Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-26T03:20:48.124Z Has data issue: false hasContentIssue false
  • English
  • Français

Kant on the construction and composition of motion in the Phoronomy

Published online by Cambridge University Press:  01 January 2020

Daniel Sutherland
Daniel Sutherland*
Affiliation:
Department of Philosophy, University of Illinois at Chicago, Chicago, IL, 60607, USA
*
*Email: sutherla@uic.edu
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper examines the role of Kant’s theory of mathematical cognition in his phoronomy, his pure doctrine of motion. I argue that Kant’s account of how we can construct the composition of motion rests on the construction of extended intervals of space and time, and the representation of the identity of the part–whole relations the construction of these intervals allow. Furthermore, the construction of instantaneous velocities and their composition also rests on the representation of extended intervals of space and time, reflecting the general approach to instantaneous velocity in the eighteenth century.

Keywords

philosophyKantphilosophy of mathematicsphilosophy of sciencehistory of mathematicshistory of science
Type
Research Article
Information
Canadian Journal of Philosophy , Volume 44 , Issue 5-6: Special Issue: Mathematics in Kant’s Critical Philosophy , December 2014 , pp. 686 - 718
Copyright
Copyright © Canadian Journal of Philosophy 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Clagett, Marshall. 1959. The Science of Mechanics in the Middle Ages. Madison: University of Wisconsin Press.Google Scholar
Friedman, Michael. 2013. Kant’s Construction of Nature: A Reading of the Metaphysical Foundations of Natural Science. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Grant, Edward. 1996. The Foundations of Modern Science in the Middle Ages. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Kant, Immanuel. 1998. Critique of Pure Reason. Translated and edited by Paul Guyer and Allen Wood. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Kant, Immanuel. 2004. Metaphysical Foundations of Natural Science. Translated and edited by Michael Friedman. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Robinson, Abraham. 1966. Non-standard Analysis. Princeton: Princeton University Press.Google Scholar