Keywords
philosophy, analytic philosophy, history of philosophy
Abstract
Until relatively recently, the main focus of interest in Russell’s philosophy, has been, I think it is fair to say, on his views from his 1905 paper “On Denoting” through his 1918 lectures ”The Philosophy of Logical Atomism”. Such a focus does not involve distinguishing Russell’s early Moore–influenced post–Idealist position from the views he accepted in the wake of the 1900 Paris Congress or considering the interplay between these two aspects of Russell’s development in his 1903 book, The Principles of Mathematics; nor does it involve any consideration of his concerns with “the problems connected with meaning” that are reflected in such post–1918 publications as “On Propositions: What They Are and How They Mean” or The Analysis of Mind. Recently, there has been a growing awareness that Russell’s post–1918 writings call into question the sort of picture that Rorty presents of the relation of Russell’s philosophy to the views of subsequent figures such as the later Wittgenstein, Quine, and Sellars. As I will argue in this paper, those writings show that by the early 1920’s Russell himself was advocating views—including an anti-foundationalist naturalized epistemology, and a behaviorist–inspired account of what is involved in understanding language—that are more typically associated with philosophers from later decades whom are mistakingly often rpesented as dismantling Russell’s philosophy.
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Recommended Citation
Levine, James
(2008)
"The Mathematical Roots Of Russell’s Naturalism And Behaviorism,"
Baltic International Yearbook of Cognition, Logic and Communication:
Vol. 4.
https://doi.org/10.4148/biyclc.v4i0.134
References
Ayer, A.J. 1971. Russell and Moore: The Analytical Heritage. London and Basingstoke: Macmillan.
Baldwin, Thomas. 1990. G.E. Moore. London and New York: Routledge.
Baldwin, Thomas. 2003. ‘From Knowledge by Acquaintance to Knowledge by Causation’. In Griffin (2003), 420–48.
Beaney, Micheal (ed.). 2007. The Analytic Turn. New York and London: Routledge.
Bell, John L. 2005. The Continuous and the Infinitesimal. Corso, Milano: Polimetrica.
Black, Max. 1937. ‘Vagueness: An Exercise in Logical Analysis’. Philosophy of Science 4: 427–55.
http://dx.doi.org/10.1086/286476
Boyer, Carl. 1949. The Concepts of the Calculus. New York: Hafner Publishing Company. Reprinted as The concepts of the Calculus and its Conceptual Development, New York, Dover Publications, Inc., 1959.
Byrd, Michael. 1987. ‘Part II of The Principles of Mathematics’. Russell n.s. 7: 60–70.
Byrd, Michael. 1994. ‘Part V of The Principles of Mathematics’. Russell n.s. 14: 47–86.
Byrd, Michael. 1996. ‘Parts III–IV of The Principles of Mathematics’. Russell n.s. 16: 145–68.
Byrd, Michael. 1999. ‘Part VI of The Principles of Mathematics’. Russell n.s. 19: 29–61.
Dennett, Daniel. 1981. ‘True Believers’. In ‘The Intentional Stance’, 13–35. Cambridge, Massachusetts: The MIT Press, 1987.
Dreben, Burton. 1996. ‘Quine and Wittgenstein: The Odd Couple’. In Robert L. Arrington & Hans-Johann Glock (eds.) ‘Wittgenstein and Quine’, 39–61. London and New York: Routledge.
Ehrlich, Philip. 2006. ‘The Rise of non–Archimedean Mathematics and the Roots of a Misconception I: The Emergence of non–Archimedean Systems of Magnitudes’. Archive for the History of Exact Sciences 60: 1–121.
http://dx.doi.org/10.1007/s00407-005-0102-4
Faulkner, Nadine. 2003. ‘Russell and Vagueness’. Russell n.s. 23: 43–63.
Frege, Gottlob. 1884. The Foundations of Arithmetic. Evanston, IL: Northwestern University Press. 1978. Translated by J.L. Austin, second revised edition.
Grattan-Guinness. 1996–7. ‘How Did Russell Write The Principles of Mathematics?’ Russell n.s. 16: 101–27.
Griffin, Nicholas. 1991. Russell’s Idealist Apprenticeship. Oxford: Clarendon Press.
Griffin, Nicholas (ed.). 2003. The Cambridge Companion to Bertrand Russell. Cambridge: University Press.
Husserl, Edmund. 1900–1. Logical Investigations. London and New York: Routledge, 2001. Translated by J. N. Findlay, with Preface by Michael Dummett, and edited and with introduction by Dermot Moran.
Hyde, Dominic. 1992. ‘Rehabilitating Russell’. Logique et Analyse 35: 139–73.
Hylton, Peter. 1990. Russell, Idealism and the Emergence of Analytic Philosophy. Oxford: Clarendon Press.
Hylton, Peter. 1996. ‘Beginning with Analysis’. In ‘Propositions, Functions, and Analysis’, 30–48. Oxford: Clarendon Press, 2005.
Hylton, Peter. 2007. “‘On Denoting” and the Idea of a Logically Perfect Language’. In Beaney (2007), 91–106.
Irvine, Andrew D. 1989. ‘Epistemic Logicism and Russell’s Regressive Method’. Philosophical Studies 55: 303–327.
http://dx.doi.org/10.1007/BF00355328
Irvine, Andrew D. 2004. ‘Russell on Method’. In Link (2004), 481–500.
Kitchener, Richard F. 2007. ‘Bertrand Russell’s Naturalistic Epistemology’. Philosophy 82: 115–146.
http://dx.doi.org/10.1017/S0031819107319050
Kohl, Marvin. 1969. ‘Bertrand Russell on Vagueness’. Australasian Journal of Philosophy 47: 31–41.
http://dx.doi.org/10.1080/00048406912341031
Kripke, Saul. 2005. ‘Russell’s Notion of Scope’. Mind 114: 1005–37.
http://dx.doi.org/10.1093/mind/fzi1005
Levine, James. 1998a. ‘Acquaintance, Denoting Concepts, and Sense’. The Philosophical Review 107: 415–45.
http://dx.doi.org/10.2307/2998444
Levine, James. 1998b. ‘From Absolute Idealism to The Principles of Mathematics’. International Journal of Philosophical Studies 6: 87–127.
Levine, James. 2007. ‘Analysis and Abstraction Principles in Russell and Frege’. In Beaney (2007), 51–74.
Link, Godehard (ed.). 2004. One Hundred Years of Russell’s Paradox. Berlin and New York: Walter de Gruyter.
Linsky, Bernard. 2007. ‘Logical Analysis and Logical Construction’. In Beaney (2007), 107–22.
Lugg, Andrew. 2006a. ‘Russell as Precursor to Quine’. The Bertrand Russell Society Quarterly, nos. 128–9. http://www.lehman.edu/deanhum/philosophy/BRSQ/05nov/lugg.htm.
Lugg, Andrew. 2006b. ‘More on Russell and Quine: A Reply to Stevens’. The Bertrand Russell Society Quarterly, nos. 130–1. http://www.lehman.edu/deanhum/philosophy/BRSQ/06may/lugg.htm.
McGee, Vann. 2004. ‘The Many Lives of Ebenezer Wilkes Smith’. In Link (2004), 611–23.
Moore, G. H. & Garciadiego, A. 1981. ‘Burali–Forti’s Paradox: A Reappraisal of its Origins’. Historia Mathematica 8: 319–50.
http://dx.doi.org/10.1016/0315-0860(81)90070-7
Moore, G.E. 1901. ‘Identity’. In Moore (1986), 121–45.
Moore, G.E. 1902. ‘Mr. McTaggart’s ‘Studies in Hegelian Cosmology”. In Moore (1986), 147–84.
Moore, G.E. 1903a. Principia Ethica. Cambridge: University Press.
Moore, G.E. 1903b. ‘The Refutation of Idealism’. In ‘Philosophical Studies’, 1–30. London: Routledge & Kegan Paul Ltd., 1922.
Moore, G.E. 1905–6. ‘Russell’s Principles of Mathematics’. Unpublished typescript in Bertrand Russell Archives.
Moore, G.E. 1925. ‘A Defense of Common Sense’. In Moore (1959).
Moore, G.E. 1939. ‘Proof of an External World’. In Moore (1959).
Moore, G.E. 1953. Some Main Problems of Philosophy. London: George Allen & Unwin Ltd.
Moore, G.E. 1959. Philosophical Papers. London: George Allen & Unwin Ltd.
Moore, G.E. 1986. G.E. Moore: The Early Essays, ed. Tom Regan. Philadelphia: Temple University Press.
Moore, G.H. 1995. ‘The Origins of Russell’s Paradox: Russell, Couturat, and the Antinomy of Infinite Number’. In Jaakko Hintikka (ed.) ‘Essays on the Development of the Foundations of Mathematics’, 215–239. Dordrecht: Kluwer, Academic Publishers.
O’Grady, Paul. 1995. ‘The Russellian Roots of Naturalized Epistemology’. Russell: The Journal of the Russell Archive 15: 53–63.
Pears, David. 1967. Bertrand Russell and the British Tradition in Philosophy. London and Glasgow: Collins/Fontana.
Quine, W.V. 1948. ‘On What There Is’. In ‘From a Logical Point of View’, 1–19. Cambridge, Massachusetts: Harvard University Press, 1953.
Quine, W.V. 1960. Word and Object. Cambridge, Massachusetts: The MIT Press.
Quine, W.V. 1969. Ontological Relativity and Other Essays. New York: Columbia University Press.
Quine, W.V. 1981. Theories and Things. Cambridge, Massachusetts: The Belknap Press.
Quine, W.V. 1992. The Pursuit of Truth. revised ed. Cambridge, Massachusetts: Harvard University Press.
Rolf, Bertil. 1982. ‘Russell’s Theses on Vagueness’. History and Philosophy of Logic 3: 69–83.
http://dx.doi.org/10.1080/01445348208837031
Rorty, Richard. 1979. Philosophy and the Mirror of Nature. Princeton, NJ: Princeton University Press.
Russell, Bertrand. 1898. ‘An Analysis of Mathematical Reasoning’. In Russell (1990), 162–242.
Russell, Bertrand. 1899–1900. ‘The Principles of Mathematics, Draft of 1899–1900’. In Russell (1993), 9–180.
Russell, Bertrand. 1899a. ‘The Axioms of Geometry’. In Russell (1990), 394–415.
Russell, Bertrand. 1899b. ‘The Fundamental Ideas and Axioms of Mathematics’. In Russell (1990), 265–305.
Russell, Bertrand. 1900a. A Critical Exposition of the Philosophy of Leibniz. London: George Allen & Unwin. (PoL).
Russell, Bertrand. 1900b. ‘Is Position in Time Absolute or Relative?’ In Russell (1993), 222–233.
Russell, Bertrand. 1901a. ‘On the Notion of Order’. In Russell (1993), 287–309.
Russell, Bertrand. 1901b. ‘The Notion of Order and Absolute Position in Space and Time’. In Russell (1993), 241–258. Reprinted with translation by G. H. Moore.
Russell, Bertrand. 1901c. ‘Is Position in Time and Space Absolute or Relative?’ In Russell (1993), 261–282.
Russell, Bertrand. 1901d. ‘Recent Work on the Principles of Mathematics’. In Russell (1993), 366–379.
Russell, Bertrand. 1901e. ‘The Logic of Relations with Some Applications to the Theory of Series’. In Russell (1993), 314–49.
Russell, Bertrand. 1901f. ‘Recent Italian Work on the Foundations of Mathematics’. In Russell (1993), 352–62.
Russell, Bertrand. 1903. The Principles of Mathematics. Cambridge: Cambridge University Press, second edition 1937. (PoM).
Russell, Bertrand. 1905. ‘On Denoting’. In Russell (1994), 414–427.
Russell, Bertrand. 1907. ‘The Regressive Method of Discovering the Premises of Mathematics’. In Russell (1973), 272–83.
Russell, Bertrand. 1909. ‘Pragmatism’. In Russell (1992), 260–84.
Russell, Bertrand. 1911a. ‘Analytic Realism’. In Russell (1992), 133–46. Reprinted with translation by André Vellino.
Russell, Bertrand. 1911b. ‘Knowledge by Acquaintance and Knowledge by Description’. In Russell (1992), 148–61.
Russell, Bertrand. 1912. The Problems of Philosophy. Oxford: Home University Library. (Page references are to the 1959 Oxford University Press paper back edition.) (PoP).
Russell, Bertrand. 1913. Theory of Knowledge: The 1913 Manuscript, ed. Elizabeth Eames. Published in 1984, London: George Allen & Unwin.
Russell, Bertrand. 1914a. ‘The Relation of Sense–Data to Physics’. In Russell (1986), 5–26.
Russell, Bertrand. 1914b. ‘On Scientific Method in Philosophy’. In Russell (1986), 57–73.
Russell, Bertrand. 1915. Our Knowledge of the External World. Chicago: Open Court. (OKEW).
Russell, Bertrand. 1918. ‘The Philosophy of Logical Atomism’. In Russell (1986), 160–244. (PLA).
Russell, Bertrand. 1919a. Introduction to Mathematical Philosophy. London: George Allen & Unwin.
Russell, Bertrand. 1919b. ‘On Propositions: What They Are and How They Mean’. In Russell (1986), 278–306.
Russell, Bertrand. 1919c. ‘Professor Dewey’s Essays in Experimental Logic’. In Russell (1986), 134–54.
Russell, Bertrand. 1920a. ‘The Meaning of ‘Meaning”. In Russell (1988), 88–93.
Russell, Bertrand. 1920b. ‘The Wisdom of Our Ancestors’. In Russell (1988), 403–6.
Russell, Bertrand. 1921. The Analysis of Mind. London: George Allen & Unwin.
Russell, Bertrand. 1923a. ‘Vagueness’. In Russell (1988), 147–54.
Russell, Bertrand. 1923b. ‘Review of C.D. Broad, Scientific Thought’. In Russell (1988), 260–5.
Russell, Bertrand. 1924a. ‘Logical Atomism’. In Russell (1988), 162–179.
Russell, Bertrand. 1924b. ‘Philosophy in the Twentieth–Century’. In Russell (1988), 451–66.
Russell, Bertrand. 1926. ‘The Meaning of Meaning’. In Russell (1988), 138–44.
Russell, Bertrand. 1927a. Philosophy. New York: W. W. Norton & Company. (Printed in the UK under the title An Outline of Philosophy).
Russell, Bertrand. 1927b. The Analysis of Matter. London: George Allen & Unwin.
Russell, Bertrand. 1944a. ‘My Mental Development’. In Schilpp (1944), 3–20.
Russell, Bertrand. 1944b. ‘Reply to Criticisms’. In Schilpp (1944), 680–741.
Russell, Bertrand. 1946. History of Western Philosophy. References to the 1961 edition, London: George Allen & Unwin.
Russell, Bertrand. 1950. ‘Logical Postivism’. In Russell (1997), 155–67.
Russell, Bertrand. 1959. My Philosophical Development. New York: Simon and Schuster.
Russell, Bertrand. 1967. The Autobiography of Bertrand Russell: 1872–1914. London: George Allen & Unwin.
Russell, Bertrand. 1968. The Autobiography of Bertrand Russell: 1914–1968. London: George Allen & Unwin.
Russell, Bertrand. 1973. Essays in Analysis, ed. Douglas Lackey. New York: George Braziller.
Russell, Bertrand. 1986. Collected Papers of Bertrand Russell: Volume 8, ed. John G. Slater. London: George Allen & Unwin. (CP8).
Russell, Bertrand. 1988. Collected Papers of Bertrand Russell: Volume 9, ed. John G. Slater, with the assistance of Bernd Frohmann. London: Unwin Hyman. (CP9).
Russell, Bertrand. 1990. Collected Papers of Bertrand Russell: Volume 2, ed. Nicholas Griffin and Albert C. Lewis. London: Routledge. (CP2).
Russell, Bertrand. 1992. Collected Papers of Bertrand Russell: Volume 6, ed. John G. Slater, with the assistance of Bernd Frohmann. London: Routledge. (CP6).
Russell, Bertrand. 1993. The Collected Papers of Bertrand Russell: Volume 3, ed. Gregory H. Moore. London and New York: Routledge. (CP3).
Russell, Bertrand. 1994. The Collected Papers of Bertrand Russell, Volume 4, ed. Alasdair Urquhart. London and New York: Routledge. (CP4).
Russell, Bertrand. 1997. The Collected Papers of Bertrand Russell, Volume 11, ed. John G. Slater with the assistance of Peter Kollner. London and New York: Routledge. (CP11).
Sainsbury, Mark. 1979. Russell. London, Boston, Melbourne and Henley: Routledge & Kegan Paul.
Schilpp, Paul A. (ed.). 1944. The Philosophy of Bertrand Russell. LaSalle, Illinois: Open Court.
Schmid, Anne Francoise (ed.). 2001. Bertrand Russell Correspondence sur la Philosophie, la Logicqe et la Politque avec Louis Couturat, vol. 1. Paris: Kimé.
Schwerin, Alan. 1999a. ‘Some Comments on Russell’s Account of Vagueness’. Contemporary Philosophy 21: 51–7.
Schwerin, Alan. 1999b. ‘A Lady, Her Philosopher, and a Contradiction’. Russell n.s. 19: 5–28.
Stevens, Graham. 2005. The Russellian Origins of Analytical Philosophy. London and New York: Routledge.
Stevens, Graham. 2006a. ‘On Russell’s Naturalism’. Bertrand Russell Society Quarterly, Nos. 130-131. http://www.lehman.edu/deanhum/philosophy/BRSQ/06may/stevens.htm.
Stevens, Graham. 2006b. ‘Russell’s Repsychologising of the Proposition’. Synthese 151: 99–124.
http://dx.doi.org/10.1007/s11229-004-2246-1
Szabó, Zoltán Gendler. 2005. ‘The Loss of Uniqueness’. Mind 114: 1185–222.
Vianelli, Giovani. 2001. ‘A Newly Discovered Text by Russell on Pythagoras and the History of Mathematics’. Russell n.s. 21: 5–30.
Wallace, David Foster. 2003. Everything and More: A Compact History of Infinity. References to the paperback edition, London: Phoenix, 2005.
Whitehead, Alfred North & Russell, Bertrand. 1910. Principia Mathematica, vol. I. Cambridge: Cambridge University Press.
Whitehead, Alfred North & Russell, Bertrand. 1912. Principia Mathematica, vol. II. Cambridge: Cambridge University Press.
Williamson, Timothy. 1994. Vagueness. London and New York: Routledge.
Wittgenstein, Ludwig. 1953. Philosophical Investigations. Oxford: Basil Blackwell. Translated by G. E. M. Anscombe.
Wittgenstein, Ludwig. 1958. The Blue and the Brown Books. New York: Harper & Row.