Log in

Mathematics Is Not a Game But...

  • Published:
The Mathematical Intelligencer Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Thomae, Johannes. Elementare Theorie der analytischen Functionen einer complexen Veränderlichen. 2nd ed. Halle: L. Nebert, 1898 (1st ed. 1880), ridiculed by Frege [2].

  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.

  3. 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.)

  4. Thomas, Robert. ‹Mathematics and Narrative’. The Mathematical Intelligencer 24 (2002), 3, 43–46

    Article  MathSciNet  Google Scholar 

  5. 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.

    Article  Google Scholar 

  6. Donaldson, Margaret. Human Minds, London: Penguin, 1993.

    Google Scholar 

  7. Rotman, Brian. Ad Infinitum: The Ghost in Turing’s Machine. Stanford: Stanford University Press, 1993.

    MATH  Google Scholar 

  8. 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.

  9. Davis, Chandler, and Erich W. Ellers. The Coxeter Legacy: Reflections and Projections. Providence, R. I.: American Mathematical Society, 2006.

  10. 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.

  11. Kitcher, Philip. The Nature of Mathematical Knowledge. New York: Oxford University Press, 1984.

    Google Scholar 

  12. 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.

  13. 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.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Robert Thomas.

Rights and permissions

Reprints 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

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00283-008-9015-9

Keywords

Navigation