Linked bibliography for the SEP article "Russell’s Paradox" by Andrew David Irvine and Harry Deutsch

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If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.

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Anderson, C. Anthony, 1989. “Russellian Intensional Logic,” in Joseph Almog, John Perry and Howard Wettstein (eds), Themes from Kaplan, Oxford: Oxford University Press, 67–103. (Scholar)
Barwise, Jon, 1975. Admissible Sets and Structures, Berlin: Springer-Verlag. (Scholar)
––– and John Etchemendy, 1987. The Liar: An Essay on Truth and Circularity, Oxford: Oxford University Press. (Scholar)
––– and Lawrence Moss, 1996. Vicious Circles, Stanford: CSLI Publications. (Scholar)
Bealer, George, 1982. Quality and Concept, New York: Oxford University Press. (Scholar)
Beaney, Michael, 2003. “Russell and Frege,” in Nicholas Griffin (ed.), The Cambridge Companion to Bertrand Russell, Cambridge: Cambridge University Press, 128–170. (Scholar)
Cantini, Andrea, 2004. “On a Russellian Paradox about Propositions and Truth,” in Godehard Link (ed.) (2004) One Hundred Years of Russell’s Paradox, Berlin and New York: Walter de Gruyter, 259–284. (Scholar)
–––, 2009. “Paradoxes, Self-Reference and Truth in the 20th Century,” in Dov M. Gabbay and John Woods (eds) (2009) Handbook of the History of Logic: Volume 5 – Logic From Russell to Church, Amsterdam: Elsevier/North Holland, 875–1013. (Scholar)
Church, Alonzo, 1974a. “Russellian Simple Type Theory,” Proceedings and Addresses of the American Philosophical Association, 47: 21–33. (Scholar)
–––, 1974b. “Set Theory with a Universal Set,” Proceedings of the Tarski Symposium, 297–308; repr. in International Logic Review, 15: 11–23. (Scholar)
–––, 1978. “A Comparison of Russell’s Resolution of the Semantical Antinomies with that of Tarski,” Journal of Symbolic Logic, 41: 747–760; repr. in A.D. Irvine, Bertrand Russell: Critical Assessments, vol. 2, New York and London: Routledge, 1999, 96–112. (Scholar)
Coffa, Alberto, 1979. “The Humble Origins of Russell’s Paradox,” Russell, 33–34: 31–7. (Scholar)
Copi, Irving, 1971. The Theory of Logical Types, London: Routledge and Kegan Paul. (Scholar)
Demopoulos, William, and Peter Clark, 2005. “The Logicism of Frege, Dedekind and Russell,” in Stewart Shapiro (ed.), The Oxford Handbook of Philosophy of Mathematics and Logic, Oxford: Oxford University Press, 129–165. (Scholar)
Deutsch, Harry, 2014. “Resolution of Some Paradoxes of Propositions,” Analysis, 74: 26-34. (Scholar)
Ebbinghaus, Heinz-Dieter, and Volker Peckhaus, 2007. Ernst Zermelo: An Approach to His Life and Work, Berlin: Springer-Verlag. (Scholar)
Forster, T.E., 1995. Set Theory with a Universal Set, 2nd edn, Oxford: Clarendon Press. (Scholar)
Frege, Gottlob, 1902. “Letter to Russell,” in Jean van Heijenoort (ed.), From Frege to Gödel, Cambridge, Mass.: Harvard University Press, 1967, 126–128. (Scholar)
–––, 1903. “The Russell Paradox,” in Gottlob Frege, The Basic Laws of Arithmetic, Berkeley: University of California Press, 1964, 127–143; abridged and repr. in A.D. Irvine, Bertrand Russell: Critical Assessments, vol. 2, New York and London: Routledge, 1999, 1–3. (Scholar)
Gabbay, Dov M., and John Woods (eds.), 2009. Handbook of the History of Logic: Volume 5 – Logic From Russell to Church, Amsterdam: Elsevier/North Holland. (Scholar)
Galaugher, J.B., 2013. “Substitution’s Unsolved ‘Insolubilia’,” Russell, 33: 5–30. (Scholar)
Garciadiego, A., 1992. Bertrand Russell and the Origins of the Set-theoretic “Paradoxes”, Boston: Birkhäuser. (Scholar)
Grattan-Guinness, I., 1978. “How Bertrand Russell Discovered His Paradox,” Historia Mathematica, 5: 127–37. (Scholar)
–––, 2000. The Search for Mathematical Roots: 1870–1940, Princeton and Oxford: Princeton University Press. (Scholar)
Griffin, Nicholas (ed.), 2003. The Cambridge Companion to Bertrand Russell, Cambridge: Cambridge University Press. (Scholar)
–––, 2004. “The Prehistory of Russell’s Paradox,” in Godehard Link (ed.), One Hundred Years of Russell’s Paradox, Berlin and New York: Walter de Gruyter, 349–371. (Scholar)
––– Bernard Linsky and Kenneth Blackwell (eds.), 2011. Principia Mathematica at 100, Hamilton, ON: Bertrand Russell Research Centre; also published as Special Issue, Volume 31, Number 1 of Russell. (Scholar)
Hallett, Michael, 1984. Cantorian Set Theory and Limitation of Size, Oxford: Clarendon. (Scholar)
Halmos, Paul R., 1960. Naive Set Theory, Princeton: D. van Nostrand. (Scholar)
Irvine, A.D., 1992. “Gaps, Gluts and Paradox,” Canadian Journal of Philosophy (Supplementary Volume), 18: 273–299. (Scholar)
––– (ed.), 2009. Philosophy of Mathematics, Amsterdam: Elsevier/North Holland. (Scholar)
Kanamori, Akihiro, 2004. “Zermelo and Set Theory,” The Bulletin of Symbolic Logic, 10: 487–553. (Scholar)
–––, 2009. “Set Theory from Cantor to Cohen,” in A.D. Irvine (ed.), Philosophy of Mathematics, Amsterdam: Elsevier/North Holland, 395–459. (Scholar)
Kalish, Donald, Richard Montague and Gary Mar, 2000. Logic: Techniques of Formal Reasoning, 2nd edn, New York: Oxford University Press. (Scholar)
Klement, Kevin, 2005. “The Origins of the Propositional Functions Version of Russell’s Paradox,” Russell, 24: 101–132. (Scholar)
–––, 2014, “The Paradoxes and Russell’s Theory of Incomplete Symbols,” Philosophical Studies, 169: 183–207. (Scholar)
Landini, Gregory, 2006. “The Ins and Outs of Frege’s Way Out,” Philosophia Mathematica, 14: 1–25. (Scholar)
–––, 2013. “Zermelo ‘and’ Russell’s Paradox: Is There a Universal Set?” Philosophia Mathematica, 21: 180–199. (Scholar)
Levy, A., 1979. Basic Set Theory, Berlin: Springer-Verlag; New York: Heidelberg. (Scholar)
Link, Godehard (ed.), 2004. One Hundred Years of Russell’s Paradox, Berlin and New York: Walter de Gruyter. (Scholar)
Linsky, Bernard, 1990. “Was the Axiom of Reducibility a Principle of Logic?” Russell, 10: 125–140; repr. in A.D. Irvine (ed.) (1999) Bertrand Russell: Critical Assessments, 4 vols, London: Routledge, vol. 2, 150–264. (Scholar)
–––, 2002. “The Resolution of Russell’s Paradox in Principia Mathematica,” Philosophical Perspectives, 16: 395–417. (Scholar)
–––, 2013, “Ernst Schroeder and Zermelo’s Anticipation of Russell’s Paradox,” in Karine Fradet and François Lepage, La crise des fondements : quelle crise?, Montréal: Les Cahiers d’Ithaque, 7–23. (Scholar)
Mares, Edwin, 2007. “The Fact Semantics for Ramified Type Theory and the Axiom of Reducibility,” Notre Dame Journal of Formal Logic, 48: 237–251. (Scholar)
Menzel, Christopher, 1984. “Cantor and the Burali-Forti Paradox,” Monist, 67: 92–107. (Scholar)
Meyer, Robert K., Richard Routley and Michael Dunn, 1979. “Curry’s Paradox,” Analysis, 39: 124–128. (Scholar)
Moore, Gregory H., 1982. Zermelo’s Axiom of Choice, New York: Springer. (Scholar)
–––, 1988. “The Roots of Russell’s Paradox,” Russell, 8: 46–56. (Scholar)
Murawski, Roman, 2011. “On Chwistek’s Philosophy of Mathematics,” in Nicholas Griffin, Bernard Linsky and Kenneth Blackwell (eds) (2011) Principia Mathematica at 100, in Russell (Special Issue), 31(1): 121–130. (Scholar)
Peckhaus, Volker, 2004. “Paradoxes in Göttingen,” in Godehard Link (ed.), One Hundred Years of Russell’s Paradox, Berlin and New York: Walter de Gruyter, 501–515. (Scholar)
Priest, Graham, 2006. In Contradiction, 2nd edn, New York: Oxford University Press. (Scholar)
Quine, W.V.O., 1937. “New Foundations for Mathematical Logic,” American Mathematical Monthly, 44: 70–80; repr. in W.V.O. Quine, From a Logical Point of View, London: Harper & Row, 1953. (Scholar)
–––, 1966. The Ways of Paradox and Other Essays, New York: Random House. (Scholar)
–––, 1967. Set Theory and Its Logic, Harvard: Belknap Press. (Scholar)
Russell, Bertrand, 1902. “Letter to Frege,” in Jean van Heijenoort (ed.), From Frege to Gödel, Cambridge, Mass.: Harvard University Press, 1967, 124–125. (Scholar)
–––, 1903. “Appendix B: The Doctrine of Types,” in Bertrand Russell, The Principles of Mathematics, Cambridge: Cambridge University Press, 1903, 523–528. (Scholar)
–––, 1908. “Mathematical Logic as Based on the Theory of Types,” American Journal of Mathematics, 30: 222–262; repr. in Bertrand Russell, Logic and Knowledge, London: Allen and Unwin, 1956, 59–102; and repr. in Jean van Heijenoort (ed.), From Frege to Gödel, Cambridge, Mass.: Harvard University Press, 1967, 152–182. (Scholar)
–––, 1919. Introduction to Mathematical Philosophy, London: George Allen and Unwin Ltd, and New York: The Macmillan Co. (Scholar)
–––, 1944. “My Mental Development,” in Paul Arthur Schilpp (ed.), The Philosophy of Bertrand Russell, 3rd edn, New York: Tudor, 1951, 3–20. (Scholar)
–––, 1959. My Philosophical Development, London: George Allen and Unwin, and New York: Simon & Schuster. (Scholar)
–––, 1967, 1968, 1969. The Autobiography of Bertrand Russell, 3 vols, London: George Allen and Unwin; Boston: Little Brown and Company (Volumes 1 and 2), New York: Simon and Schuster (Vol. 3).
Salmon, N., 2013. “A Note on Kripke’s Paradox about Time and Thought,” Journal of Philosophy, 110: 213-220. (Scholar)
Scott, Dana, 1974. “Axiomatizing Set Theory,” in T.J. Jech (ed.), Proceedings of Symposia in Pure Mathematics (Volume 13, part 2), American Mathematical Society, 207-214. (Scholar)
Shapiro, Stewart (ed.), 2005. The Oxford Handbook of Philosophy of Mathematics and Logic, Oxford: Oxford University Press. (Scholar)
Simmons, Keith, 2000. “Sets, Classes and Extensions: A Singularity Approach to Russell’s Paradox,” Philosophical Studies, 100: 109–149. (Scholar)
–––, 2005. “A Berry and a Russell without Self-Reference,” Philosophical Studies, 126: 253–261. (Scholar)
Sorensen, Roy A., 2002. “Philosophical Implications of Logical Paradoxes,” in Dale Jacquette (ed.), A Companion to Philosophical Logic, New York: Oxford University Press, 131–142. (Scholar)
–––, 2003. “Russell’s Set,” in A Brief History of the Paradox, New York: Oxford University Press, 316–332. (Scholar)
Stevens, Graham, 2004. “From Russell’s Paradox to the Theory of Judgement: Wittgenstein and Russell on the Unity of the Proposition,” Theoria, 70: 28–61. (Scholar)
–––, 2005. The Russellian Origins of Analytical Philosophy, London and New York: Routlege. (Scholar)
Tappenden, Jamie, 2013. “The Mathematical and Logical Background to Analytic Philosophy,” in Michael Beaney (ed.) The Oxford Handbook of the History of Analytic Philosophy, Oxford: Oxford University Press, 318–354. (Scholar)
Urquhart, Alasdair, 1988. “Russell’s Zig-Zag Path to the Ramified Theory of Types,” Russell, 8: 82–91. (Scholar)
–––, 2003. “The Theory of Types,” in Nicholas Griffin (ed.), The Cambridge Companion to Bertrand Russell, Cambridge: Cambridge University Press, 286–309. (Scholar)
van Heijenoort, Jean (ed.), 1967. From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931, Cambridge and London: Harvard University Press. (Scholar)
von Neumann, John, 1925. “An Axiomatization of Set Theory,“ in Jean van Heijenoort (ed.), From Frege to Gödel, Cambridge and London: Harvard University Press, 1967, 393–413. (Scholar)
Wahl, Russell, 2011. “The Axiom of Reducibility,” in Nicholas Griffin, Bernard Linsky and Kenneth Blackwell (eds) (2011) Principia Mathematica at 100, in Russell (Special Issue), 31(1): 45–62. (Scholar)
Weber, Z., 2010. “Transfinite Numbers in Paraconsistent Set Theory,” Review of Symbolic Logic, 3: 71–92. (Scholar)
–––, 2012. “Transfinite Cardinals in Paraconsistent Set Theory,” Review of Symbolic Logic, 5: 269–293. (Scholar)
Whitehead, Alfred North, and Bertrand Russell, 1910, 1912, 1913. Principia Mathematica, 3 vols, Cambridge: Cambridge University Press; second edn, 1925 (Vol. 1), 1927 (Vols 2, 3); abridged as Principia Mathematica to *56, Cambridge: Cambridge University Press, 1962.

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