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Sweeney, Seamus. “The Mystery of Infinity.” Lancet 357, no. 9255 (February 17, 2001): 564-65. (Essay review of Aczel, 2000.)
1701058541
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Wallace, David Foster. Everything and More: A Compact History of ∞. New York: W.W. Norton, 2003.
1701058543
1701058544
7. 波莱尔VS策海洛
1701058545
1701058546
Abbott, David. “Borel, Émile Félix-Édouard-Justin.” In Abbott, 1986, p. 22.
1701058547
1701058548
——. “Zermelo, Ernst Friedrich Ferdinand.” In Abbott, 1986, pp. 142-43.
1701058549
1701058550
Aczel, Amir D. “The Axiom of Choice.” Chapter 14 in Azcel, 2000, pp. 171-78.
1701058551
1701058552
Bell, Eric Temple. Bell’s take on the “spirited controversy” that was touched off by Zermelo’s “notorious” axiom. Bell, 1945, pp. 484-85.
1701058553
1701058554
Calinger, Ronald. “Ernst (Friedrich Ferdinand) Zermelo.” In Calinger, 1995, pp. 719-20.
1701058555
1701058556
Cohen, Paul I., and Reuben Hersh. “Non-Cantorian Set Theory.” Scientific American (December 1967): 104-16.
1701058557
1701058558
Dauben, Joseph. “Zermelo, Well-Ordering, and the Axiom of Choice.” In Dauben, 1990, pp. 250-59.
1701058559
1701058560
Heinzmann, Gerhard. Poincaré, Russell, Zermelo et Peano. Textes de la discussion (1906-1912) sur les fondements des mathématiques: des antinomies à la prédicativité. Paris: Librairie Scientifique et Technique, 1986.
1701058561
1701058562
Hirsch, Morris W. “Book Review.” Bulletin of the American Mathematical Society 32, no. 1 (January 1995): 137-48. (Essay review of Realism in Mathematics, by Penelope Maddy, 1993).
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1701058564
Irvine, A. D. “Russell’s Paradox.” 2003 (Stanford Encyclopedia of Philosophy), pp. 1-4. Online: www.science.uva.nl/～seop/entries/russell-paradox/.
1701058565
1701058566
Jervell, Herman R. “From the Axiom of Choice to Choice Sequences.” Nordic Journal of Philosophical Logic 1, no. 1 (1996): 95-98.
1701058567
1701058568
Maddy, Penelope. Realism in Mathematics. New York: Oxford University Press, 1990.
1701058569
1701058570
May, Kenneth D. “Borel, Émile (Félix Édouard-Justin).” In Gillispie, vol. 2, 1970, pp. 302-5.
1701058571
1701058572
Moore, Gregory H. Zermelo’s Axiom of Choice: Its Origins, Development, and Influence. New York: Springer-Verlag, 1982.
1701058573
1701058574
O’Connor, J. J. and E. F. Robertson. “Ernst Friedrich Ferdinand Zermelo.” Online, 1999, pp. 1-3: www-groups.dcs.st-and.ac.uk/～history/Mathematicians/Zermelo.html.
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1701058576
——. “A History of Set Theory.” Online, February 1996: www-groups.dcs.st-and.ac.uk/～history/HistTopics/Beginnings_of_set_theory.html.
1701058577
1701058578
Russell, Bertrand. “On Some Difficulties in the Theory of Transfinite Numbers and Order Types” (December 14, 1906), in Heinzmann, 1986, pp. 54-78.
1701058579
1701058580
Schechter, Eric. “A Home Page for the Axiom of Choice.” Online, updated March 7, 2005: math.vanderbilt.edu/～schectex/ccc/choice.html.
1701058581
1701058582
Van Rootselaar, B. “Zermelo, Ernst Friedrich Ferdinand.” In Gillispie, vol. 14, 1976, pp. 613-16.
1701058583
1701058584
Whitehead, Alfred North, and Bertrand Russell. Prindpia Mathematica. (Abridged text of vol. 1., 1962. Orig. pub. 1910.) New York: Cambridge University Press, 1997.
1701058585
1701058586
Zermelo, Ernst. “Proof That Every Set Can Be Well-Ordered.” From a letter to David Hilbert (September 24, 1904). In Calinger, 1995, pp. 720-22.
1701058587
1701058588
8. 庞加莱VS罗素
1701058589
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