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Journal Article
REPLY TO M. POINCARÉ
Louis Couturat
The Monist
Vol. 22, No. 4 (OCTOBER, 1912), pp. 483523
Published by: Oxford University Press
Stable URL: http://www.jstor.org/stable/27900394
Page Count: 41
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Topics: Logistics, Mathematics, Reasoning, Mathematical induction, Intuition, Mathematical logic, Logic, Arithmetic, Numbers, Mathematical objects
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This item contains 34 references.
[Footnotes]

3Dr. G. B. Halsted's translation of "The New Logics" in The Monist of April 1912

4Les principes des mathématiques, Paris, Alean, 1905.

5The Foundations of Geometry, trans, by Townsend. Chicago, The Open Court Publishing Co.

8This 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. 256262.

9Peano'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.

11English in The Monist for October, 1898.

12Couturat and Leau, Histoire de la langue universelle (Paris, 1903)

13Bulletin des Sciences math matiques, Vol. XXV, 1901.

15This reference contains 2 citations:
 1895 Peano
 "Sur la définition de la limite d'une fonction," American Journal of Mathematics, Vol. XVII

17Couturat, La Logique de Leibniz, pp. 8485

20Professor Peano has published, besides, a classical manual entitled: Aritm tica generale e algebra elementare, drawn up in logistics (Turin, 1902).

22Pcano's Arithmetkes principia of 1889.

23Les Principes des Mathématiques, Chap. II, § B, p. 59.

24Ibid.

27This reference contains 2 citations:
 Les Principes des Mathématiques, Chap. II, § A, pp. 4748.
 Hilbert: "Let us consider the object I,"

28note 26

31G. Freg , Grundgesetze der Arithmetik, Vol. I, 1893, p. 53.

32This reference contains 5 citations:
 Bernstein, Math. Ann., Vol. LX
 Jourdain, Phil. Mag., 19041905
 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.

33pp. 228229 of Couturat's

34Russell, "On some difficulties in the theory of transfinite numbers and order types," Proc. Lond. Math. Soc. (2), Vol. IV, 1905, pp. 2953.

35Amer. Journ. of Math., Vol. XXIV, 1902.

36Les Principes, 39.

37The Monist, Jan., 1910, Vol. XX., pp. 113116.

42Russell, "The Existential Import of Propositions," Mind, July, 1905.

43Frege in his Grundlagen der Arithmetik, §§ 94, 95 (1884).

44This reference contains 2 citations:
 Communication to the second international congress of mathematicians at Paris in 1900
 Bulletin of the Amer. Math. Soc., 1902.

45This reference contains 4 citations:
 Communication to the third congress at Heidelberg in 1904
 Monist, July, 1905.
 Hilbert's paper is reprinted on pp. 263279
 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 8591.

47This reference contains 2 citations:
 Biblioth que du (I er ) Congrés int. de Philosophie, Vol. III, pp. 309365
 Revue de mathématiques, Vol. VII, 1901, pp. 7384.

48This reference contains 2 citations:
 Les Principes, p. 286
 note on p. 238 of M. Couturat's

50M. Couturat, on p. 249

52Les Principes, P. 55.

53Monist, April, 1912, Vol. XXII, p. 256.
The Monist