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因此，为数学寻找一个坚实基础的努力还在进行中；对最好的数学教学法的寻求也在进行中。对于基础问题，克莱因说：“历史事实表明，数学没有一个固定的、客观的和独特的实体。另外照以前的历史来看，数学将会有新的内容，这些新内容也将需要新的基础。”(4)
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至少就每一次基础危机来看，我们似乎回到了跟前人同样的问题。但我们可以期待，或至少可以希望，每一次危机之后，数学界将会从以前所发生的事中学到某些东西，从而变得更强大、更聪明——这是螺旋的又一圈！
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(1) 克莱因，1980年，第276页。
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(2) 克莱因，1980年，第277页。
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(3) 斯维特文集，1994年，第 697、707页。
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(4) 克莱因，1980年，第320页。
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数学恩仇录：数学家的十大论战 参考书目
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一般背景
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Abbott, David. The Biographical Dictionary of Scientists: Mathematicians. New York: Peter Bedrick Books, 1986.
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Albers, Donald J., and G. L. Alexanderson, eds. Mathematical People: Profiles and Interviews. Cambridge, Mass.: Birkhäuser Boston, 1985.
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Aspray, William, and Philip Kitcher, eds. History and Philosophy of Modern Mathematics. Minneapolis: University of Minnesota Press, 1988.
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Ball, W. W. Rouse. A Short Account of the History of Mathematics. New York: Dover, 1960. (Orig. pub. 1908.)
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Barrow, John D. Pi in the Sky: Counting, Thinking, and Being. New York: Oxford University Press, 1992.
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Bell, E. T. The Development of Mathematics. 2nd ed. New York: McGraw-Hill, 1945.
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——. Men of Mathematics. New York: Simon and Schuster, 1937.
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Boyer, Carl B. A History of Mathematics. 2nd. rev. ed. New York: John Wiley & Sons, 1991.
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Bruno, Leonard C. Math and Mathematicians: The History of Math Discoveries around the World. Detroit: UXL, 1999.
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Burton, David M. The History of Mathematics: An Introduction. Boston: McGraw-Hill, 2003. (Orig. pub. 1991.)
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Cajori, Florian. A History of Mathematics. New York: Chelsea Publishing, 1980. (Orig. pub. 1983.)
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Calinger, Ronald. Classics of Mathematics. Englewood Cliffs, NJ.: Prentice-Hall, 1995. (Orig. pub. Moore, 1983.)
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Collins, Randall, and Sal Restivo. “Robber Barons and Politicians in Mathematics: A Conflict Model of Science.” Canadian Journal of Sociology 8, no. 2 (Spring 1983): 199-227.
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Davis, Philip J., and Reuben Hersh. The Mathematical Experience. Boston: Birkhäuser, 1981.
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Doxiadis, Apostolos K. Uncle Petros and Goldbach’s Conjecture. New York: Bloomsbury USA, 2000. (An absorbing novel about a mathematician’s compulsion to solve a major mathematical problem.)
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