Advertisement

The Difference Between Original, Metaphysical and Geometrical Representations of Space

  • Clinton TolleyEmail author
Chapter

Abstract

Tolley argues, first, for a sharper distinction between three kinds of representation of the space of outer appearances: (i) the original intuition of space, (ii) the metaphysical representation of this space via the a priori concept “expounded” in the Transcendental Aesthetic, and (iii) the representation of this space in geometry, via the construction of concepts of spaces in intuition. He then shows how more careful attention to this threefold distinction allows for a conservative, consistently nonconceptualist and non-intellectualist interpretation of the handful of suggestive remarks Kant makes in the Transcendental Deduction about the dependence of various representations of space on the understanding—against recent interpretations which argue that the Deduction’s remarks require that Kant revise the impression given in the Aesthetic (and elsewhere) that intuition in general, and the original intuition of space in particular, enjoys a priority to, and independence from, all acts and representations of the understanding.

Keywords

Geometrical Representation Geometrical Concept Metaphysical Representation Basic Proposition Outer Appearance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Bibliography

  1. Allais, Lucy.2009. Kant, Non-Conceptual Content and the Representation of Space. Journal of the History of Philosophy 47(3): 383–413.CrossRefGoogle Scholar
  2. ———.2015. Manifest Reality: Kant’s Idealism and His Realism. Oxford: Oxford University Press.CrossRefGoogle Scholar
  3. Carson, E.1997. Kant on Intuition in Geometry. Canadian Journal of Philosophy 27(4): 489–512.CrossRefGoogle Scholar
  4. Friedman, M2000. Geometry, Construction, and Intuition in Kant and his Successors. In Between Logic and Intuition, eds. G. Sher and R. Tieszen, 186–218. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
  5. ———2012. Kant on Geometry and Spatial Intuition. Synthese 186(1): 231–255.CrossRefGoogle Scholar
  6. ———2015. Kant on Geometry and Experience. In Mathematizing Space, ed. V. De Risi, 275–309. Dordrecht: Springer.Google Scholar
  7. Heis, J2014b. Kant (vs. Leibniz, Wolff, and Lambert) on Real Definitions in Geometry. Canadian Journal of Philosophy 44(5/6): 605–630.CrossRefGoogle Scholar
  8. Kant, I. 2014. On Kästner’s Treatises, trans. and ed. C. Onof and D. Schulting. Kantian Review 19(2): 305–13.Google Scholar
  9. Longuenesse, B.1998a. Kant and the Capacity to Judge. Princeton: Princeton University Press.Google Scholar
  10. Longuenesse, B1998b. Synthèse et donation. Philosophie 60: 79–91 [translated in Longuenesse (2005), pp, 64–78].Google Scholar
  11. McDowell, J2009. Having the World in View: Essays on Kant, Hegel, and Sellars. Cambridge, MA: Harvard University Press.Google Scholar
  12. McLear, C2015. Two Kinds of Unity in the Critique of Pure Reason. Journal of the History of Philosophy 53(1): 79–110.CrossRefGoogle Scholar
  13. Messina, J.2014. Kant on the Unity of Space and the Synthetic Unity of Apperception. Kant-Studien 105(1): 5–40.CrossRefGoogle Scholar
  14. Messina, J2015. Conceptual Analysis and the Essence of Space. Archiv für Geschichte der Philosophie 97(4): 416–457.CrossRefGoogle Scholar
  15. Onof, C., and D. Schulting.2014. Kant, Kästner and the Distinction between Metaphysical and Geometric Space. Kantian Review 19(2): 285–304.CrossRefGoogle Scholar
  16. ———.2015. Space as Form of Intuition and as Formal Intuition: On the Note to B160 in Kant’s Critique of Pure Reason. Philosophical Review 124(1): 1–58.Google Scholar
  17. Patton, L.2011. The Paradox of Infinite Given Magnitude: Why Kantian Epistemology Needs Metaphysical Space. Kant-Studien 102(3): 273–289.CrossRefGoogle Scholar
  18. Schulting, D2015b. Probleme des “kantianischen” Nonkonzeptualismus im Hinblick auf die B-Deduktion. Kant-Studien 106(4): 561–580.CrossRefGoogle Scholar
  19. Sellars, W1968. Science and Metaphysics: Variations on Kantian Themes. London: Routledge and Kegan Paul.Google Scholar
  20. Shabel, L.2004. Kant’s “Argument From Geometry”. Journal of the History of Philosophy 42(2): 195–215.CrossRefGoogle Scholar
  21. Shabel, L2010. The Transcendental Aesthetic. In The Cambridge Companion to Kant and Modern Philosophy, ed. P. Guyer, 93–117. Cambridge: Cambridge University Press.Google Scholar
  22. Sutherland, D2005b. Kant on Fundamental Geometrical Relations. Archiv für Geschichte der Philosophie 87(2): 117–158.CrossRefGoogle Scholar
  23. Tolley, C.2013. The Non-Conceptuality of the Content of Intuitions: A New Approach. Kantian Review 18(1): 107–136.CrossRefGoogle Scholar

Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.Department of PhilosophyUniversity of California San DiegoSan DiegoUSA

Personalised recommendations