Beauty in proofs: Kant on aesthetics in mathematics

European Journal of Philosophy

Volumn 23, Issue 4, 2015, Pages 955-977

  Breitenbach, Angela ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84955168803     PISSN: 09668373     EISSN: 14680378     Source Type: Journal    
DOI: 10.1111/ejop.12021     Document Type: Article

References (48)

1. Allison, H., (2001), Kant's Theory of Taste: A Reading of the Critique of Aesthetic Judgment. Cambridge: Cambridge University Press.
2. Allison, H., (2004), Kant's Transcendental Idealism: An Interpretation and Defence. New Haven, CT: Yale University Press.
3. Baumgarten, A. G., (1750), Aesthetica. Frankfurt a. d. Oder.
4. Baumgarten, A. G., (1973), ' Aesthetic ', in, H. R. Schweitzer, (ed.) Ästhetik als Philosophie der sinnlichen Erkenntnis: Eine Interpretation der 'Aesthetica' A. G. Baumgartens mit teilweiser Wiedergabe des lateinischen Textes und deutscher Übersetzung. Basel: Schwabe.
5. Bell, D., (1987), ' The Art of Judgment ', Mind, 97: 221-244.
6. Brown, J. R., (1999), Philosophy of Mathematics: An Introduction to the World of Proofs and Pictures. London: Routledge.
7. Bueno, O., and, Linnebo, Ø., (eds) (2009), New Waves in Philosophy of Mathematics. Basingstoke: Palgrave Macmillan.
8. Carson, E., (1999), ' Kant on the Method of Mathematics ', Journal of the History of Philosophy, 37: 629-652.
9. Cassirer, H. W., (1970), A Commentary on Kant's Critique of Judgment. New York: Methuen.
10. Chandrasekhar, S., (1987), Truth and Beauty: Aesthetics and Motivations in Science. Chicago, IL: University of Chicago Press.
11. Crawford, D. W., (1974), Kant's Aesthetic Theory. Madison, WI: University of Wisconsin Press.
12. Crawford, D. W., (1982), ' Kant's Theory of Creative Imagination ', in, T. Cohen, and, P. Guyer, (eds) Essays in Kant's Aesthetics. Chicago, IL: University of Chicago Press.
13. Friedman, M., (1992), Kant and the Exact Sciences. Cambridge, MA: Harvard University Press.
14. Giaquinto, M., (2007), Visual Thinking in Mathematics: An Epistemological Study. Oxford: Oxford University Press.
15. Gibbons, S. L., (1994), Kant's Theory of Imagination: Bridging Gaps in Judgment and Experience. Oxford: Clarendon Press.
16. Giordanetti, P., (1995), ' Das Verhältnis von Genie, Künstler und Wissenschaftler in der Kantischen Philosophie: Entwicklungsgeschichtliche Betrachtungen ', Kant-Studien, 86: 406-430.
17. Giordanetti, P., (2008), ' Objektive Zweckmäßigkeit, objektive und formale Zweckmäßigkeit, relative Zweckmäßigkeit (§§ 61-63) ', in, O. Höffe, (ed.) Immanuel Kant: Kritik der Urteilskraft. Berlin: Akademie Verlag.
18. Glynn, I., (2010), Elegance in Science: The Beauty of Simplicity. Oxford: Oxford University Press.
19. Guyer, P., (1997), Kant and the Claims of Taste. Cambridge: Cambridge University Press.
20. Guyer, P., (2007), ' 18th Century German Aesthetics ', Stanford Encyclopedia of Philosophy, http://plato.stanford.edu/entries/aesthetics-18th-german/
21. Hardy, G. H., (1940), A Mathematician's Apology. Cambridge: Cambridge University Press
22. Hintikka, J., (1967), ' Kant on the Mathematical Method ', The Monist, 51: 352-375 (reprinted in Posy [1992]).
23. Kant, I., (1900ff), Kants Werke. Ed. Preussische Akademie der Wissenschaften. Berlin.
24. Kant, I., (2000), Critique of Judgment, trans. P. Guyer and E. Matthews. Cambridge: Cambridge University Press.
25. Koriako, D., (1999), Kants Philosophie der Mathematik: Grundlagen, Voraussetzungen, Probleme. Hamburg: Meiner.
26. Leibniz, G. W., (1969) [1690], ' On Wisdom ', in Philosophical Papers and Letters. Dordrecht: Reidel.
27. Longuenesse, B., (1998), Kant and the Capacity to Judge: Sensibility and Discursivity in the Transcendental Analytic of the Critique of Pure Reason. Princeton, NJ: Princeton University Press.
28. Mamchur, E., (1987), ' The Heuristic Role of Aesthetics in Science ', International Studies in the Philosophy of Science, 1: 209-222.
29. McAllister, J. W., (1996), Beauty and Revolution in Science. Ithaca, NY: Cornell University Press.
30. McAllister, J. W., (ed.) (2002), ' Recent Work on Aesthetics of Science ', special issue of International Studies in the Philosophy of Science, 16.
31. Meier, G. F., (1748), Anfangsgründe aller schönen Künste und Wissenschaften. Halle.
32. Osborne, H., (1984), ' Mathematical Beauty and Physical Science ', British Journal of Aesthetics, 24: 291-300.
33. Parsons, C., (1983), ' Kant's Philosophy of Arithmetic ', in Mathematics in Philosophy: Selected Essays. Ithaca, NY: Cornell University Press (reprinted in Posy [1992]).
34. Poincaré, H., (1930), Science and Method, trans. F. Maitland. London: Thomas Nelson & Sons.
35. Posy, C. J., (1992), Kant's Philosophy of Mathematics: Modern Essays. Dordrecht: Kluwer.
36. Potter, M., (2000), Reason's Nearest Kin: Philosophies of Arithmetic from Kant to Carnap. Oxford: Oxford University Press.
37. Rota, G.-C., (1977), ' The Phenomenology of Mathematical Beauty '. Synthese, 111: 171-182.
38. Rueger, A., (1997), ' Experiments, Nature and Aesthetic Experience in the Eighteenth Century ', British Journal of Aesthetics, 37: 305-322.
39. Rueger, A., (2007), ' Kant and the Aesthetics of Nature ', British Journal of Aesthetics, 47: 138-155.
40. Shabel, L., (1998), ' Kant on the "Symbolic Construction" of Mathematical Concepts ', Studies in History and Philosophy of Science, 29: 589-621.
41. Shabel, L., (2006), ' Kant's Philosophy of Mathematics ', in, P. Guyer, (ed.) Cambridge Companion to Kant and Modern Philosophy. Cambridge: Cambridge University Press.
42. Wenzel, H. C., (2001), ' Beauty, Genius and Mathematics: Why did Kant Change his Mind? ', History of Philosophy Quarterly, 18: 415-432.
43. Wenzel, H. C., (2005), An Introduction to Kant's Aesthetics: Core Concepts and Problems. Malden, MA: Blackwell.
44. Wigner, E., (1960), ' The Unreasonable Effectiveness of Mathematics in the Natural Sciences ', Communications in Pure and Applied Mathematics, 13: 1-14.
45. Winterbourne, A. T., (1988), ' Art and Mathematics in Kant's Critical Philosophy ', British Journal of Aesthetics, 28: 266-277.
46. th edn. Halle.
47. Young, J. M., (1982), ' Kant on the Construction of Arithmetical Concepts ', Kant-Studien, 73: 17-46.
48. Young, J. M., (1988), ' Kant's View of Imagination ', Kant-Studien, 79: 140-164.