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Growth and New Intuitions: Can We Meet the Challenge?

In: Mathematics Tomorrow

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  • William F. Lucas

    (Cornell University)

Abstract

The mathematical sciences have changed significantly during the past few decades. The most obvious change is the enormous growth of mathematics. However, the most exciting and potentially beneficial movement may well be the extensive mathematization of many traditional as well as newly emerging disciplines. The consequent influx of rich new ideas and alternative intuitional sources can greatly rejuvenate and invigorate mathematics itself. It would thus appear that mathematics should, for some time into the future, exhibit a truly great scientific advance that would bring reasonable prosperity to both its individual practitioners and its supporting institutions. Nevertheless, there is ample evidence to indicate that these possibilities are not being realized, and the prospects for the future are much less encouraging. The most obvious illustration of this is the gross mismatch between the mathematics that students are currently being taught and the skills that are marketable to most current users of the subject.

Suggested Citation

  • William F. Lucas, 1981. "Growth and New Intuitions: Can We Meet the Challenge?," Springer Books, in: Lynn Arthur Steen (ed.), Mathematics Tomorrow, pages 55-69, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8127-3_7
    DOI: 10.1007/978-1-4613-8127-3_7
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