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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
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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

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References

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