North Holland, Amsterdam, New York, 1994, pp. 307326.
[18] Quine, W. V., The Time of My Life: An Autobiography, MIT Press, Cambridge, MA, 1985.
[19] Richards, I. A., Beyond, Harcourt Brace Jovanovich, New York, 1974.
[20] Rodríguez-Consuegra, F., Russell, Gödel and logicism , Philosophy of Mathematics, Proceedings of the 15th International Wittgenstein Symposium, Part 1, 1993, Reprinted in [16], pp. 320–329, pp. 233242.
[21] Russell, B., On Denoting . Mind, vol. 14 (1905), pp. 479493.
[22] Russell, B., Les paradoxes de la logique . Revue de Métaphysique et de Morale, vol. 14 (1906), pp. 627650.
[23] Russell, B., Introduction to Mathematical Philosophy, second ed., George Allen and Unwin, London, 1920.
[24] Russell, B., On order in time . Proceedings of the Cambridge Philosophical Society, vol. 32 (1936), pp. 216228.
[25] Russell, B., The Principles of Mathematics, George Allen and Unwin, London, 1937, Second Edition: First published 1903.
[26] Russell, B., An Inquiry into Meaning and Truth, first ed., W.W. Norton and Company, Inc., New York, 1940.
[27] Russell, B., Logical positivism . Polemic, vol. 1 (1945), pp. 6–13, Reprinted in [35, pp. 148155].
[28] Russell, B., Whitehead and Principia Mathematica . Mind, vol. 57 (1948), pp. 137–138, Reprinted in [35, pp. 190191].
[29] Russell, B., Logical positivism . Revue internationale de philosophie, vol. 4 (1950), pp. 3–19, Reprinted in [30, pp. 323343].
[30] Russell, B., Logic and Knowledge (Marsh, R. C., editor), George Allen and Unwin, London, 1956.
[31] Russell, B., The Autobiography of Bertrand Russell 1914–1944: Volume II, Little, Brown and Company, Boston, Toronto, 1968, An Atlantic Monthly Press Book.
[32] Russell, B., The Autobiography of Bertrand Russell 1944–1967: Volume III, George Allen and Unwin, London, 1969.
[33] Russell, B., Addendum to my ‘Reply to Criticisms’ , The Philosophy of Bertrand Russell (Schilpp, P. A., editor), The Library of Living Philosophers, Volume V, Fourth Edition, Open Court, La Salle, IL, 1971, pp. xviixx.
[34] Russell, B., On ‘Insolubilia’ and their Solution by Symbolic Logic , Essays in Analysis, by Bertrand Russell (Lackey, D., editor), George Braziller, New York, 1973, pp. 190214.
[35] Russell, B., Collected Papers Volume 11: Last Philosophical Testament 1943–1968 (Slater, J. G. with the assistance of Peter Köllner, editor), Routledge, London, New York, 1997.
[36] Russell, B., Collected Papers Volume 5; Toward “Principia Mathematica” 1905–1908 (Moore, G. H., editor), Routledge, London, New York, 2014.
[37] Arthur Schilpp, P. (ed.), The Philosophy of Bertrand Russell, Library of Living Philosophers, vol. 5, Northwestern University, Evanston, IL, 1944.
[38] Urquhart, A., Logic and denotation , Russell vs. Meinong: The legacy of “On denoting” (Griffin, N. and Jacquette, D., editors), Routledge, New York, 2008.
[39] Urquhart, A., Principia Mathematica: The first 100 years , The Palgrave Centenary Companion to Principia Mathematica (Griffin, N. and Linsky, B., editors), Palgrave Macmillan, Houndmills, Basingstoke, Hampshire, 2013, pp. 320.
[40] Wang, H., Some facts about Kurt Gödel . The Journal of Symbolic Logic, vol. 46 (1981), pp. 653659.
[41] Wang, H., Reflections on Kurt Gödel, The MIT Press, Cambridge, Massachusetts, 1987.
[42] North Whitehead, A. and Russell, B., Principia Mathematica, Cambridge University Press, 1910–1913, Volume 1, 1910, Volume 2, 1913, Volume 3, 1913.
[43] North Whitehead, A. and Russell, B., Principia Mathematica Volume 1, second ed., Cambridge University Press, Cambridge, 1927.
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Bulletin of Symbolic Logic
  • ISSN: 1079-8986
  • EISSN: 1943-5894
  • URL: /core/journals/bulletin-of-symbolic-logic
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