Article PDF
Avoid common mistakes on your manuscript.
References
Thomae, Johannes. Elementare Theorie der analytischen Functionen einer complexen Veränderlichen. 2nd ed. Halle: L. Nebert, 1898 (1st ed. 1880), ridiculed by Frege [2].
Frege, Gottlob. ‹Frege against the formalists’ from Grundgesetze der Arithmetik, Jena: H. Pohle. Vol. 2, Sections 86-137, in Translations from the philosophical writings of Gottlob Frege. 3rd ed. Peter Geach and Max Black, eds. Oxford: Blackwell, 1980. I am grateful to a referee for pointing this out to me.
Wells, David. Mathematics and Abstract Games: An Intimate Connection. London: Rain Press, 2007. (Address: 27 Cedar Lodge, Exeter Road, London NW2 3UL, U.K. Price: £10; $20 including surface postage.)
Thomas, Robert. ‹Mathematics and Narrative’. The Mathematical Intelligencer 24 (2002), 3, 43–46
O’Neill, Daniella K., and Rebecca M. Shultis. ‹The emergence of the ability to track a character’s mental perspective in narrative’, Developmental Psychology, 43 (2007), 1032–1037.
Donaldson, Margaret. Human Minds, London: Penguin, 1993.
Rotman, Brian. Ad Infinitum: The Ghost in Turing’s Machine. Stanford: Stanford University Press, 1993.
Walton, Kendall L. Mimesis as Make-Believe: On the Foundations of the Representational Arts. Cambridge, Mass.: Harvard University Press, 1990. Also Currie, Gregory. The Nature of Fiction. Cambridge: Cambridge University Press, 1990.
Davis, Chandler, and Erich W. Ellers. The Coxeter Legacy: Reflections and Projections. Providence, R. I.: American Mathematical Society, 2006.
Thomas, Robert. ‹Extreme Science: Mathematics as the Science of Relations as such,’ in Proof and Other Dilemmas: Mathematics and Philosophy, Ed. Bonnie Gold and Roger Simons, Washington, D.C.: Mathematical Association of America, 2008.
Kitcher, Philip. The Nature of Mathematical Knowledge. New York: Oxford University Press, 1984.
Zeilberger, Doron. ‹Theorems for a price: Tomorrow’s semi-rigorous mathematical culture’. Notices of the Amer. Math. Soc. 40 (1993), 978-981. Reprinted in The Mathematical Intelligencer 16 (1994), 4, 11-14.
Conway, John H. On Numbers and Games. 2nd ed. Natick, Mass.: AK Peters, 2001. (1st ed. LMS Monographs; 6. London: Academic Press, 1976). Also Berlekamp, E.R., J.H. Conway, and R.K. Guy. Winning Ways for your Mathematical Plays. 2 volumes. London: Academic Press, 1982.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Thomas, R. Mathematics Is Not a Game But.... Math Intelligencer 31, 4–8 (2009). https://doi.org/10.1007/s00283-008-9015-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00283-008-9015-9