Linked bibliography for the SEP article "Mathematical Style" by Paolo Mancosu

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  • Baker, A., 2008, “Experimental mathematics”, Erkenntnis, 68: 331–344. (Scholar)
  • Bense, M., 1946, Konturen einer Geistesgeschichte der Mathematik. Die Mathematik und die Wissenschaften, Hamburg: Claassen & Goverts. Now in Max Bense, Ausgewählte Schriften, Band 2, Philosophie der Mathematik, Naturwissenschaft und Technik, Weimar: Verlag J. B. Metzler, Stuttgart, 1998 (see ch. 2 “Stilgeschichte in der Mathematik”). (Scholar)
  • Bense, M., 1949, Konturen einer Geistesgeschichte der Mathematik. II. Die Mathematik in der Kunst, Hamburg: Claassen & Goverts. Now in Max Bense, Ausgewählte Schriften, Band 2, Philosophie der Mathematik, Naturwissenschaft und Technik, Weimar: Verlag J. B. Metzler, Stuttgart, 1998 (see ch. 1 “Zum Begriff des Stils”). (Scholar)
  • Bieberbach, L., 1934a, Kurzreferat, Forschungen und Fortschritte, 10: 235–237. (Scholar)
  • Bieberbach, L., 1934b, “Persönlichkeitsstruktur und mathematisches Schaffen”, Unterrichtblätter für Mathematik und Naturwissenschaften, 40: 236–243. (Scholar)
  • Bieberbach, L., 1934c, “Stilarten mathematischen Schaffens”, Sitzungsbericht der preußischen Akademie der Wissenschaften, 351–360. (Scholar)
  • Borromeo Ferri, R., 2005, Mathematische Denkstile. Ergebnisse einer empirische Studie, Hildesheim: Verlag Franzbecker. (Scholar)
  • Bottazzini, U., 2001, “From Paris to Berlin: Contrasted Images of nineteenth-century mathematics”, in U. Bottazzini, A. Dahan Dalmedico, (eds.), 2001, pp. 31–47. (Scholar)
  • Bottazzini, U., and Dahan Dalmedico, A., (eds.), 2001, Changing Images of Mathematics, London: Routledge. (Scholar)
  • Brigaglia, A., 2001, “The creation and persistence of national schools: the case of Italian algebraic geometry”, in U. Bottazzini, A. Dahan Dalmedico, (eds.), 2001, pp. 187–206. (Scholar)
  • Cavalieri, B., 1635, Geometria Indivisibilibus Continuorum Nova Quadam Ratione Promota, Bologna: Clemente Ferroni. (Scholar)
  • Chasles, M., 1837, Aperçu Historique sur l'Origine et le Développement des Méthodes en Géométrie, Bruxelles: M. Hayez. (Scholar)
  • Chevalley, C., 1935, “Variations du style mathématique”, Revue de Metaphysique et de Morale, 3: 375–384. (Scholar)
  • Cohen, I.B., 1992, “The Principia, universal gravitation and the ‘Newtonian style,’ in relation to the Newtonian revolution in science”, in Bechler, Z., (ed.), Contemporary Newtonian Research, Dordrecht: Reidel, pp. 21–108. (Scholar)
  • Corfield, D., 2003, Towards a Philosophy of ‘Real’ Mathematics, Cambridge: Cambridge University Press. (Scholar)
  • Corry, L., 2004a, Modern Algebra and the Rise of Mathematical Structure, Basel: Birkhäuser; 2nd edition. (Scholar)
  • Corry, L., 2004b, “Introduction”, Science in Context, 17: 1–22. (Scholar)
  • Crombie, A., 1994, Styles of Scientific Thinking in the European Tradition, London: Duckworth. (Scholar)
  • de Gandt, F., 1986, “Le style mathématique des “Principia” de Newton”, Revue d'Histoire des Sciences, 39 (3): 195–222. (Scholar)
  • de Lorenzo, J., 1971, Introducción al estilo matematico, Madrid: Editorial Tecnos. (Scholar)
  • Dhombres, J., 1993, La figure dans le discours géométrique: les façonnages d'un style, Nantes: Université de Nantes. (Scholar)
  • Dubucs, J. and Dubucs, M., 1994, “La couleur des preuves”, in V. de Coorebyter, (ed.), Structures rhétorique en science, Paris: PUF, pp. 231–249. (Scholar)
  • Duhem, P., 1915, La Science Allemande, Paris: Hermann. English translation: German Science, Chicago: Carus Publishing, 2000. (Scholar)
  • Edwards, H.M., 1987, “Dedekind's invention of ideals”, in Phillips, E., Studies in the History of Mathematics, Washington: The Mathematical Association of America, pp. 8–20. (Scholar)
  • Epple, M., 1997, “Styles of argumentation in the late 19th century geometry and the structure of mathematical modernity”, in M. Otte and M. Panza (eds.), Analysis and Synthesis in Mathematics, Dordrecht: Kluwer, pp. 177–198. (Scholar)
  • Epple, M., 2004, “Knot Invariants in Vienna and Princeton during the 1920s: Epistemic configurations of mathematical research”, Science in Context, 17: 131–164. (Scholar)
  • Etcheverría, J., 1996, “Empirical methods in mathematics. A case study: Goldbach's conjecture”, in G. Munévar (ed.), Spanish Studies in the Philosophy of Science, Dordrecht: Kluwer, pp. 19–55. (Scholar)
  • Fleck, L., 1935, Entstehung und Entwicklung einer wissenschaftlichen Tatsache. Einführung in die Lehre vom Denkstil und Denkkollektiv, Basel: Schwabe. English translation: Genesis and Development of a Scientific Fact (Translated into English by Frederick Bradley), Chicago: University of Chicago Press, 1979. (Scholar)
  • Fleckenstein, J.O., 1955, “Stilprobleme des Barock bei der Entdeckung der Infinitesimalrechnung”, Studium Generale, 8: 159–166. (Scholar)
  • Freudenthal, H., 1975, Mathematics as an Educational Task, Dordrecht: Reidel. (Scholar)
  • Gavroglu, K., 1990, “Differences in Style as a Way of Probing the Context of Discovery”, Philosophia, 45: 53–75. (Scholar)
  • Gayon, J., 1996, “De la catégorie de style en histoire des sciences”, Alliage, 26: 13–25. (Scholar)
  • Gayon, J., 1998, “De l'usage de la notion de style en histoire des sciences”, in J. Gayon et al. (eds.), La Rhétorique: Enjeux de ses Résurgences, Bruxelles: OUSIA, pp. 162–181. (Scholar)
  • Goldstein, C., 2001, “L'expérience des nombres de Bernard Frenicle de Bessy”, Revue de Synthèse, 122: 425–454. (Scholar)
  • Granger, G.G., 1968, Essai d'une philosophie du style, Paris: Armand Colin, reprinted with corrections by Paris: Odile Jacob. (Scholar)
  • Granger, G.G., 2003, “Le style mathématique de l'Académie platonicienne”, in G. G. Granger, Philosophie, Langage, Science, Les Ulis: EDP Science, pp. 267–294. (Scholar)
  • Hacking, I., 1992, “‘Style’ for historians and philosophers”, Studies in History and Philosophy of Science, 23: 1–20. (Scholar)
  • Hacking, I., 1995, “Immagini radicalmente costruzionaliste del progresso matematico”, in A. Pagnini, Realismo/Antirealismo, Firenze: La Nuova Italia, pp. 59–92. (Scholar)
  • Hacking, I., 1996, “The disunities of science”, in P. Galison and D. Stump, The Disunity of Science: Boundaries, Context and Power, Stanford: Stanford University Press, pp. 37–74. (Scholar)
  • Hacking, I., 2002, Historical Ontology, Cambridge, MA: Harvard University Press. (Scholar)
  • Harwood, J., 1993, Styles of Scientific Thought—The German Genetics Community, 1900–1933, Chicago: The University of Chicago Press. (Scholar)
  • Høyrup, J., 2005, “Tertium non datur: on reasoning styles in early mathematics”, in P. Mancosu (ed.), Visualization, Explanation and Reasoning Styles in Mathematics, Dordrecht: Springer, pp. 91–121. (Scholar)
  • Katz, S., 2004, “Berlin roots—Zionist incarnation: the ethos of pure mathematics and the beginning of the Einstein Institute of mathematics at the Hebrew University of Jerusalem”, Science in Context, 17: 199–234. (Scholar)
  • Klein, F., 1924, Elementarmathematik vom höheren Standpunkte aus. Erster Band. Arithmetik, Algebra, Analysis, 3rd edition, Berlin: Julius Springer. (Scholar)
  • Kleinert, A., 1978, “Von der Science Allemande zur Deutschen Physik”, Forschungen zur westeuropäischer Geschichte, 6: 509–525. (Scholar)
  • Laugwitz, D., 1993, Zur Genese des Denkens in mathematischen Begriffen: Bernhard Riemanns neuer Stil in der Analysis, Darmstadt. (Scholar)
  • Leibniz, G.W., 1701, “Mémoire de Mr. Leibniz touchant son sentiment sur le calcul différentiel”, Journal de Trévoux, 270–272. Reprinted in G. W. Leibniz, Mathematische Schriften (Edited by C.I. Gerhardt), Hildesheim: Georg Olms, 1962, vol. IV, pp. 95–96. (Scholar)
  • Maienschein, J., 1991, “Epistemic Styles in German and American Embryology”, Science in Context, 4: 407–427. (Scholar)
  • Mancosu, P. (ed.), 1998, From Brouwer to Hilbert, New York and Oxford: Oxford University Press. (Scholar)
  • Mancosu, P. (ed.), 2005, Visualization, Explanation and Reasoning Styles in Mathematics, Dordrecht: Springer. (Scholar)
  • Mannheim, K., 1929, Ideologie und Utopie, Bonn: F. Cohen. English translation: Ideology and utopia: an introduction to the sociology of knowledge, New York: Harcourt, Brace, and World, 1968. (Scholar)
  • Mehrtens, H., 1987, “Ludwig Bieberbach and ‘Deutsche Mathematik’”, in E. R. Philipps, Studies in the History of Mathematics, Washington: The Mathematical Association of America, pp. 195–241. (Scholar)
  • Mehrtens, H., 1990a, “Der französische Stil und der deutsche Stil. Nationalismus, Nationalsozialismus und Mathematik, 1900–1940”, in Y. Cohen and K. Manfrass (eds.), Frankreich und Deutschland: Forschung, Technologie und industrielle Entwicklung im 19. und 20. Jahrhundert, Munich: C.H. Beck. (Scholar)
  • Mehrtens, H., 1990b, Moderne, Sprache, Mathematik, Frankfurt: Suhrkamp. (Scholar)
  • Mehrtens, H., 1996, “Modernism vs counter-modernism, nationalism vs internationalism: style and politics in mathematics, 1900–1950”, in C. Goldstein et al. (eds.), L'Europe Mathématique. Histoires, Mythes, Identités, Éditions de la Maison de Sciences de l'Homme, Paris, pp. 519–530. (Scholar)
  • Meskin, A., 2005, “Style”, in B. Gout and D. M. Lopes (eds.), The Routledge Companion to Aesthetics, 2nd edition, London: Routledge, pp. 489–500. (Scholar)
  • Novy, L., 1981, “Notes concerning the style of Bolzano's mathematical thinking”, Acta Historiae Rerum Naturalium nec non Technicarum, 16: 9–28. (Scholar)
  • Nye, M. J., 1993, “National Styles? French and English Chemistry in the Nineteenth and Early Twentieth Centuries”, Osiris, 8: 30–49. (Scholar)
  • Panofsky, E., 1924, Idea, Berlin: Erwin Panofsky und Bruno Hessling Verlag. English translation: Idea, New York: Harper and Row, 1968. (Scholar)
  • Peckhaus, V., 2007, “Stilarten mathematischen Schaffens”, in K. Robering (ed.), “Stil” in den Wissenschaften, Münster: Nodus-Verlag, pp. 39–49. (Scholar)
  • J. H. Poincaré, 1905, La Valeur de la Science, Paris: Flammarion. English translation: The Value of Science, New York: Dover Publications, 1958. (Scholar)
  • Reck, E., 2009, “Dedekind, Structural Reasoning, and Mathematical Understanding”, in B. van Kerkhove (ed.), New Perspectives on Mathematical Practices, Singapore: WSPC Press, pp. 150–173 (Scholar)
  • Riding, R., 2000, “Cognitive Style: a Review”, in R. J. Riding and S. G. Rayner, International Perspectives on Individual Differences, vol. 1, Cognitive Styles, Stamford (CT): Ablex, pp. 315–344 (Scholar)
  • Rowe, D., 2003, “Mathematical schools, communities, and networks”, in Cambridge History of Science, vol. 5, Modern Physical and Mathematical Sciences, Mary Jo Nye (ed.), Cambridge: Cambridge University Press, pp. 113–132. (Scholar)
  • Rowe, D., 2004, “Making Mathematics in an Oral Culture: Göttingen in the Era of Klein and Hilbert”, Science in Context, 17: 85–129. (Scholar)
  • Sauerländer, W., 1983, “From Stilus to Style: Reflections on the Fate of a Notion”, Art History, 6 (3): 253–270. (Scholar)
  • Segal, S., 2003, Mathematicians under the Nazis, Princeton: Princeton University Press. (Scholar)
  • Spengler, O., 1918 (1921) Der Untergang des Abenlandes, Vienna: Verlag Braumüller. English translation: Decline of the West: Form and Actuality, 2 vols., London: Allen and Unwin. (Scholar)
  • Sternberg, R.J. and Grigorenko, E.L., 2001, “A capsule history of theory and research on styles”, in Sternberg and Zhang 2001, pp. 1–22.
  • Sternberg, R.J. and Zhang, L.F. (eds.), 2001, Perspectives on Thinking, learning, and cognitive styles, Mahwah, NJ: Lawrence Erlbaum. (Scholar)
  • Tappenden, J., 2005, “Proof style and understanding in mathematics I: Visualization, unification and axiom choice”, in Mancosu 2005, pp. 147–214. (Scholar)
  • van Bendegem, J.P., 1998, “What, if anything, is an experiment in mathematics?”, in Anapolitanos, D. et al. (eds.), Philosophy and the Many Faces of Science, Lanham: Rowman and Littlefeld, pp. 172–182. (Scholar)
  • Weiss, E.A., 1939, “Über den mathematischen Stil von Poncelet”, Deutsche Mathematik, 4: 126–127. (Scholar)
  • Wessely, A., 1991, “Transposing ‘style’ from the history of art to the history of science”, Science in Context, 4: 265–278. (Scholar)
  • Wisan, W., 1981, “Galileo and the emergence of a new scientific style”, in Theory Change, Ancient Axiomatics and Galileo's Methodology, vol. 1, J. Hintikka, D. Gruender and E. Agazzi (eds.), Dordrecht: Reidel, pp. 311–339 (Scholar)

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