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REPLY TO M. POINCARÉ

Louis Couturat
The Monist
Vol. 22, No. 4 (OCTOBER, 1912), pp. 483-523
Published by: Oxford University Press
Stable URL: http://www.jstor.org/stable/27900394
Page Count: 41
Subjects: History of Science & Technology Philosophy
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Notes and References

This item contains 34 references.

[Footnotes]
  • 3
    Dr. G. B. Halsted's translation of "The New Logics" in The Monist of April 1912
  • 4
    Les principes des mathématiques, Paris, Alean, 1905.
  • 5
    The Foundations of Geometry, trans, by Townsend. Chicago, The Open Court Publishing Co.
  • 8
    This reference contains 2 citations:
    • "Ueber den Zahlbegriff," Jahresber. der deutsch. Math.-Ver., Vol. VIII, 1900.
    • reprinted in an appendix to the 3d German edition of the Grundlagen der Geometrie, Leipsic and Berlin, 1909, pp. 256-262.
  • 9
    Peano's Formulaire de Mathématiques, and the Notations de Logique mathématique (Turin, 1894)
  • 10
    "Versuch einer Zeichenkunst in der Vernunftlehre, Logische und philo sophische Abhandlungen, edited by John Bernoulli, Berlin, 1782.
  • 11
    English in The Monist for October, 1898.
  • 12
    Couturat and Leau, Histoire de la langue universelle (Paris, 1903)
  • 13
    Bulletin des Sciences math matiques, Vol. XXV, 1901.
  • 15
    This reference contains 2 citations:
    • 1895 Peano
    • "Sur la définition de la limite d'une fonction," American Journal of Mathematics, Vol. XVII
  • 17
    Couturat, La Logique de Leibniz, pp. 84-85
  • 20
    Professor Peano has published, besides, a classical manual entitled: Aritm tica generale e algebra elementare, drawn up in logistics (Turin, 1902).
  • 22
    Pcano's Arithmetkes principia of 1889.
  • 23
    Les Principes des Mathématiques, Chap. II, § B, p. 59.
  • 24
    Ibid.
  • 27
    This reference contains 2 citations:
    • Les Principes des Mathématiques, Chap. II, § A, pp. 47-48.
    • Hilbert: "Let us consider the object I,"
  • 28
    note 26
  • 31
    G. Freg , Grundgesetze der Arithmetik, Vol. I, 1893, p. 53.
  • 32
    This reference contains 5 citations:
    • Bernstein, Math. Ann., Vol. LX
    • Jourdain, Phil. Mag., 1904-1905
    • Rus sell, Mind, 1905
    • Hadamard, Borel, Lebesgue, Baire, Bulletin de a Société Math, de France, 1905
    • Zermelo, Borel, König, Schö nflies, ath. Ann., Vol. LIX, LX.
  • 33
    pp. 228-229 of Couturat's
  • 34
    Russell, "On some difficulties in the theory of transfinite numbers and order types," Proc. Lond. Math. Soc. (2), Vol. IV, 1905, pp. 29-53.
  • 35
    Amer. Journ. of Math., Vol. XXIV, 1902.
  • 36
    Les Principes, 39.
  • 37
    The Monist, Jan., 1910, Vol. XX., pp. 113-116.
  • 42
    Russell, "The Existential Import of Propositions," Mind, July, 1905.
  • 43
    Frege in his Grundlagen der Arithmetik, §§ 94, 95 (1884).
  • 44
    This reference contains 2 citations:
    • Communication to the second international congress of mathematicians at Paris in 1900
    • Bulletin of the Amer. Math. Soc., 1902.
  • 45
    This reference contains 4 citations:
    • Communication to the third congress at Heidelberg in 1904
    • Monist, July, 1905.
    • Hilbert's paper is reprinted on pp. 263-279
    • third edition of his Grundlagen der Geometrie, published at Leipsic and Berlin in 1909
  • 46
    "Le problème no. 2 de M. D. Hilbert," L'Enseignement mathématique, Vol V, 1903, PP- 85-91.
  • 47
    This reference contains 2 citations:
    • Biblioth que du (I er ) Congrés int. de Philosophie, Vol. III, pp. 309-365
    • Revue de mathématiques, Vol. VII, 1901, pp. 73-84.
  • 48
    This reference contains 2 citations:
    • Les Principes, p. 286
    • note on p. 238 of M. Couturat's
  • 50
    M. Couturat, on p. 249
  • 52
    Les Principes, P. 55.
  • 53
    Monist, April, 1912, Vol. XXII, p. 256.