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Articles

‘With a Philosophical Eye’: the role of mathematical beauty in Kant's intellectual development

Pages 759-788 | Received 31 Aug 2014, Accepted 17 Nov 2014, Published online: 11 Dec 2014

References

  • Unless otherwise noted, all translations of Kant's writings are from the Cambridge Translation of the Works of Immanuel Kant. In referring to Kant's writings in German, I have used the following abbreviations: AA = Kant 1902, BDG = Der einzig mögliche Beweisgrund zu einer Demonstration des Daseins Gottes (AA 02), KU = Kritik der Urtheilskraft (AA 05), PND = Principiorum primorum cognitionis metaphysica nova dilucidatio (AA 01), Refl = Reflexionen zur Metaphysik (AA 17), ÜE = Über eine Entdeckung (AA 08), VT = Von einem neuerdings erhobenen vornehmen Ton in der Philosophie (AA 08).
  • de Maupertuis, Par M.1751. Essai de Cosmologie [Essay on Cosmology]. Published in German the same year as Versuch einer CosmologieBerlin: C.G. Nicolai.
  • Euclid. 1908. The Thirteen Books of Euclid's Elements. Translated with introduction and commentary by T.L. Heath. 3 vols. Cambridge: Cambridge University Press.
  • Fistioc, Mihaela C.2002. The Beautiful Shape of the Good: Platonic and Pythagorean Themes in Kant's Critique of the Power of Judgment. London: Routledge.
  • Galileo, Galilei. 1914. Dialogue Concerning Two New Sciences. Translated by Henry Crew and Alfonso de Salvio. New York: Macmillan.
  • Giordanetti, Piero. 2008. “Objective Zweckmässigkeit, objective und formale Zweckmässigkeit, relative Zweckmäwwigkeit [Objective Purposiveness, Objective and Formal Purposiveness, Relative Purposiveness].” In Kritik der Urteilskraft, edited by OtfriedHöffe, 61–63. Berlin: Akademie Verlag. Chapter 12.
  • Kant, Immanuel. 1902. Kants gesammelte Schriften [Kant's Collected Writings]. 29 vols. Issued by the Prussischen Akademie der Wissenschaften (vols. 1–22), the deutchen Akademie der Wissenschaften (vol. 23), and the Akademie der Wissenschaften zu Göttingen (vols. 24–29)Berlin: de Gruyter.
  • Kant, Immanuel. 1992. Theoretical Philosophy, 1755–1770. Translated and edited by David Walford in collaboration with Ralf Meerbote. Cambridge: Cambridge University Press.
  • Kant, Immanuel. 2002. Critique of the power of judgment. Edited by Paul Guyer and translated by Paul Guyer and Eric Matthews. Cambridge: Cambridge University Press.
  • Kant, Immanuel. 2011. Der einzig mögliche Beweisgrund zu einer Demonstration des Daseins Gottes [The Only Possible Argument for a Demonstration of God's Existence]. Philosophische Bibliothek, vol. 631. Edited by Lothar Kreimendahl and Michael Oberhausen. Hamburg: Felix Meiner Verlag.
  • Leibniz, G. W.1858. Leibnizens mathematische Schriften [Leibniz's Mathematical Writings]. Part 2, vol. 1. Edited by C. I. Gerhardt. Halle: Schmidt.
  • Leibniz, G. W.1996. Theodicy. Edited with an introduction by Austin Farrer and translated by E.M. Huggard. La Salle, IL: Open Court.
  • Leibniz, G. W., and ChristianWolff. 1860. Breifwechsel zwischen Leibniz und Christian Wolff [Correspondence between Leibniz and Christian Wolff]. Edited by C. I. Gerhardt. Halle: Schmidt.
  • Nuzzo, Angelica. 2005. Kant and the Unity of Reason. West Lafayette, IN: Purdue University Press.
  • Wicks, Robert. 2007. Kant on Judgment. London: Routledge.
  • Wolff, Christian. 1736. Philosophia prima, sive Ontologia, methodo scientifica pertractata [First Philosophy, or Ontology, treated with the Scientific Method]. New editionFrankfurt: Libraria Rengeriana.
  • Wolff, Christian. 1738. Der Anfangs-Gründe aller Mathematischen Wissenschaften [The First Principles of all Mathematical Sciences]. Part 1. Fourth improved and expanded edition. Frankfurt and Leipzig: Rengerischen Buchhandlung.
  • Wolff, Christian. 1741. Vernünfftige Gedancken von den Absichten der natürlichen Dinge [Rational Thoughts on the Purposes of Natural Things]. 4th ed.Halle: Rengerischen Buchhandlung.
  • Wolff, Christian. 1747. Vernünfftige Gedancken von Gott, der Welt und der Seele der Menschen, auch allen Dinging überhaupt [Rational Thoughts on God, the World and the Soul of the Human Being, and all Things in General]. New and enlarged edition. Halle: Rengerischen Buchandlung.

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