Skip to main content

Is (Was) Mathematics an Art or a Science?

(Mathematical Intelligencer 24(3)(2002): 59–64)

  • Chapter
  • First Online:
A Richer Picture of Mathematics
  • 2578 Accesses

Abstract

If you teach in a department like mine, the answer to this timeless question may actually carry consequences that seriously affect the resources your program will have available to teach mathematics in the future. In Mainz, no one is likely to protest that mathematics has long been counted as part of the Naturwissenschaften (natural sciences). If it were part of the Geisteswissenschaften (humanities), this would probably have serious budgetary implications. Of course most mathematics departments are now facing a far more immediate and pressing issue, one that can perhaps be boiled down to a different question: is mathematics closer to (a) an art form or (b) a form of computer science? If your students think the answer is certainly (b), then you can dismiss the above query as irrelevant for higher education in the twenty-first century. But since I’m mainly concerned with historical matters, let me turn to the loftier issue raised by the (parenthetical) question in the title above.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Alexanderson, G.L. 1987. George Pólya: A Biographical Sketch. In The Pólya Picture Album: Encounters of a Mathematician. Boston: Birkhäuser.

    Chapter  Google Scholar 

  • Barrow-Green, June E. 1997. Poincaré and the Three-Body Problem. Providence: American and London Mathematical Societies.

    MATH  Google Scholar 

  • Ben-Menahem, Yemima. 2001. Convention: Poincaré and Some of His Critics. British Journal for the Philosophy of Science 52: 471–513.

    Article  MathSciNet  MATH  Google Scholar 

  • Corry, Leo. 2000. The Empiricist Roots of Hilbert’s Axiomatic Approach. In Proof Theory. History and Philosophical Significance, Hendricks, V. F., S. A. Pederson, and K. F. Jorgensen, eds. Synthese Library, vol. 292, Dordrecht: Kluwer, 35–54.

    Google Scholar 

  • Darrigol, Olivier. 1995. Henri Poincaré’s Criticism of fin de siècle Electrodynamics. Studies in the History of Modern Physics 26 (1): 1–44.

    Article  MATH  Google Scholar 

  • Goldstein, Catherine, and Jim Ritter. 2003. The Varieties of Unity: Sounding Unified Theories, 1920–1930. In Revisiting the Foundations of Relativistic Physics (Festschrift for John Stachel), ed. A. Ashtekar et al., 93–149. Dordrecht: Kluwer.

    Chapter  Google Scholar 

  • Gray, Jeremy J. 2000. The Hilbert Challenge. Oxford: Oxford University Press.

    MATH  Google Scholar 

  • Hawking, S.W., and G.F.R. Ellis. 1973. The Large Scale Structure of Space-Time. Cambridge: Cambridge University Press.

    Book  MATH  Google Scholar 

  • Hendricks, V. F., S. A. Pederson, and K. F. Jorgensen, eds. 2000. Proof Theory. History and Philosophical Significance, Synthese Library, vol. 292, Dordrecht: Kluwer.

    Google Scholar 

  • Mehrtens, Herbert. 1987. Ludwig Bieberbach and “Deutsche Mathematik”. In Studies in the History of Mathematics, ed. Esther R. Phillips, 195–241. Washington, D. C.: Mathematical Association of America.

    Google Scholar 

  • ———. 1990. Moderne-Sprache-Mathematik. Eine Geschichte des Streits um die Grundlagen der Disziplin und des Subjekts formaler Systeme. Suhrkamp Verlag: Frankfurt am Main.

    MATH  Google Scholar 

  • Pais, Abraham. 1982. ‘Subtle is the Lord...’ The Science and the Life of Albert Einstein. Oxford: Clarendon Press.

    Google Scholar 

  • Parshall, Karen, and David E. Rowe. 1994. The Emergence of the American Mathematical Research Community, 1876–1900. J.J. Sylvester, Felix Klein, and E.H. Moore, AMS/LMS History of Mathematics Series. Vol. 8. Providence: American Mathematical Society.

    Book  MATH  Google Scholar 

  • Poincaré, Henri. 1905. Science and Hypothesis. London: Walter Scott; repr. New York: Dover, 1952.

    MATH  Google Scholar 

  • Rowe, David E.. 1989. Felix Klein, David Hilbert, and the Göttingen Mathematical Tradition. In Science in Germany: The Intersection of Institutional and Intellectual Issues, Kathryn Olesko, ed., Osiris, 5, 186–213.

    Google Scholar 

  • ———. 1998. Mathematics in Berlin, 1810–1933. In Mathematics in Berlin, ed. H.G.W. Begehr, H. Koch, J. Kramer, N. Schappacher, and E.-J. Thiele, 9–26. Birkhäuser: Basel.

    Chapter  Google Scholar 

  • ———. 2000. The Calm before the Storm: Hilbert’s early Views on Foundations. In Proof Theory. History and Philosophical Significance, Hendricks, V. F., S. A. Pederson, and K. F. Jorgensen, eds. Synthese Library, vol. 292, Dordrecht: Kluwer, 55–93.

    Google Scholar 

  • Schappacher, Norbert. 1991. Edmund Landau’s Göttingen. From the Life and Death of a Great Mathematical Center. Mathematical Intelligencer 13: 12–18.

    MathSciNet  MATH  Google Scholar 

  • Schappacher, Norbert and Erhard, Scholz, eds. 1992. Oswald Teichmüller. Leben und Werk, Jahresbericht der Deutschen Mathematiker-Vereinigung 94: 1–39.

    Google Scholar 

  • Sieg, Wilfried. 2000. Towards Finitist Proof Theory. In Proof Theory. History and Philosophical Significance, Hendricks, V. F., S. A. Pederson, and K. F. Jorgensen, eds. Synthese Library, vol. 292, Dordrecht: Kluwer, 95–114.

    Google Scholar 

  • Siegmund-Schultze, Reinhard. 1998. Mathematiker auf der Flucht vor Hitler, Dokumente zur Geschichte der Mathematik. Bd. 10 ed. Braunschweig/Wiesbaden: Vieweg.

    MATH  Google Scholar 

  • Thomas, T.Y. 1938. Recent Trends in Geometry. In Semicentennial Addresses of the American Mathematical Society, 98–135. New York: American Mathematical Society.

    Google Scholar 

  • van Dalen, Dirk. 1990. The War of the Mice and Frogs, or the Crisis of the Mathematische Annalen. The Mathematical Intelligencer 12 (4): 17–31.

    Article  MathSciNet  MATH  Google Scholar 

  • Wilder, Raymond L. 1982. The Mathematical Work of R. L. Moore: Its Background, Nature, and Influence. Archive for History of Exact Sciences 26: 73–97.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Rowe, D.E. (2018). Is (Was) Mathematics an Art or a Science?. In: A Richer Picture of Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-67819-1_34

Download citation

Publish with us

Policies and ethics