打字猴:1.70105869e+09
1701058690 Hays, John. “The Battle of the Frog and the Mouse (from the Fables of Aleph).” Mathematical Intelligencer 6, no. 2 (1984): 77-80.
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1701058692 Hilbert, David. “From ‘Mathematical Problems: Lecture Delivered before the International Congress of Mathematicians at Paris in 1900. (Paris Problems and the Formalist Program).’” In Calinger, 1995, pp. 698-718.
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1701058694 Mancosu, Paolo. From Brouwer to Hilbert. New York: Oxford University Press, 1998.
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1701058696 Nyikos, Peter. “Hilbert’s First and Second Problems and the Foundations of Mathematics.” Topology Atlas Invited Contributions 9, no. 3 (2004): 1-6. Online: PDF form is http://arxiv.org/PS_cache/math/pdf/0412/0412555.pdf.
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1701058698 Peckhaus, Volker. “The Pragmatism of Hilbert’s Program.” Synthese 137 (2003): 141-56. Online, pp. 1-17: www-fakkw.upb.de/institute/philosophie/Personal/Peckhaus/Texte_zum_Download/pragmatism-h.pdf.
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1701058700 Reid, C. Hilbert. New York: Springer-Verlag, 1970.
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1701058702 Simpson, Stephen G. “Partial Realizations of Hilbert’s Program,” February 4, 1986, pp. 1-22. Online: ftp://ftp.math.psu.edu/simpson/papers/hilbert.pdf. Published in the Journal of Symbolic Logic 53 (1988): 349-63.
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1701058704 Snapper, Ernst. “The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism.” Chapter 106 in Swetz, 1994, pp. 697-707.
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1701058706 Stein, Howard. “Logos, Logic, and Logistiké: Some Philosophical Remarks on Nineteenth-Century Transformation of Mathematics ” In Aspray and Kitcher, 1988, pp. 238-59.
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1701058708 van Dalen, Dirk. Mystic, Geometer, and Intuitionist: The Life of L. E. J. Brouwer. New York: Oxford University Press. Vol. 1, The Dawning Revolution, 1999. Vol. 2, Hope and Disillusion, 2005.
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1701058710 ——. “The War of the Frogs and the Mice, or the Crisis of the Mathematische Annalen.” Mathematical Intelligencer 12, no. 4 (1990): 17-31.
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1701058712 van Stigt, Walter P. Brouwer’s Intuitionism. New York: Elsevier Science, 1990.
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1701058714 ——. “Brouwer’s Intuitionist Program.” In Mancosu, 1998, pp. 1-22.
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1701058716 von Mises, Richard. “Logistic” and “The Foundations of Mathematics.” Sections in “Mathematical Postulates and Human Understanding” (1951). In Newman, vol. 3, 1956, pp. 1733-54.
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1701058718 Weyl, Hermann. “David Hilbert and His Mathematical Work” (1944). In Reid, 1970, pp. 245-83. (Especially Axiomatics, pp. 264-74).
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1701058720 Young, Robyn V. “David Hilbert.” In Young, 1998, pp. 244-47.
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1701058722 ——. “Luitzen Egbertus Jan Brouwer.” In Young, 1998, p. 81.
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1701058724 10. 绝对主义者/柏拉图主义者VS易误论着/建构主义者
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1701058726 Barnard, Tony, and Peter Saunders. “Superior Sums That Don’t Add Up to Much. How Mathematics Is Taught Is in Dispute, and Our Children’s Knowledge of It Is Worse Than Ever.” The Guardian (December 28, 1994), Features, p. 18.
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1701058728 Barrow, John D. “Platonic Heavens above and Within.” Chapter 6 in Barrow, 1992, pp. 249-97.
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1701058730 Ernest, Paul. “Education: Number Crunch; Too Much Maths Teaching Is Outdated and Boring.” The Guardian (January 3, 1995), Education Page, p. T15.
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1701058732 ——. “In response to Professor Zheng.” Philosophy of Mathematics Education Newsletter 7(February 1994), p. 5. Online: www.people.ex.ac.uk/PErnest/pome/pome7.htm.
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1701058734 ——. “Is Mathematics Discovered or Invented?” Philosophy of Mathematics Education Journal 12 (November 1999). Online: www.people.ex.ac.uk/PErnest/pomel2/
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1701058736 ——. “What Is the Philosophy of Mathematics Education?” Philosophy of Mathematics Education Journal 18 (October 2004). Online: www.people.ex.ac.uk/PErnest/pomel8/PhoM_%20for _ICME_04.htm.
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1701058738 Hardy, G. H. A Mathematician’s Apology. London: Cambridge University Press, 1967. (Orig. pub. 1941.)
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