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Poincaré on understanding mathematics

Gerhard Heinzmann

Philosophia Scientiae (1998-1999)

  • Volume: 3, Issue: 2, page 43-60
  • ISSN: 1281-2463

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Heinzmann, Gerhard. "Poincaré on understanding mathematics." Philosophia Scientiae 3.2 (1998-1999): 43-60. <http://eudml.org/doc/242718>.

@article{Heinzmann1998-1999,
author = {Heinzmann, Gerhard},
journal = {Philosophia Scientiae},
language = {eng},
number = {2},
pages = {43-60},
publisher = {Éditions Kimé},
title = {Poincaré on understanding mathematics},
url = {http://eudml.org/doc/242718},
volume = {3},
year = {1998-1999},
}

TY - JOUR
AU - Heinzmann, Gerhard
TI - Poincaré on understanding mathematics
JO - Philosophia Scientiae
PY - 1998-1999
PB - Éditions Kimé
VL - 3
IS - 2
SP - 43
EP - 60
LA - eng
UR - http://eudml.org/doc/242718
ER -

References

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  1. Chihara, Charles S.1996Poincaré and Logicism, in: Greffe et al. 1996, 435-446. Zbl0853.01016
  2. Detlefsen, Michael1992Poincaré against the Logicicians, Synthese 90, pp. 349-378. Zbl0755.03002
  3. Detlefsen, Michael1992 (Ed. Proof, Logic and Fonnalization, London/New York: Routledge. 
  4. Dieudonné, Jean1989A History of Algebraic and Differential Topology, 1900-1960, Boston/Basel: Birkhäuser. Zbl0673.55002
  5. Eymard, Pierre1996Comment Hilbert et Poincaré rédigeaient les mathématiques, Philosophia Scientiae 1 (4), 19-26. 
  6. Feferman, Solomon1992What rests on what ? The Proof-Theoretic Analysis of Mathematics, 15th Int. Wittgenstein Symposium, Kirchberg/Wechsel 1992, Manuscript. 
  7. Folina, Janet1996Logic and Intuition in Poincaré's Philosophy of Mathematics, in : Greffe et al. 1996, 417-434. Zbl0854.01032
  8. Frege, Gottlob1969Nachgelassene Schriften (Hrsg. H. Hermes/F. Kambartel/F. Kaulbach), Hamburg: Meiner. 
  9. Goldfarb, Warren1985Poincaré against the Logicists, in: W. Aspray/P. Kitcher (Ed.), History and Philosophy of Modern Mathematics, Minneapolis: Minnesota Press, pp. 61-81. 
  10. Gray, J.J./ Walter S. A.1997Henri Poincaré. Trois suppléments sur la découverte des fonctions fuchsiennes, Berlin/Paris: Akademie Verlag/Blanchard. 
  11. Greffe, J.L./ Heinzmann, G./ Lorenz, K.1996Henri Poincaré. Wissenschaft und Philosophie, Berlin/Paris: Akademie Verlag/Blanchard. Zbl0838.00010
  12. Heinzmann, Gerhard1986 (Ed.) Poincaré, Russell, Zermelo et Peano. Textes de la discussion (1906-1912) sur les fondements des mathématiques: des antinomies à la prédicativité, Paris: Blanchard. Zbl0669.01027
  13. Heinzmann, Gerhard1987Philosophical Pragmatism in Poincaré, in: Initiatives in Logic, Reason and Argument (Ed.. Jan Srzednicki), vol 2, (Nijhoff), Dordrecht/Boston/Lancaster, pp. 70-80. 
  14. Heinzmann, Gerhard1988Poincaré's Philosophical Pragmatism and the Problem of Complete Induction, Fundamenta Scientiae 9, pp. 1-19. 
  15. Heinzmann, Gerhard1994Mathematical Reasoning and Pragmatism in Peirce, in: D. Prawitz/D. Westerstahl (Eds.), Logic and Philosophy of Science in Uppsala, Dordrecht/Boston/London: Kluwer, pp. 297-310. 
  16. Heinzmann, Gerhard1995Zwischen Objektkonstruktion und Strukturanalyse, Göttingen : Vandenhoeck & Ruprecht, 166 p. Zbl0846.00002
  17. Heinzmann, Gerhard1998Poincarés Grundlegung der Geometrie, to appear, Kaiserslautern. 
  18. Helman, Glen1992Proof and Epistemic Structure, in: Detlefsen 1992, 24-56. 
  19. Herreman, Alain1996L'histoire sémiotique du concept d'homologie, Thèse de doctorat, Université Paris VII. 
  20. Herreman, Alain1997Le statut de la géométrie dans quelques textes sur l'homologie de Poincaré aux années 1930, Revue d'histoire des mathématiques 3, 241-293. Zbl0973.01028
  21. Jourdain, Philip1912For Logicists, The Monist XXII, 481-483. 
  22. Kitcher, Philip1984The Nature of mathematical knowledge, New York/Oxford: Oxford University Press. Zbl0519.00022
  23. Lakatos, Imre1986What Does a Mathematical Proof Prove ?, in: T. Tymoczko (ed.) New Directions in the Philosophy of Mathematics, Boston/Basel/Stuttgart: Birkhäuser, 153-162. 
  24. Lorenz, Kuno1986La logique et le problème de la rigueur (rapport sur la conférence de E. Agazzi), in: Mérites et limites des méthodes logiques en philosophie, éd. J. Vuillemin, Paris: Vrin, 41-46. 
  25. Peirce, Charles Sanders1933-58Collected Papers (Eds. Ch. Hartshorne/P. Weiss), Volume I-VI, Cambridge Mass: Belknap Press. JFM62.1043.05
  26. Poincaré, Henri DP Dernières pensées, Paris Flammarion, 1913; cited edition: 1963. 
  27. Poincaré, Henri SH La science et l'hypothèse, Paris: Flammarion, 1968; translation: Science and Hypothesis, London: The Walter Scott Publ., 1905. JFM34.0080.12
  28. Poincaré, Henri SM Science et méthode, Paris: Flammarion 1908; translation: Science and Method, London/New York: Thomas neldon & Sons, s. d. JFM39.0095.03
  29. Poincaré, Henri VS La valeur de la science, Paris: Flammarion, 1970; translation: The Value of Science, New York: Dover 1958. 
  30. Poincaré, Henri1890Notice sur Halphen. Journal de l'Ecole Polytechnique, cah. 6O, pp. 137-161. JFM22.0024.02
  31. Poincaré, Henri1892Sur l'Analysis situs, reprinted in Poincaré 1928-1956, t. VI, 189-192. 
  32. Poincaré, Henri1895Analysis Situs, reprinted in Poincaré 1928-1956, t. VI, 193-288. 
  33. Poincaré, Henri1898On the Foundations of Geometry, The Monist IX, 1-43. Zbl34.0068.01JFM29.0415.06
  34. Poincaré, Henri1899Complément à l'Analysis situs, reprinted in Poincaré 1928-1956, t. VI, 290-337. 
  35. Poincaré, Henri1902Les fondements de la géométrie. Bulletin des sciences mathématiques 26, 249-272; reprinted in Poincaré 1928-1956, t. 11, pp. 92-113. 
  36. Poincaré, Henri1906Les mathématiques et la logique, Revue de métaphysique et de morale 14, pp. 17-34; reprinted in Heinzmann 1986, pp. 11-53 JFM37.0060.01
  37. Poincaré, Henri1909La logique de l'infini. RMM 17, pp. 461-482, reprinted in Heinzmann 1986, pp. 235-256. JFM40.0097.06
  38. Poincaré, Henri1921Analyse des travaux scientifiques de H. P. faite par lui-même, Acta mathematica 38, pp. 3-135, reprinted in: F. E. Browder (Ed.), The Mathematical Heritage of H. P., II, Proc. Symp. in Pure Math. 39, 1983, pp. 257-357. 
  39. Poincaré, Henri1928-1956Oeuvres, publiées sous les auspices de l'academie des Sciences, tome 1-11, Paris: Gauthier-Villars. JFM16.0025.03
  40. Resnik, Michael D.1996On Understanding Mathematical Proofs, in : Greffe et al. 1996, 459-466. Zbl0853.01023
  41. Scholz, Erhard1980Geschichte des Mannigfaltigkeitsbegriffes von Riemann bis Poincaré, Boston/Basel/Stuttgart: Birkhäuser. Zbl0438.01004
  42. Stenlund, Sören1996Poincaré and the Limits of Formal Logic, in: Greffe et al. 1996, 467-479. Zbl0854.01033
  43. Suppes, Patrick1957Introduction to Logic, New York: Van Nostrand. Zbl0077.01105
  44. Volkert, Klaus1994Das Homöomorphieproblem, insbesondere der 3-Mannigfaltigkeiten in der Topologie, 1892-1935, Habilitationsschrift, Heidelberg 1994; to appear by Birkhäuser 1999. 

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