Contact Directory

John Bell
BA, D.Phil Oxford

  • Professor
  • Logic and Philosophy of Mathematics 

Phone: 519-661-2111 ext. 85750
Office: Stevenson Hall, Room 4130
E-mail: jbell@uwo.ca
Website: Personal

2012-2013 Teaching

  • PHIL 2251F - Conceptual Development of Mathematics
  • PHIL 3201B - Special Topics in Logical Theory
  • PHIL 9300 -  Philosophy of Mathematics 

Selected Publications

Books

  • (With A.B. Slomson) Models and Ultraproducts: An Introduction. North-Holland, Amsterdam, 1969. (3 printings.) Republished by Dover, 2006.
  • Set Theory: Boolean-Valued Models and Independence Proofs. Clarendon Press, Oxford, 1977. 3rd edition, 2005.
  • The Continuous and the Infinitesimal in Mathematics and Philosophy. Polimetrica, Milano, 2005.

Articles

  • "Incompleteness in a General Setting." Forthcoming in Bulletin of Symbolic Logic.
  • "Cover Schemes, Frame-Valued Sets and Their Potential Uses in Spacetime Physics." Forthcoming, Spacetime Physics Research Trends, Horizons in World Physics, Volume 248, Nova Science Publishers, New York, 2007.
  • "Abstract and Variable Sets in Category Theory." In What is Category Theory?, Polimetrica, 2006.
  • "Choice Principles in Intuitionistic Set Theory." In A Logical Approach to Philosophy, Essays in Honour of Graham Solomon, D. DeVidi and T. Kenyon, eds., Springer, 2006.
  • (With Geoffrey Hellman) "Pluralism and the Foundations of Mathematics." Forthcoming, Proceedings of Workshop on Scientific Pluralism, University of Minnesota, 2002. Minnesota University Press, 2006.
  • "Cosmological Theories and the Question of the Existence of a Creator." Forthcoming in Religion and the Challenges of Science, Ashgate Publishers, 2007.
  • "Oppositions and Paradoxes in Mathematics and Philosophy." Axiomathes15, 2005.
  • "Divergent Concepts of the Continuum in 19th and Early 20th Century Mathematics and Philosophy." Axiomathes15, 2005.
  • "The Development of Categorical Logic." Handbook of Philosophical Logic, Volume 12. Springer, 2005.
  • "Continuity and Infinitesimals." Stanford Encyclopedia of Philosophy, 2005.
  • "Whole and Part in Mathematics." Axiomathes14, 2004.
  • "Russell's Paradox and Diagonalization in a Constructive Context." 100 Years of Russell’s Paradox, Munich 2001, Walter de Gruyter, 2004.

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