Selected Works of Poincaré Referenced Above

• 1882, “Sur les Fonctions Fuchsiennes.” Comptes rendus hebdomadaires de l’Académie des sciences de Paris, 94: 1166–1167. (Scholar)
• 1898, “On the Foundations of Geometry.” The Monist, 9: 1–43. (Scholar)
• 1899, “Des Fondements de la Géométrie: A propos d’un Livre de M. Russell.” Revue de Métaphysique et de Morale, 7: 251–279. (Scholar)
• 1900, “Sur les Principles de Géométrie: réponse à M. Russell.” Revue de Métaphysique et de Morale, 8: 73–86. (Scholar)
• 1902, La Science et L’Hypothése, Paris: Flammarion, 1968. Translation in 1913b. (Scholar)
• 1905a, “The Principles of Mathematical Physics.” in The Congress of Arts and Science, Universal Exposition St. Louis, Volume 1, Boston and New York: Houghton, Mifflin, 604–622. (Scholar)
• 1905b, La Valeur de la Science, Paris: Flammarion, 1970. Translation in 1913b. (Scholar)
• 1905c, “Les Mathématiques et la Logique.” Revue de Métaphysique et de Morale 13: 815–835. (Scholar)
• 1906, “Sur la Dynamique de l’électron.” Rendiconti del Circolo Matematico di Palermo 21: 129–176. Cited according to the reprinting in: &Oelig;uvres, IX (1956): 494–550.
• 1908, Science et Methode, Paris: Flammarion, 1920, rpt. Paris: Kimé, 1999. Translation in 1913b.
• 1909, “La Logique de l’infini.” Revue de Métaphysique et de Morale, 17: 461–482.
• 1913a, Dernières Pensées, Paris: Flammarion, 1963 (translated in Poincaré 1963). (Scholar)
• 1913b, The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method, translations of Poincaré 1902, 1905b & 1908, University Press of America, 1982.
• 1921, “Rapport sur les Travaux de M. Cartan (fait à la Faculté des sciences de l’Université de Paris).” Acta Mathematica, 38(1): 137–145. (Scholar)
• 1956, Oeuvres, 11 Volumes. Paris: Gauthier-Villars.
• 1963, Mathematics and Science: Last Essays, translation of Poincaré 1913a, New York: Dover. (Scholar)
• 2017, Science and Hypothesis: The Complete Text (translation of Poincaré 1902), Mélanie Frappier, Andrea Smith, and David J. Stump (trans.), London and New York: Bloomsbury. (Scholar)

Secondary Literature Mentioned in this Article

• Ajdukiewicz, K., 1978, The Scientific World-Perspective and other Essays, 1931–1963, edited and with an introduction by J. Giedymin, Dordrecht/Boston: Reidel. (Scholar)
• Benrubi, I., 1928, Philosophische Strömungen der Gegenwart in Frankreich, Leipzig: Meiner. (Scholar)
• Bellivier, A., 1956, Henri Poincaré ou la Vocation Souveraine, Paris: Gallimard. (Scholar)
• Boutroux, A., 2012, Vingt Ans de Ma Vie, Simple Vérité: La jeunesse d’Henri Poincaré Racontée par sa Sœur (1854–1878), edited by L. Rollet, Paris: Hermann. (Scholar)
• Boutroux, P., 1914, “L’œuvre philosophique”, in Henri Poincaré. L’œuvre scientifique, L’œuvre philosophique, Paris: Alcan, pp. 205–264.
• Brenner, A., 2003, Les Origines Françaises de la Philosophie des Sciences, Paris: Presses Universitaires de France. (Scholar)
• Brouwer, L. E. J., 1907, Over de Grondlagen der Wiskunde, cited according to the reprinting in A. Heyting (ed.), Brouwer (Collected Works: Volume 1), Amsterdam/Oxford/New York: North-Holland/Elsevier, 1975, pp. 11–101. (Scholar)
• –––, 1912, “Intuitionism and Formalism” (Inaugural address, read 1912), in Brouwer, Collected Works 1, A. Heyting (ed.), Amsterdam/Oxford/New York: North-Holland/Elsevier, 1975: 123–138. (Scholar)
• Browder, F. E. (ed.), 1983, The Mathematical Heritage of Henri Poincaré (Proceedings of Symposia in Pure Mathematics of the American Mathematical Society, Volume 39), 2 volumes, Providence: American Mathematical Society. (Scholar)
• Campbell, D. T., 1987 [1960], “Blind Variation and Selective Retention in Creative Thought as in Other Knowledge Processes”, in Evolutionary Epistemology: Rationality and the Sociology of Knowledge, G. Radnitzky & W. W. Bartley (eds.), LaSalle, IL: Open Court, pp. 91–114. (Scholar)
• Cantor, G., 1991, Briefe, H. Meschkowski and W. Nilson (eds.), Berlin/Heidelberg/New York: Springer. (Scholar)
• Cassirer, E., 1910, Substanzbegriff und Funktionsbegriff, Darmstadt: Wissenschaftliche Buchgesellschaft (1990). English in Substance and Function and Einstein’s Theory of Relativity, Chicago: Open Court, 1923. (Scholar)
• Charpentier, E., E. Ghys, and A. Lesne (eds.), 2010, The Scientific Legacy of Poincaré, Providence, RI: American Mathematical Society; London: London Mathematical Society. (Scholar)
• Coffa, J. A., 1986, “From Geometry to Tolerance: Sources of Conventionalism in 19th Century Geometry”, in From Quarks to Quasars: Philosophical Problems of Modern Physics, R. G. Colodny (ed.), Pittsburgh: University of Pittsburgh Press, pp. 3–70. (Scholar)
• –––, 1991, The Semantic Tradition from Kant to Carnap: To the Vienna Station, Cambridge: Cambridge University Press. (Scholar)
• Darrigol, O., 2004, “The Mystery of the Einstein-Poincaré connection”, Isis, 95: 614–626. (Scholar)
• Décaillot, A. M., 2008, Cantor et la France. Correspondance du mathématicien allemand avec les Français à la fin du XIXe siècle. Paris: Kimé. (Scholar)
• Décimo, M., 2006, Maurice Princet: le mathématicien du cubisme, Paris: l’Echoppe. (Scholar)
• de Paz, M., 2021, “Poincaré, Le Roy, and the Nouveau positivisme”, HOPOS: The Journal of the International Society for the History of Philosophy of Science, 11(2): 446–460. doi.org:10.1086/715880. (Scholar)
• Detlefsen, M., 1986, Hilbert’s Program: An Essay on Mathematical Instrumentalism, Dordrecht/Boston/Lancaster/Tokoyo: Reidel. (Scholar)
• –––, 1992, “Poincaré against the Logicians”, Synthese, 90: 349–378. (Scholar)
• –––, 1993, “Logicism and the Nature of Mathematical Reasoning”, in Russell and Analytical Philosophy, A. Irvine & G. Wedekind (eds.), Toronto: Toronto University Press, pp. 265–292. (Scholar)
• Dingler, H., 1931, Philosophie der Logik und Arithmetik, München: Reinhardt. (Scholar)
• DiSalle, R., 2014, “Poincaré on the Construction of Space-Time”, in Poincaré, Philosopher of Science, M. de Paz and R. DiSalle (eds.), Dordrecht: Springer: 167–183. (Scholar)
• Dunlop, K., 2016 “Poincaré on the Foundations of Arithmetic and Geometry, Part 1: Against ‘Dependence-Hierarchy’ Interpretations”, HOPOS (The Journal of the International Society for the History of Philosophy of Science), 6(2): 274–308. (Scholar)
• –––, 2017 “Poincaré on the Foundations of Arithmetic and Geometry, Part 2: Intuition and Unity in Mathematics”, HOPOS (The Journal of the International Society for the History of Philosophy of Science), 7(1): 88–107. (Scholar)
• Einstein, A., 1921, “Geometry and Experience”, in Sidelights on Relativity, New York: Dover, 1983, pp. 27–56. (Scholar)
• Feferman, S., 1964, “Systems of Predicative Analysis”, The Journal of Symbolic Logic, 29: 1–30. (Scholar)
• Folina, J., 1992, Poincaré and the Philosophy of Mathematics, London: MacMillan. (Scholar)
• –––, 2019, “Science, Hypothesis, and Hierarchy: Essay Review of Poincaré, Science and Hypothesis: the Complete Text”, HOPOS: The Journal of the International Society for the History of Philosophy of Science, 9 (2): 388–406. (Scholar)
• –––, 2020, “Poincaré and the Prehistory of Mathematical Structuralism”, in The Prehistory of Mathematical Structuralism, Erich Reck and Georg Schiemer (eds.), Oxford: Oxford University Press, pp. 273–302. (Scholar)
• Friedman, M., 1999, Reconsidering Logical Positivism, Cambridge: Cambridge University Press. (Scholar)
• –––, 2007, “Coordination, Constitution, and Convention: The Evolution of the A Priori in Logical Empiricism”, in The Cambridge Companion to Logical Empiricism, A. Richardson and T. Uebel (eds.), Cambridge: Cambridge University Press, pp. 91–116. (Scholar)
• Galison, P., 2003, Einstein’s Clocks and Poincaré’s Maps: The Empire of Time, New York: W. W. Norton and Co. (Scholar)
• Ginoux, J.-M. and C. Gerini, 2012, Henri Poincaré: Une biographie au(x) Quotidian(s), Paris: Ellipses. (Scholar)
• Gleizes, A. and J. Metzinger, 1912, Du Cubisme, Paris: Édition Figuière. English translation in Robert L. Herbert, Modern Artists on Art, Englewood Cliffs, 1964. (Scholar)
• Glymour, C. and F. Eberhardt, 2012, “Hans Reichenbach”, The Stanford Encyclopedia of Philosophy (Winter 2012 Edition), Edward N. Zalta (ed.), URL=<https://plato.stanford.edu/archives/win2012/entries/reichenbach/> (Scholar)
• Goldberg, S., 1967, “Henri Poincaré and Einstein’s Theory of Relativity”, American Journal of Physics, 35: 934–944. (Scholar)
• Goldfarb, W., 1985, “Poincaré against the Logicists”, in History and Philosophy of Modern Mathematics, W. Aspray & P. Kitcher (eds.), Minneapolis: Minnesota Press, pp. 61–81. (Scholar)
• Goodman, N., 1969, Languages of Art. An Approach to a Theory of Symbols, London: Oxford University Press. (Scholar)
• Gray, J. J., 1991, “Did Poincaré say ‘Set Theory is a Disease’?” Mathematical Intelligencer, 13(1): 19–22. (Scholar)
• –––, 2008, Plato’s Ghost: The Modernist Transformation of Mathematics, Princeton: Princeton University Press. (Scholar)
• –––, 2012, Henri Poincaré. A Scientific Biography, Princeton and Oxford: Princeton University Press. (Scholar)
• Greffe, J.-L., Gerhard H., and K. Lorenz, 1996, Henri Poincaré. Wissenschaft und Philosophie, Berlin/Paris: Akademie Verlag/Blanchard. (Scholar)
• Grünbaum, A., 1968, Geometry and Chronmetry in Philosophical Perspective, Minneapolis: University of Minnesota Press. (Scholar)
• Henderson, L. D., 1983, The Fourth Dimension and non-Euclidean Geometry in Modern Art, Princeton, NJ: Princeton University Press. (Scholar)
• Heinzmann, G., 1985, Entre intuition et analyse: Poincaré et le concept de prédicativité, Paris: Blanchard. (Scholar)
• –––, 1986 (ed.), Poincaré, Russell, Zermelo et Peano. Textes de la discussion (1906–1912) sur les fondements des mathématiques: des antinomies à la prédicativité, Paris: Blanchard.
• –––, 1995, Zwischen Objektkonstruktion und Strukturanalyse. Zur Philosophie der Mathematik bei Henri Poincaré, Göttingen: Vandenhoek & Ruprecht. (Scholar)
• –––, 2010, “Henri Poincaré and his Thoughts on the Philosophy of Science”, in The Scientific Legacy of Poincaré, E. Charpentier, E. Ghys, and A. Lesne (eds.), co-publication of the American Mathematical Society and London Mathematical Society, Providence: American Mathematical Society, pp. 373–388. (Scholar)
• –––, 2016, “Poincaré and the Analytic Tradition”, Al–Mukhatabat, 17 (January): 13–36. (Scholar)
• Heinzmann, G. and P. Nabonnand, 2008, “Poincaré, Intuitionism, Intuition and Convention” in One Hundred Years of Intuitionism (1907–2007), M. v. Atten, P. Boldini, M. Bordeau & G. Heinzmann (eds), Basel/Boston/Berlin: Birkhäuser, pp. 163–177. (Scholar)
• Hilbert, D., 1899, Grundlagen der geometrie, Leipzig: B.G. Teubner; translated as Foundations of Geometry, by E. J. Townsend, Chicago: The Open Court Publishing Co., 1902. (Scholar)
• Hintikka, J., 2012, “IF Logic, Definitions and the Vicious Circle Principle”, Journal of Philosophical Logic, 41(2): 505–517. (Scholar)
• Hsu, J.-P. and Y.-Z. Zhang, 2001, Lorentz and Poincaré Invariance. 100 Years of Relativity, New Jersey, London, Singapore, Hong Kong: World Scientific. (Scholar)
• Kreisel, G., 1960, “La prédicativité”, Bulletin de la Société mathématique de France, 88: 371–391. (Scholar)
• Kronfeldner, M. E., 2011, Darwinian Creativity and Memetics, Durham: Acumen. (Scholar)
• Ladyman, J., 2009, “Structural Realism”, The Stanford Encyclopedia of Philosophy (Summer 2009 Edition), Edward N. Zalta (ed.), URL=<https://plato.stanford.edu/archives/sum2009/entries/structural-realism/>. (Scholar)
• Le Roy, É., 1901, “Un Positivisme Nouveau”, Revue de Métaphysique et de Morale, 9: 138–153. (Scholar)
• Lindemann, C.L.F., 1904, Henri Poincaré, Wissenschaft und Hypothese. Autorisierte deutsche Ausgabe mit erläuternden Anmerkungen, Leipzig: Teubner. (Scholar)
• Linnebo, Ø., 2011, “Platonism in the Philosophy of Mathematics”, The Stanford Encyclopedia of Philosophy (Summer 2011 Edition), Edward N. Zalta (ed.), URL=<https://plato.stanford.edu/archives/sum2011/entries/platonism-mathematics/> (Scholar)
• Lorenzen, P., 1955, Einführung in die operative Logik und Mathematik, Berlin/Heidelberg/New York: Springer. (Scholar)
• –––, 1965, Differential und Integral. Eine konstruktive Einführung in die klassische Analysis, Frankfurt: Akademische Verlagsgesellschaft. (Scholar)
• McMorran, C., 2020, Joyce and Geometry, Gainsville: University Press of Florida. (Scholar)
• Mette, C., 1986, Invariantentheorie als Grundlage des Konventionalismus. Überlegungen zur Wissenschaftstheorie Jules Henri Poincarés, Essen: Die blaue Eule. (Scholar)
• Meunier, E., 1919, Henri Poincarés Theorie der wissenschaftlichen Methodik, München: A. Fröhlich. (Scholar)
• Miller, A. I., 1984, Imagery in Scientific Thought: Creating 20th Century Physics, Boston: Birkhäuser. (Scholar)
• –––, 1992, “Scientific Creativity: A Comparative Study of Henri Poincaré and Albert Einstein”, Creativity Research Journal, 5: 385–418. (Scholar)
• –––, 1996a, “Why did Poincaré not formulate Special Relativity in 1905?” in Henri Poincaré. Wissenschaft und Philosophie, J. L. Greffe, G. Heinzmann and K. Lorenz (eds.), Berlin/Paris: Akademie Verlag/Blanchard, pp. 69–100. (Scholar)
• –––, 1996b, Insights of genius: imagery and creativity in science and art, New York: Copernicus. (Scholar)
• –––, 1997, “Cultures of creativity: mathematics and physics”, Diogenes, 45(177): 53–72. (Scholar)
• Moulines, U., c.2006, La philosophie des sciences. L’invention d’une discipline, Paris: Editions Rue d’Ulm. (Scholar)
• Nabonnand, P. (ed.), 1999, La Correspondance entre Henri Poincaré et Gösta Mittag-Leffler, Basel/Boston/Berlin: Birkhäuser. (Scholar)
• Nagel, E., 1939 [1979], “The Formation of Modern Conceptions of Formal Logic in the Development of Geometry”, in Teleology Revisited and Other Essays in the Philosophy and History of Science, New York: Columbia University Press, pp. 195–259; reprinted from Osiris, 7 (1939): 142–224. (Scholar)
• Nye, M. J., 1979, “The Boutroux Circle and Poincaré’s Conventionalism”, Journal of the History of Ideas, 40: 107–120. (Scholar)
• Oberdan, T., 2009, “Geometry, Convention, and the Relativized Apriori: The Schlick–Reichenbach Correspondence”, in Stationen. Dem Philosophen und Physiker Moritz Schlick zum 125. Geburtstag, F. Stadler, H. J. Wendel and E. Glassner (eds.), Vienna: Springer, pp. 186–211. (Scholar)
• Parrini, P., 1998, Knowledge and Reality: an essay in positive philosophy. Dordrecht and Boston: Kluwer Academic Publishers. (Scholar)
• Paty, M., 1993, Einstein philosophe, Paris: Presses Universitaires de France. (Scholar)
• Popper, K., 2007,The Two Fundamental Problems of the Theory of Knowledge, T. E. Hansen (ed.), A. Pickel (trans.), London: Routledge. (Scholar)
• Quine, W. V. O., 1969, Ontological Relativity and Other Essays, New York: Columbia University Press. (Scholar)
• –––, 1986, “Reply to Charles Parsons”, in The Philosophy of W. V. O. Quine, La Salle: Open Court, pp. 396–403 (Scholar)
• –––, 1990, Pursuit of Truth, Cambridge, MA: Harvard University Press. (Scholar)
• Reichenbach, H., 1920 [tr. 1965], The Theory of Relativity and A Priori Knowledge, Berkeley: University of California Press.
• –––, 1928 [tr. 1958], Philosophy of Space and Time, New York: Dover.
• Richards, J. L., 1994, “The Philosophy of Geometry to 1900”, in Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, I. Grattan-Guiness (ed.), London: Routledge, pp. 913–919. (Scholar)
• Rodych, V., 2011, “Wittgenstein’s Philosophy of Mathematics”, The Stanford Encyclopedia of Philosophy (Summer 2011 Edition), Edward N. Zalta (ed.), URL=<https://plato.stanford.edu/archives/sum2011/entries/wittgenstein-mathematics/> (Scholar)
• Rollet, L., 1999, “Autour de l’Affaire Dreyfus : Henri Poincaré et l’action politique”, Revue historique, CCXCVIII (3): 49–101. (Scholar)
• –––, 2000, Des Mathématiques à la Philosophie: Etude du parcours intellectuel, social et politique d’un mathématicien au début du siècle, Villeneuve d’Asq: Presses Universitaires du Septentrion. (Scholar)
• –––, 2012, (Ed.) Aline Boutroux, Vingt ans de ma vie … Simple vérité: La jeunesse d’Henri Poincaré à Nancy racontée par sa sœur (1854–1878), Paris: Hermann. (Scholar)
• –––, 2017, (Ed.) La Correspondance de Jeunesse d’Henri Poincaré—Les Années de Formation, de l’École polytechnique à l’École des mines (1873–1878), Basel: Birkhäuser. (Scholar)
• Rosenthal-Schneider, I., 1914, “Raum, Zeit und ihre Relativität bei Poincaré”, in Herrn Geheimrat Professor Dr. phil. et H.LL. D. Alois Riehl zum siebzigsten Geburtstag. Kleine Abhandlungen von Schülern seines Seminars, Berlin: Verlag H. Lonys, pp. 91–130. (Scholar)
• Rouché, A., 2008, Relativité restreinte. La contribution d’Henri Poincaré, Paris : Les Editions de l’Ecole Polytechnique. (Scholar)
• Rougier, L., 1920, La philosophie géométrique de Henri Poincaré, Paris: Alcan. (Scholar)
• Russell, B., 1973 [1906], “On ‘Insolubilia’ and their Solution by Symbolic Logic”, Reprinted in Essays in Analysis, D. Lackey (ed.), London: George Allen & Unwin, pp. 190–214. (Scholar)
• Schlick, M., 1918 [rev. 1925], Allgemeine Erkenntnislehre, 2nd edition, Berlin: J. Springer; translated by Albert E. Blumberg as General Theory of Knowledge, New York: Springer, 1974.
• –––, 1932, “The Future of Philosophy”, in College of the Pacific Publications in Philosophy, I, 1932, 45–62; quoted from “Form and Content, an Introduction to Philosophical Thinking” in M. Schlick, Gesammelte Aufsätze, 1926–1936. Vienna: Gerold, 1938, 117–134. (Scholar)
• –––, 1935, “Are Natural Laws Conventions?”, in Readings in the Philosophy of Science, H. Feigl and M. Brodbeck (eds.), New York: Appleton Cenutury Crofts, pp. 181–188. (Scholar)
• Simonton, D. K., 1988, Scientific Genius: A Psychology of Science, Cambridge: Cambridge University Press. (Scholar)
• –––, 1995, “Foresight in Insight? A Darwinian Answer”, in The Nature of Insight, R. J. Sternberg & J. E. Davidson (eds.), Cambridge, MA: MIT Press, pp. 465–94. (Scholar)
• –––, 1999. Origins of Genius: Darwinian Perspectives on Creativity, Oxford: Oxford University Press. (Scholar)
• Sklar, L., 1975, “Methodological Conservatism”, Philosophical Review, 84: 384–400. (Scholar)
• Stanford, K., 2009, “Underdetermination of Scientific Theory”, The Stanford Encyclopedia of Philosophy (Winter 2009 Edition), Edward N. Zalta (ed.), URL=<https://plato.stanford.edu/archives/win2009/entries/scientific-underdetermination/> (Scholar)
• Stump, D. J., 1989, “Henri Poincaré’s Philosophy of Science”, Studies in History and Philosophy of Science, 20 (3): 335–363. (Scholar)
• –––, 2017, “Forward” in Science and Hypothesis: The Complete Text by Henri Poincaré, New York and London: Bloombury, pp. vii-xxi. (Scholar)
• Torretti, R., 1978, Philosophy of Geometry from Riemann to Poincaré, Dordrecht: D. Reidel. (Scholar)
• Walter, S., 2007, La correspondance entre Henri Poincaré et les physiciens, chimistes et ingénieurs, Basel/Boston/Berlin: Birkhäuser. (Scholar)
• –––, 2009, “Hypothesis and convention in Poincaré’s defense of Galilei spacetime”, in The Significance of the Hypothetical in the Natural Sciences, M. Heidelberger and G. Schiemann (eds.), Berlin: Walter de Gruyter, pp. 193–219. (Scholar)
• –––, 2010, “Moritz Schlick’s Reading of Poincaré’s Theory of Relativity”, in Moritz Schlick: Ursprünge und Entwicklungen seines Denkens, F. O. Engler and M. Iven (eds.), Berlin: Parerga, pp. 191–203. (Scholar)
• –––, 2011, “Henri Poincaré, theoretical physics and relativity theory in Paris”, in Mathematics Meets Physics, K.-H. Schlote and M. Schneider (eds.), Frankfurt am Main: Harri Deutsch, pp. 213–239. [Walter 2011 available online] (Scholar)
• –––, 2012, “Hypothesis and Convention in Poincaré’s Defense of Galilei Spacetime”, in Significance of the Hypothetical in the Natural Sciences., M. Heidelberger and G. Schiemann (eds.), Berlin: Walter de Gruyter, pp. 193–219. (Scholar)
• Walter, S, (Ed), Nabonnand, Ph., Krömer, R., Schiavon, M. (Ed. ass), 2016, La correspondence entre Henri Poincaré, les astronomes, et les géodésiens. Springer-Birkhäuser. (Scholar)
• Worrall, J., 1989, “Structural Realism: The Best of Both Worlds?” Dialectica, 43: 99–124. (Scholar)
• Weyl, H., 1918, Das Kontinuum: Kritische Untersuchungen über die Grundlagen der Analysis, Leipzig: Velag von Veit & Comp; translated as The Continuum: A Critical Examination of the Foundations of Analysis, S. Pollard and T. Bole (trans.), Kirksville, MO: Thomas Jefferson University Press, 1987. LaSalle: Open Court. (Scholar)
• Zahar, E., 2001, Poincaré’s Philosophy. From Conventionalism to Phenomenology, LaSalle: Open Court. (Scholar)